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NIPER-542

Distribution Category UC-122

USER'S GUIDE AND DOCUMENTATION MANUAL FOR


"BOAST-VHS FOR THE PC" NIPER--5 42

Topical Report DE92 001021

By
Ming-Ming Chang
Partha Sarathi
Raymond J. Heemstra
Aaron M. Cheng
James F. Pautz

January 1992

Work Performed Under Cooperative Agreement No. FC22-83FE60149

Prepared for
U.S. Department of Energy
Assistant Secretary for Fossil Energy

Thomas B. Reid, Project Manager


Bartlesville P"oject Office
P. O. Box 1398
Bartlesville, OK 74005

Prepared by
IIT Research Institute
National Institute for Petroleum and Energy Research
P. O. Box 2128
Bartlesville, Oklahoma 74005

_.:q
TABLE OF CONTEN'FS

SECTION PAGE

ABSTRACT ............................................................................................... 1

I. INTRODUCTION ..................................................................................... 1
1.1 Background ................................................................................... 1
1.2 Mechanics of simulation .................................................................... 2
1.3 Black oil simulators .......................................................................... 2

II. ACKNOWLEDGMENTS ......................................................................... 3

III. BOAST-VHS ....................................................................................... 3


3.1 Model overview .............................................................................. 3
3.2 Model features ............................................................................... 4
3.3 Dynamic redimensioning ................................................................... 5
3.4 Restart capabilities ........................................................................... 6
3.5 Program limitations .......................................................................... 6
3.6 Restart limitations ............................................................................ 7

IV. SYSTEM REQUIREMENTS AND STARTING UP OF BOAST-VHS ................... 7

4.1 What you need ................................................................................ 7


4.2 How it works ................................................................................ 8
4.3 Backing up ................................................................................... 8
4.4 Loading the BOAST-VHS Program onto the hard disk ................................. 9
4.5 Starting up the program ................................................................... 10
4.6 Data input requirements ................................................................... 11
4.7 Comments concerning data input conventions ......................................... 12
4.8 Hints on how to run BOAST-VHS ...................................................... 12

V. DATA INITIALIZATION ....................................................................... 14

5.1 Introduction ................................................................................. 14


5.2 How to build an input data file ........................................................... 14
5.3 Grid dimensions and geometry .......................................................... 15
5.4 Modifications to grid dimensions ........................................................ 18
5.5 Elevations to top of grid-blocks in layer I .............................................. 19
5.6 Porosity and permeability distribution .................................................. 20
5.7 Modifications to porosity and permeability distributions ............................. 22
5.8 Transmissibility modifications ........................................................... 24
5.9 Relative permeability and capillary pressure tables .................................... 30
5.10 Oil-water-gas PVT tables ................................................................. 31
5. I 1 Pressure and saturation initialization ................................................... 34
5.12 Debug and diagnostics codes ............................................................ 37
5.13 Run control parameters ................................................................... 39
5.14 Solution method control parameters ...................................................... 40

iii
TABLE OF CONTENTS - Continued

SECTION PAGE

VI. RECURRENT DATA ........................................................................... 41

6.1 Introduction ................................................................................. 41


6.2 Time-step and output control codes ..................................................... 42
6.3 Well information records ................................................................. 44

VI!. INTERPRETATION OF MODEL OUTPUT ............................................... 51

7.1 Model start-up .............................................................................. 51


7.2 Recurrent data .............................................................................. 52

VIII. SIMULATION PLANNING .................................................................. 54

8.1 Introduction ................................................................................. 54


8.2 Input data gathering ........................................................................ 54
8.3 History matching ........................................................................... 57
Step I. Initialization ..................................................................... 59
Step II. Pressure match ................................................................. 59
Step III. Saturation match ............................................................... 59
Step IV. Productivity index match ...................................................... 59
8.4 Prediction runs .............................................................................. 60

IX. EXAMPLE INPUT DATA FILES AND OUTPUT .......................................... 60

9.1 Introduction ................................................................................. 60


9.2 Problem description ....................................................................... 60
Test problem 1 ............................................................................. 61
Test problem 2 ............................................................................. 61
Test problem 3 ............................................................................. 61
9.3 Program validation ......................................................................... 61
9.4 BOAST-VHS diskette ............................................................. ........ 62

X. References .......................................................................................... 63

XI. Glossary ............................................................................................ 64

Appendix A - Test problem 1 .......................................................................... 65


Input data for test problem 1 .................................................................... 65
Summary report for test problem 1............................................................. 68
Part of the output file for test problem 1 ....................................................... 69

Appendix B - Test problem 2 .......................................................................... 76


Input data for test problem 2 .................................................................... 76
Summary report for test problem 2 ............................................................. 79

Appendix C - Test problem 3 .......................................................................... 81


Input data for test problem 3 .................................................................... 81
Summary report for test problem 3 ............................................................. 83

iv
TABLES
pA(_E

5-1. Options for grid-block geometry ........................................................ 17


5-2. Options for grid-block properties ....................................................... 21
5-3. Options for initializing pressure and saturation ........................................ 35
5-4. Options for controlling diagnostics output ............................................. 38
6-1. Options for controlling well performance .............................................. 46
8-1. Minimum required infomlation for a reservoir simulation study .................... 55
8-2. Sources of common reservoir data required for simulation studies ................. 56

ILLUSTRATIONS

FIGURE
!. Example of three continuous shale streaks across three interfaces ................... 27
2. Example of broken (discontinuous shale streaks along three interfaces ............. 28
3. Side view of grid to show angle theta .................................................... 49
4. Top view of grid to show angle alpha .................................................... 50
5. Side view to show a slanted wellbore position in x-z axis ............................ 51
USER'S GUIDE AND DOCUMENTATION MANUAL FOR
BOAST-VHS FOR THE PC

By Ming-Ming Chang, Partha Sarathi, Raymond J. tleemstra,


Aaron M. Cheng, and James F. Pautz

ABSTRACT

The recent advancement of computer technology makes reservoir simulations feasible in a


personal computer (PC) environment. This manual provides a guide for running BOAST-VHS, a
black oil reservoir simulator for vertical/horizontal/slant wells, using a PC. In addition to detailed
explanations of input data file preparation for simulation runs, special features of BOAST-VHS
are described and three sample problems axe presented.

BOAST-VHS is a cost-effective and easy-to-use reservoir simulation tool for the study of
oil production from primary depletion and waterflooding in a black oil reservoir. The well model
in BOAST-VHS permits specification of any combination of horizontal, slanted, and vertical
wells in the reservoir. BOAST-VHS was designed for an IBM PC/AT, PS-2, or compatible
computer with 640 K bytes of memory. BOAST-VHS can be used to model a three-dimensional
reservoir of up to 810 grid blocks with any combination of rows, columns, and layers, depending
on the input data supplied. This dynamic redimensioning feature facilitates simulation work by
avoiding the need to recompiling the simulator for different reservoir models. Therefore the
program is only supplied as executable code without any source code.

The manual starts with a general background of reservoir simulation in Section I and
continues with the mechanism, capabilities and limitations of BOAST-VHS in Section III. System
requirements for the PC and step-by-step procedures for running this simulator are explained in
Section IV. This is followed by explanations for preparing an ivput data file with reservoir data in
Section V and recurrent data in Section VI. Example data inputs are enclosed after explanations of
each input line to help the user prepare his or her data files. Major items of the output files are
reviewed in Section VII. Section VIII guides the user in planning a typical simulation run.
Finally, three sample p:'oblems for running BOAST-VHS are described in Section IX and input
files and part of output liles of these problems are listed in the appendix.

I. INTRODUCTION
1.1 BackgroljnO

Reservoir studies are performed to predict the future performance of a reservoir based on its
current state and past performance and to explore methods for increasing the ultimate recovery of
hydrocarbons from a reservoir. Reservoir simulators are routinely used for these purposes. A
reservoir simulator is a sophisticated computer program which solves a system of partial
differential equations describing multiphase fluid flow (oil, water, gas) in a porous reservoir rock.

Simulators can be classified according to the systems they are able to simulate;
1. Number of phases and components in the reservoir modelled by the simulator.
2. Type of reservoir process to be modelled.
3. The direction(s) of fluid flow to be modelled.
4. Formulation to be used to solve the flow equations.

According to the number of phases, a reservoir simulator can be a one-, two-, or three-phase
model (gas, oil and/or water) and the number of components could vary from 1 to N.. According
to the type of process, a reservoir simulator can be classified as a black oil, compositional, or
enhanced oil recovery (EOR) simulator. According to the direction of fluid flow, a reservoir
simulator can be one-, two-, or three-dimensional. According to the formulation, a reservoir
simulator can be an IMPES (implicit in pressure - explicit in saturation) model, a fully implicit
model, or an adaptively implicit model.

The bases for reservoir simulators are:


• reservoir engineering principles,
• a set of partial differential equations to describe the flow of fluids through porous
media,
• finite difference techniques to obtain numerical solutions for the p_u'tial differential
equations for fluid flow, and
• computer programming to perform a the calculations electronically

1.2 Mechanics of _imulation

The reservoir is first divided into segments, or blocks, using X, Y, and Z axes. Rock and
fluid properties are then assigned to each block to describe the reservoir system. Computations are
carried out for ali phases in each block at discrete time steps. The results, or output, usually
consist of production volumes and rates, pressure and saturation distributions, material balance
errors, and other process specific information provided at selected time steps.

1.3 Black Oil Simulators

The most routinely used type of reservoir simulator is the "black oil simulator." Black oil
simulators describe multiphase flow in porous media without considering the composition of the
hydrocarbon fluid. They assume that the liquid hydrocarbon phase consists of only two
c._,tnponents: oil ancl gas in solution. The gas phase consists of only free hydrocarbon gas. Mass
transfer of oil components from the liquid to the gas phase is not considered. Phase behavior is
represented by formation volume factor and gas/oil ratio curves.

The _eservoir fluid approximations are found to be acceptable for a large percentage of the
world's oil reservoirs. Thus, black oil simulators have a wide range of applicability and are
routinely used for solving field production problems. Example applications include: aquifer
behavior, up-dip gas injection, flank water injection, vertical water influx, vertical equilibrium,
single well operations, _,imulation of large multi-well structures, reservoir cross sectional analysis,
gravity segregation effects, heterogeneity effects, simulation of large reservoirs of several non-
communicating producing horizons, multiple completions with or without commingled production,
stratified flow patterns, and analysis of migration across lease lines.

Although black oil simulators are well suited for studies of numerous problems, they do have
some limitations in their scope of applications. They cannot be used to study cases where mass
transfer between phases is important. For example, black oil simulators cannot be used to study
problems associated with gas condensate and volatile oil reservoirs. In these reservoirs, the
composition and physical properties of the phases change with pressure. Similarly black oil
simulators cannot be used to simulate EOR processes, such as thermal (steam and in situ
combustion), chemical (surfactant and polymer), hydrocarbon miscible, and CO2 flooding.

II. ACKNOWLEDGMENTS

The authors wish express their appreciation to David Terhune for his review of the model
and the test problems. We also express our appreciation to Edna Hatcher and Bill Linville for
assisting in prepm ation and editing of the manual.

III. BOAST-VHS
3.1 Model Ov_,rvi_w

Black Oil Applied Simulation Tool tor Vertical/Horizontal/Slant Wells (BOAST-VHS) is a


three-dimensional, three-phase, finite-difference black oil simulator developed for use on a
personal computer. The model is based on the widely known, public domain, black oil model
BOAST, l which was published by the Department of Energy (DOE) in 1982. The horizontal and
slanted well model 2 added to BOAST-VHS can be used to simulate the production and injection
from any combination of vertical, horizontal, and slanted wells. BOAST II 3 was published by
DOE in 1987 to add features useful in full field simulation. Most of the features added to BOAST
in the BOAST II version are not in BOAST-VHS for the PC because of the operating system's
(DOS) memory constraint.
The BOAST-VHS program simulates isothermal, darcy flow in three dimensions. The
simulator assumes that the reservoir fluids can be described by three fluid phases (oil, water, and
gas) of constant compositJoo whose properties are functions of pressure only. BOAST-VHS can
simulate oil and/or gas recovery by fluid expansion, displacement, gravity drainage, and imbibition
mechanisms.

BOAST-VHS employs the implicit pressure - explicit saturation (IMPES) formulation for
solving its system of finite-difference equations. The IMPES method finds the pressure
distribution for a given time step first, then the saturation distribution for the same time step. The
IMPES formulation is straightforward, requires less arithmetic per time step, and hence is faster
than other formulations. Further, the IMPES formulation requires less storage than a fully implicit
formulation. This permits the simulation of larger problems on a small computer such as a
microcomputer.

Because of the explicit treatment of saturation in the IMPES method, the solution obtained by
use of this method may not be st,.,ble for some cases. This is especia_!y true for cases where rapid
changes in saturation result from high flux rates or the use of small grid blocks. In such cases, the
stability can be restored by reducing the time step size drastically. This then can cause computing
time requirements to become excessive. Since near-wellbore coning problems result in rapid
saturation changes, models based on IMPES formulations are unsuitable for the study of such
problems. Therefore, BOAST-VHS is not recommended for use in simulating single-well coning
phenomena.

BOAST-VHS employs the line-successive, over-relaxation (LSOR) iterative solu_irn


technique to solve the system of pressure equations. This method requires less storage and usually
is faster for larger problems than other methods. The central processing unit (CPU) time for the
iterative methods depends on the type of problem to be solved and the selection of the iterative
parameter. This is the main disadvantage of the iterative method.

3.2 Model Fealures

BOAST-VHS is recommended as a cost-effective reservoir simulation tool for the study of


such problems as primary depletion, pressure maintenance (by water and/or gas injection) and
basic secondary recovery operations (such as waterflooding) in a black oil reservoir using slanted
or horizontal wells, in addition to conventional vertical wells. The model is a modification of the
DOE BOAST simulator with some added user friendly features. Like BOAST, BOAST-VHS can
simulate oil and/or gas recovery by fluid expansion, displacement, gravity drainage, and capillary
imbibition mechanisms.

The well model in BOAST-VHS permits specification of rate or pressure constraints on well
performance. The model also allows the user to add or recomplete wells during the period
represented by the simulation. Several other features are included in the model, such as flexible
initialization capabilities, a bubble point pressure tracking scheme, an automatic time step control
method, a zero transmissibility option (inactive grid blocks), and a material balance check on
solution stability.

The program permits the inpnt of ali data using the field-free format. The term "field-free
format" as applied to BOAST-VHS means that an item of data need not appear in a particular
location on a data input line. One restriction is that the values must be entered in a specific
sequence although they are not confined to specific locations, The main advantage of format free
data entry is that it simplifies the preparation, review, and visual checking of the data, thus
minimizing input errors. A "key word" convention is not used.

One useful feature of BOAST-VHS is dynamic redimensioning of the rows, columns, and
layers in defining the grid block model. This feature allows the program operator to change the
grid dimensions using the data input file instead of rewriting the computer code as required in the
original BOAST program.

Another feature permits the user to stop the program, modify the data file, and then rcstart the
simulation run. This feature can be useful to reduce the computing time for a study that determines
the best operating conditions for a reservoir.

3.3 DynamiC RedimCn_i0nin_

The purpose of the dynamic redimensioning is to allow the operator of the program to set the
grid block number in three-dimensional simulation using the data input file. This allows the user to
tailor the simulation to the level of data available and his specific requirements. The more grid
blocks in a simulation the more accurate the represe_,tation of the reservoir and therefore the better
the prediction of reservoir performance. However, the larger the number of grid blocks, the more
time required for the computer to complete the simulation.

Dynamic redimensioning is the ability of the program to adjust the three-dimensional grid
blocks of the reservoir arrays. The main program has an array with non-adjustable bounds that can
call a subroutine with a reservoir array having adjustable dimensions. This allows variables st,_h
as pressure, fluid saturation, porosity, and penneability to be passed to the subroutine as
argm rants for each grid block. The size and bounds or this reservoir array are determined by the
set of arguments also passed to the subroutine and are controlled ftore the input file. As many as
810 grid blocks can be simulated in any combination of rows, columns, and layers, depending on
tile input data supplied. For example, the input data could require a 28 by 28 grid with 1 layer or a
20 by 20 grid with 2 layers, and so on. The product of the three dimensions can be any value up
to the limit of 810. This limit is imposed by the 640 kilobyte limitation inherent in Microsoft TM
DOS for Intel TMcomputer processing chips used in IBM-ATBBM-compatible personal computers.

3.4 Restarl: Canabilities


-

An important additional program feature to BOAST is the restart capability after a normal
reservoir simulation run. The program can be instructed to run a simulation for a given time period
and then, after nomaal termination, be restarted from that point in time with a new set of operating
conditions. This feature is activated by entering the flag for restart in the initial input data file.
This flag will cause the program to generate a restart file that ends "RST". This new restart data
file needs to be modified to enter the new operating conditions for the time period from the end on
the first simulation until the new ending time. TMAX is reset to the duration of the combined
simulations - the initial simulation plus the period after restart. The restart file needs to be renamed
with an extension other than "RST" to avoid the new restart output file from overwriting the new
input file. If a new TMAX is not entered into the restart fi'2 with a text editor, the simulation will
not continue. Other data structures in t_e restart input file may need to be removed with tile editor
if the production/injection strategy needs to be changed from the previous simulation run. For
example, waterflood injection rate completed during the first simulation may need to be removed
before the restart begins if the injection plan varies with time. These changes usually occur in the
recurrent data records.

3.5 Prod, ram Limitations

BOAST-VI-IS does have certain limitations which must be recognized to be able to use the
program effectively. The n_\jor limitation of BOAST-VFtS is that the program is not recommended
fc,r simulating• conin,,_ phenomena. Further, because of the memory limitations of a
microcomputer, this _;ir_t_latorca__n,,t bc u.,,edto perform very l_,:ge simulations. The program also
]., r;,)t recommended i'(_testimating lhc pcrfornmnce _)I"a reservc)ir under active waterdrive or for
.:_,+,delinggas production wells. "I'hc,,;clin_itati(ms are inhercnt in IMPt/.S solutions. BOAS'+" has
,.(,.)_cmathcn-mtic:_l i)_st,_bilitit:stl_at are sclf-corrccling, s() that cumulative productiot_s and average
i+._tl+)rt ratc_; atrc rcas()f'J;.tblyac_:ur:ttc. [Jt:fortunately, some of lhc it_,,tnt_tat_c(_usproduction
rates are not reasonable and can show sharp spikes in the graphed curves when ratios, such as
GOR, are plotted against time. Smaller time steps can reduce this effect. As long as the
application does not involve rapid pressure changes that are a problem wi_h IMPES, BOAST-VHS
should give reasonable results in the range of those obtained by other horizontal well simulators. 3
Comparative results are discussed in section X.

While BOAST-VHS does have some limitations, it is versatile enough to handle a large
number of commonly encountered black oil simulation problems on microcomputers. With
memories at 640 kilobytes or larger and a hard disk drive, BOAST-VHS can accommodate as
many as 810 grid blocks and is very economical for conducting small to moderate size simulations.
lt can be used to simulate single wells in different geometry throughout a reservoir. The angle of
penetration can be varied from 90 ° to 180 °. The examp.!e problems included with this manual
illustrate the scope and capabilities of this simulator.

3.6 Restart Limitations

Under the RESTART option (shown under Section 5.3 data input line 3 and 4), a run with a
short time limit followed by a restart run with a long time limit will show production rates
noticeably different from those of a continuous simulation run over the total time period. On the
other hand, a restart run with a long time limit period followed by a restart with a short time limit
would show much closer agreement to one continuous simulation over the total period.

This problem arises because the restart parameters are stored in an editable text file similar to
the original input data file. Only a binary file of ali simulation variables being used could overcome
this "butterfly" effect. Another problem is the inherent mathematical instability of BOAST. If the
first simulation ends on a spike in the gas production, the restarted simulation suffers an additional
inaccuracy.

IV. SYSTEM REQUIREMENTS AND STARTING UP BOAST-VHS


4.1 _hat You Need

The minimum system requirements to run BOAST-VHS on a personal computer are as follows:
Computer - IBM PC/AT, PS-2, or compatible.
Operating system- PC-DOS or MS-DOS version 2.1 or later.
Memory - 640 K minimum.
Disk capacity - 1.2 megabyte 5 1/4 or 1.44 megabyte 3 1/2 floppy drive. A hard disk drive
is a must for all but the smallest simulation. A second floppy drive is assumed in the
manual, but it is not necessary if a large hard disk drive is used.
Disk capacity - 1.2 megabyte 5 1/4 or 1.44 megabyte 3 1/2 floppy drive. A hard disk drive
is a must for all but the smallest simulation. A second floppy drive is assumed in the
manual, but it is not necessary if a large hard disk drive is used.
Printer - Dot matrix or ink jet printer. A wide carriage is preferred.
Math coprocessor is strongly recommended, because it can speed up the program's
operation (8087, 80287, or 80387 are math coprocessor. A i486 fM has a built-in
coprocessor but the new 486SX has the coprocessor turned off.).
BOSTVHSM.EXE has an emulated math coprocessor built into the software to
operate on machines without a coprocessor. (NOTE: BOSTVHSM.EXE should be
renamed BOASTVHS.EXE when it is loaded on the hard disk - see section 4.4.)

4.2 How lt Works

BOAST-'v HS is a program that needs an input data file from your disk and that writes an
output file to your disk.

Using BOAST-VHS is a two-step process. First you create an input file on your disk with the
DOS line editor "EDLIN" or any other text editor that generates an ASCII output. You can use a
word processing program to generate an ASCII input file, if it is able to generate an ASCII file
When the program is run, it creates an output file in printable form. You can then scan the output
on a screen and/or, use the DOS "PRINT" command to print the file.

4.3 Backing Up

It is a good idea to back up the program as soon as reasonable. For this, you will need a
blank, formatted diskette to serve as the backup. Unless otherwise specified, the term disk (or
diskette) refers to a floppy diskette that meets tile specifications listed above.

Load your DOS diskette in drive A and piace a blank diskette in drive B. Then type in a
response to the DOS prompt A>:

FORMATB: and press the Enter key

Follow the instructions on the screen as the system asks you to insert a diskette in drive B.
When formatting is complete, the system will ask if you would like to format another diskette-
respond by typing N. The A> prompt will now appear.

Remove your DOS diskette from drive A and replace it with your BOAST-VHS diskette.
:, _wtype in response to the DOS prompt A>:
COPY ".* B: and press the Enter key

This will back up the programs on your BOAST-VHS diskette to the blank diskette, which
you should label and store in a safe place.

4.4 Loadin_ v the BOAST-VHS Program


v onto the Hard Disk

The BOAST-VHS pror'ram should be copied onto a hard disk under the subdirectory
BOAST. To install BOAST-VHS onto a hard disk, use the follown_g procedure. It is assumed
that your system default drive is A and that your hard (fixed) drive is C. (If your computer does
not have a math coprocessor, substitute BOSTVHSM.EXE for BOASTVHS.EXE or rename it to
BOASTVHS.EXE.)

1. Make certain that DOS is ready and that A> is displayed.

2. Now, type in response to the DOS prompt.

A>G: and press the Enter key.

This will then establish your hard disk as the default drive and the DOS prompt C> will
appear on the screen. (NOTE: If you are using Microsoft version of DOS, the DOS
prompt will be C:_>)

3. To create a subdirectory BOAST, type in response to the DOS prompt.

C>MD BOAST

DOS will create the subdirectory BOAST in the current directory in drive C.

4. Next, to access the subdirectory BOAST, type in response to the DOS prompt:

C>CD BOAST

After a few seconds, the DOS prompt C> will appear er the monitor. If your
'AUTOEXE.BAT' file includes the command "PROMPT $ '$G", then the following
will appear on the screen.

C:/BOAST>

5. The software for BOAST-VHS is on one diskette. The diskette contains the

simulator program, BOASTVHS.EXE and BOSTVHSM.EXE. To copy BOAST-


VHS onto a hard disk under the subdi_ :ctory BOAST, insert BOAST-VHS diskette in
drive A and type the following in response to the DOS prompt:

C>COPY A:BOASTVHS.EXE (or A:BOSTVHSM.EXE ) BOASTVHS.EXE


This procedure will copy the BOASTVHS.EXE program to the subdirectory BOAST in the
hard disk.

4.5 Startin_ v Up the Program


- v

From the hard disk, go to the subdirectory BOAST and type in response to the DOS prompt:

C>BOAST-VHSand press the Enter key.

(It is assumed that you have copied BOAST-VHS.EXE program onto the hard disk in the
subdirectory BOAST)

After a few seconds, the following will appear on the screep.

PLEASEENTERYOUR DISKDRIVEAND INPUTFILENAME,SUCHAS "C:BOASTVHS.DAT


°'

In response to the DOS prompt, type the name of the disk drive and the name of the input file as:

C> A: INPUT.DATand press the enter key

In the above example, A is the drive in which you plan to insert your input file diskette
containing the file INPUT.DAT. It is assumed that you have created the input file INPUT.DAT.
If you are using a hard disk and if your input file INPUT.DAT resides in the hard disk, then type
in response to the DOS prompt:
C>C: INPUT.DAT

It is assumed that both BOAST-VHS and the input files reside in the same directory on the
hard disk. The next section explains in detail how to build an input file. After entering the input
file name and pressing the Enter key, the following will appear on the screen:

PLEASE ENTER YOUR DISK DRIVE AND OUTPUT FILE NAME

(Another CR will default to "A:INPUT.OUT")

In response to the DOS prompt, type the name of the disk drive and output file name as

C> B: OUTPUT.DATand press the Enter key

Caation: Be certain that you specify a file name and have adequate disk space for the file(s). In the
above example, B is the drive in which you plan to insert a blank fomaatted diskette. The program
x:iI! write ali the output information on this diskette and label it as OUTPUT.DAT. If the restart

10
flag has been set, OUTPUT.RST will also be created. These files will be found in the
subdirectory BOAST if you have followed the above suggestions.

Caution: You should select the print code judiciously so that only the needed information is
printed. Otherwise a large volume of output will be created and you will risk running out of disk
spa,_e before the simulation is completed. The time !o print the details of the simulation can be
significant.

4.6 Data Inpu| Requir_m_n|s

This section describes briefly the input requirements For BOAST-VHS. A complete
description of the input data required to run BOAST-VHS is given here and in Sections IV and V.
A brief discussion on how to create ahd edit an input data file using DOS line editor is also
included in Section IV.

All input data for the simulator are contained in a single file. This data can be divided into two
groups: (a) initialization data and (b) recurrent data. The initialization data include reservoir
geometry, rock porosity and permeability, initial pressure and saturation data, relative pemleability
and capillary pressure tables, and fluid PVT data. Also included in this section are the necessary
run control parameters and solution specific_ti_.,as.

The recurrent data include the location and initial specifications of wells in the model, time
step control information for advancing the simulation through time, a schedule of i_dividual well
rates and/or pressure performance, changes in well completions and operations over time, and
controls on the type and frequency of printout information provided by the simulator.

Throughout the description of input data in Sections IV and V, the term "header" is used to
refer to specific input data records. These records are designed to serve as delineators and/or as
data identifiers. The header record may be used to identify conveniently specific data items on the
subsequent record or records.

Ali data values are identified by a name that corresponds to the actual variable name in the
model. All data except the 'header' records are entered as free-field format. The term "free-field
format" as applied to this program means that an item of data need not appear in a particular
location on a data input line. The term 'line' refers to an individual line in an input data set as
entered on the monitor. Input data must be entered in a sequence, and a value must be specified for
each input datum. If more than one value must appear on a line, each value must be separated lr(_m
neighboring data by at least one space.

11
l_I ii II ,

As an example of "free-field format:," suppose that you wish to read an integer value of 8 and
a real value of 76.9 on one input line. This may be entered as follows:

8 76.9
or 8 76.9
or 8 7.69E01
However, it can not be entered as 876.9. Ali header records are read with an 'A' format.

4.7 Comments Concerning Data Input Conventions

If a full grid of input v_lues of rows (x-direction), columns (y-direction), and layers (z-
direction) (II, JJ, and KK values respectively) must be read for a particular parameter, the
following input order must be followed:

To read in a full grid of input values for a particular parameter (II = number of grid blocks in
x-direction, JJ = number of grid blocks in y-direction, KK = number of grid blocks in z-direction),
Layer 1 (K = 1) is read first. The data in each layer are read in by rows, starting with Row 1 (J =
1). Values of the parameter for Columns I = 1 to II are read for the first row, starting with column
1 (I = 1). After II values have been read for the first row, values are read for the second row (J =
2), etc. until JJ rows of data are read. This process is repeated for Layer 2 (K = 2), etc. until KK
layers of data are read.

BOAST-VHS uses a right-handed coordinate reference. The Z-direction values will increase
going down. For K = 1, II x JJ values must be read in the following order.

J= 1, I= 1,2 .... II
J=2, I= 1,2 .... II
J = ................... II
J =JJ, I = 1,2 ...II

Because II x JJ x KK values are required for each reservoir p_u'ameter, the complexity and
size of the input file grows iradirect proportion with the number of grid blocks.

4.8 tlints on !low To Run B()AST-VH$

BOAST-VHS is a sophisticated simulation tool that permits the study of a variety of problems
er_.countered in reservoir management and production operations. The program contains several

12
options, and to be able to use it most effectively to predict the performance of a reservoir, the user
must be familiar wit'_ them.

Perhaps the best way to become acq_ainted with BOAST-VHS, and to have a feel for the
operating parameters, is to run the program with diffex'ent sets of input data. lt is suggested that
the user first scan through the data input sections (Sections IV and V) to become familiar with the
general format of the input and then look at the examples in Section IX. These examples illustrate
the capability of the model to simulate multi-weil, multidimensional reservoir engineering and
production problems. These examples can be used as a general guide.

Although no default values are provided for input parameters (a value must be entered for ali
parameters), the range of typical values for most parameters can be seen in the three test problem
input files.

BOAST-VHS contains an automatic time-step control feature and material balaJ_ce calculations
for each fluid phase. Although time-steps can be controlled, it is recommended that autom_tic
time-step control be used for most runs. This feature allows the program to maintain a step size
that is large enough for the problem being simulated, yet small enough to avoid pressure and/or
saturation oscillations and to give acceptable solutions. A minimum time-step size of 0.1 day is
recommended for _utomatic time-step control. This minimum time-step will be used only if it is
needed to satisfy the user-specified maximum pressure and saturation constraints. The maximum
recommended saturation changes are 5 to 10 % for typical problems. Maximum pressure change is
normally less critical and typically may be 50 to 100 psi. To help determine if saturation and
pressure changes are acceptably small, the user should study both time-step and material balances.

BOAST-VHS performs material-balance calculations at the end of each time-step, as a check


to determine the degree to which the finite-difference solutions obtained from the IMPES procedure
actually satisfy the conservation equations. This basically involves comparing the change of each
fluid phase over time with the quantities of fluid produced and injected over the same time period.
The change in fluid content (STB or MCF) is estimated directly from calculated pressures and
saturations. Quantities produced and/or injected are determined from the production and injection
rates at ali wells.

Time-step material balances are printed on each summary report and should always be
checked carefully before accepting any run as a 'final' result. In general, time-step material balance
errors should normally be les._ than 0.1%.

13
An excessive material-balance error is an indication of a large saturation and/or pressure
change that causes the results of BOAST to be an inaccurate simulation. The problem can usually
be overcome by reducing the time-step size. This can be performed by specifying a smaller
minimum step-size and reducing saturation and pressure tolerances.

V. DATA INITIALIZATION
5.1 Introduction,

This section describes in detail the data required to initialize the simulation program. These
include the reservoir model grid dimensions and geometry, porosity and permeability distributions,
relative permeability and capillary pressure data, fluid PVT data, initial pressure and saturation
distributions within the reservoir, run control and d_agnostic parameters, time step control
parameters, and parameters for LSOR solution procedures. (BOAST-VI-tS uses the LSOR
solution procedures of BOAST. 1 Other solution techniques available in BOAST and BOAST II
were not included so that the BOAST-VHS program has the maximum number of grid blocks for
simulation and still runs on a PC.) These data are read only once at the beginning of the
simulation. They must be read in the order in which they appear in the following input data
sections.

5.2 How To Build an In_out Data File

This section describes briefly how to build an input data file using a DOS line editor. Using a
text editing program that is designed for programming and preparing data input files can save time
and is recommended if moderate size input files are expected.

First, you will need a blank, formated diskette to write the input file you plan to create.
Suppose you want to create an input file INPUT.DAT. Load your DOS diskette in drive A and
place a blank formatted diskette irl drive B. Make sure DOS is ready and C> is displayed on the
screen.

Then type
C> EDLINB:INPUT.DAT and press the Enter key.

The following message and prompt will then appear c,n tile screen.
NewFile

No,re that the prompt for EDLIN is an asterisk (*)

14
During the insert mode of operation, successive line numbers will appear automatically each time
you press the enter key.

When you have finished creating your input file, press Ctrl-Break (Control-Scroll lock) key.
This will get you out of the insert mode of operation, and the EDLIN prompt (*) will appear on the
screen. Now type
E and press the Enter key.

The file you have just created wil! then be saved by writing it to diskette on drive B and
labeled as 'INPUT.DAI". If the hard disk is used for the input file, change your current directory
to BOAST. When DOS is ready and C> (or C:_BOAST>) is displayed on the screen, type in
response to the DOS prompt.
C>EDLININPUT.DATand press the Enter key.

For more information on how to use the DOS line editor, consult your DOS manual.

The next several sections describe in detail the input data for the simulator. Each input entry
is illustrated by an example.

5.3 Grid Dimensions and Geometry

Line 1: Title or name of the run


FORMAT: 40A2
READ: Header
Note: This line is used to enter the title of the simulation program. Enter any desired
'alphanumeric run title information up to 80 characters.
Example: BOAST-VHS TEST RUN: PRIMARY DEPLETION OF A HORIZONTAL WELL
IN 40 ACRES

Line 2: This line is used to enter the number of grid blocks in each direction.
READ: II, JJ, KK
II -- number of grid blocks in the X-direction (cannot exceed 200)
JJ = number of grid blocks in the Y-direction (cannot exceed 200)
KK = number of grid blocks in the Z-direction (cannot exceed 20)
Note: Total number of grid blocks (= II x JJ x KK) cannot exceed 810 for an IBM-PC/AT.
Example: 99 1
This specifies that there are nine grid blocks each in the X- and Y-, direction, respectively, and one
in the Z direction.

Line 3: Use this line to identify the next set of data


READ: Header (40A2)

15
Line 3: Use this line to identify the next set of data
READ: Header (40A2)
Example: +SO SHALE RESTART DT

Line 4: Enter switch codes or flags.


READ: NSO, NSHALE, NRESTART, NDT
NSO = 1, oil saturation distribution files will be created.
0, oi' saturation distribution files will not be created.
NSHALE - 1, "SHALE ZEROING" option will be invoked.
0, "SHALE ZEROING" option will not be invoked.
NRESTART = 1, "RESTART" data file will be created at the end of sin'mlation run.
NRESTART = 0, "RESTART" data file will not be created at the end of simulation
run.
NDT is the interval of time steps for which summary results will be printed in the
summary table.
Example: 0 0 1 5

Line 5: Use this line to identify the next set of data.


READ: Header (40A2)
Example: SAME X,Y, AND Z LENGTHS FOR ALL GRIDS.

Line 6: This line is used to enter codes for inputting grid block dimensions.
READ: KDX, KDY, KDZ
KDX = Code for specifying X-direction grid dimensions (see Table 5-1)
KDY = Code for specifying Y-direction grid dimensions (see Table 5-1 )
KDZ = Code for specifying Z-direction grid dimensions (see Table 5-1)
Example: -1 -1 -1. Specifies a single length for each dimension ofthe grids.

Line 7: This line is used to enter the X-direction grid dimensions in ft.
READ: DX
Example: 147
This specifies that the X-direction grid block length is 147 ft.
Note: See table 5-1 for the number of values. When KDX = 0 or 1, the order of input must
be as follows:
J=l I=19 II
J=2, I= 1,2 ..... II
. .,..., + .,.,.,..,..... °, .,.

J=JJ, I= 1,2,....II

16

+
TABLE 5-1. - Options for grid-block geometry

Code Value Grid dimension specifications

KDX -1 X-direction grid dimensions are the same for ali grid blocks; input only
one DX value

KDX 0 X-direction grid dimensions are read for each grid-block in the first row (J
= 1) of layer one (K = 1) input II values of DX. These same x-direction
dimensions are assigned to ali other rows and ali other layers in the model
grid.

KDX 1 X-direction dimensions are read for every grid block in layer one (K = 1).
input II x JJ values of DX. These same X-direction dimensions are
assigned to all other layers in the model grid.

KDY -1 Y-direction grid dimensions are the same for ali grid blocks; input only one
DY value.

KDY 0 Y-direction grid dimensions are read for each grid block in the first column
(I = 1) of layer one (K = 1). Input JJ values of DY. These same Y-
direction dimensions are assigned to all other columns and ali other layers
in the model grid.

KDY 1 Y-direction dimensions are read for every grid block in layer one (K = 1);
input II x JJ values of DY. These same Y-direction dimensions are
assigned to ali other layers in the model grid.

KDZ -1 Z-direction grid dimensions are the same for all grid blocks; input only one
DZ value.

KDZ 0 A constant value of thickness is read for each layer in the grid; input KK
values of DZ.

KDZ 1 Z-direction grid dimensions are read for every grid block; input II x JJ x
KK values of DZ.

Line 8: This line is used to enter the Y-direction grid dimensions in ft.
READ: DY
Example: 147
This specifies that the Y-direction grid block length is 147 ft.
Note: See table 5-1 for the number of values. When KDY = 0 or 1, the order of input must
be as follows:
I=l,J=l,2 ..... JJ
I=2, J= 1,2 ..... JJ
• .,,,.,,.,,,,..... .... ...,,

I = II, J = 1,2..... JJ

17
Line 9: This line is used to enter the Z-direction grid dimensions in ft.
READ: DZ
Example: 20
This specifies that the Z-direction grid block length is 20 ft.
Note: See table 5-1 for the number of values. When KDZ = 1, the order of input must be as
indicated in line 5 above with the layer order K = 1,2..... KK.

5.4 Modifications to Grid Dimensigns:

Line 1: Use this line to identify the next set of data.


READ: Header (40A2)
Example: GRID BLOCK DIMENSION MODIFICATIONS

Line 2: This line is used to enter the number of grid blocks where grid dimensions are to be
changed; plus print code.
READ: NUMDX, NUMDY, NUMDZ, IDCODE
NUMDX = Number of grid blocks where X-direction grid dimensions (DX) is to be
changed.
NUMDY = Number of grid blocks where Y-direction grid dimensions (DY) is to be
changed.
NUMDZ = Number of grid blocks where Z-direction grid dimensions (DZ) is to be
changed.
IDCODE = Print code for grid dimension alterations.
If IDCODE = 0, do not print the modified grid dimensions.
If IDCODE = 1, print the mgdified grid dimensions.
Example: 0 0 0 0
This specifies that there is no change in grid dimensions; and that the dinaensions are
not to be printed (even if they were modified).

Line 3: Use NUMDX set of lines to enter the coordinates of the blocks in the X-direction
whose dimensions are to be modified; omit this line if NUMDX = 0.
READ: I, J, K, DX
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
DX = New X-direction grid dimension (DX) for block (I, J, K)
Note: NUMDX lines must be read.

18

k
Line 4: Use NUMDY set of lines to enter the coordinates of the blocks in the Y-direction
whose dimensions are to be modified;
omit this line if NUMDY = O.
READ: I, J, K, DY
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
DY = New Y-direction grid dimension (DY) for block (I, J, K)
Note: NUMDY lines must be read

Line 5: Use NUMDZ set of lines to enter the coordinates of the blocks in the Z-direction whose
dimensions are to be modified;
omit this line if NUMDZ = O.
READ: I, J, K, DZ
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
DZ = New Z-direction grid dimension (DZ) for block (I, J, K)
Note: NUMDZ lines must be read.

5.5 Elevations to To9 of Grid-Blocks in Layer |

Remember that with the coordinate system used here, Z-direction values increase going
down. Thus, elevations must be read as positive depths below the user selected reference datum.
Negative values will be interpreted as heights above the datum.

Line 1 Use this line to identify the next set of data.


READ: Header (40A2)
Example: CAPROCK AT BASE DEPTHS
Line 2: This line is used to enter the code for inputting grid-block
elevations.
READ: KEL
KEL = Input code
REMARKS: (1) If KEL = 0, a single constant value is read for the elevation at the top of all grid
blocks in Layer 1. (i.e., horizontal plane).
(2) If KEL = 1, a separate elevation value must be read for each grid block in Layer
1. II x JJ values must be read.

19
Example: 0
This specifies that a single elevation value is to be read.

i.iuc 3: This line is used to enter the depth values.


Rv.Al): EI_.EV
F]_t: ': Elevation to top of grid blocks in l)et
Example: 8.'_,_5 I)
This specifies that the top of the formation is 3325 feet below the datum.
REMARKS' (1) When KEL = 0, read only one value
(2) When KEl, = I, read II x JJ values. These values must be read in the following
order:
J=l •_ I=1"_ °,,,,..,_ . . . • II
J=2, I= 1,2,....II
........... , .... ,,.........

J = J J, l= 1 9 II

(3) Elevations to the top of the grid-blocks in layers below Layer 1 will be
calculated by adding the layer thickness to the preceding layer elevation: i.e.,
TOP (I, J, K + 1) = TOP (I, J, K) + DZ (I, J, K I

5.6 Porosity and Permeability Distributions

I.ine 1" Use this line to identify next set of data.


READ: [leader (40A2)

Example: POROSITY AND PERMEABILITY INPUTS

Line 2: This line is used to enter the code for controlling porosity and pemaeability data input.
READ: KPH, KKX, KKY, KKZ

KPtt = Code for controlling porosity input data (See table 5-2)
KKX = Code for controlling X-direction permeability (Sec table 5-2)
KKY = Code for controlling Y-direction permeability (See table 5-2)
KKZ = Code for controlling Z-direction permeability (See table 5-2)
Example: -1-1-1-1

This specifies that porosity and permeabilities are uniform over the grid. Only one
porosity value and one value for each X, Y and Z direction pemleability is to be read.

Line 3" This line is used to enter porosity values as a fraction.


READ: PHI

Example: 0.25 specifies 25% porosity

2O
Note: (a) Porosity is read as a fraction (not as a percentage)
(b) See table 5-2 for the number of values. When KPH = + 1, the order of input must be
as indicated below with layer order
K= 1,2,... KK
J=l,l =1,2 ..... II
J = 2, I = 1,2..... II
• ..o, o,.o.. °........ oo. o, ..

J = JJ, I = 1,2, .... II

TABLE 5-2. - Options for grid-bl,ck properties

Code Value Porosity and permeability specification_


KPH -1 Porosity is uniform over the grid; input only one PHI value.

KPH 0 Porosity varies by layer; input KK values of PHI

KPH +1 Porosity varies over the entire grid; input II x JJ x KK values of PHI

KKX -1 X-direction permeability is uniform over the grid; input only one KX value

KKX 0 X-direction permeability varies by layer; input KK values of KX

KKX +1 X-direction permeability varies over the entire grid; input II x JJ x KK


values of KX

KKY -1 Y-direction permeability is uniform over the grid; input only one KY value

KKY 0 Y-direction permeability varies by layer; input KK values of KY

KKY +1 Y-direction permeability varies over the entire grid; input II x JJ x KK


values of KY

KKZ -1 Z-direction permeability is uniform over the grid; input only one KZ value

KKZ 0 Z-direction permeability varies by layer; input KK values of KZ

KKZ +1 Z-direction permeability varies over the entire grid; input II x JJ x KK


values of KZ

21
Line 4: This line is used to enter X-direction permeability values in md.
READ: KX

KX = X-direction permeability values


Example: 200.0

This specifies that the X-direction permeability is 200 nad.


Note: (a) Permeabilities read in millidarcies (md); KX is a real variable.
(b) See table 5-2 for the number of values. When KKX = + 1, the order of input must
be as indicated for Line 3 above with layer order K = 1,2..... KK

Line 5: This line is used to enter Y-direction permeability values in rod.


READ: KY

KY = Y-direction permeability values (in millidarcies)


KY is a real variable
Example: 200.0

This specifies that the Y-direction permeability is 200 rod.


Note: See table 5-2 for the number of values. When KKY = + 1, the order of input must be
as indicated for line 3 above with layer order K = 1, 2..... KK

Line 6: This line is used to enter Z-direction permeability values irl md.
READ: KZ

KZ = Z-direction permeability values (in millidarcies);


KZ is a real variable
Example: 20.0

This specifies that the Z-direction permeability is 20 nad.


Note: See table 5-2 for the number of values. When KKZ = + I, the order of input must be
as indicated for line 3 above with layer order K = 1, 2 ..... KK

5.7 Modifications to Porosity and Permeability Distribt|tion_

Line 1: Use this line to identify next set of data.


READ: Header (40A2)
Example: POROSITY AND PERMEABILITY MODIFICATION LINES

g.., z,,
Line 2" This line is used to enter the nurnber of grid blocks where porosity
and/or permeability values are to be changed, as well as the print code.
READ: NUMP, NUMKX, NUMKY, NUMKZ, IPCODE
NUMP = Number of grid-blocks where porosity (PHI) values are to be changed
NUMKX = Number of grid-blocks where X-direction permeability values (KX) are
to he changed
NUMKY = Number of grid-blocks where Y-direction permeability values (KY) are
to be changed
NUMKZ = Number of grid-blocks where ,'_-direction permeability values (KZ) are to
be changed
IPCODE = Print code for porosity and permeability alterations
If IPCODE = 0, do not print modified porosity and permeability alterations
If IPCODE = 1, print modified porosity and permeability distribution
Example: 20001
This specifies that the porosity values are to be _nodif:,cdin
two grid blocks; no permeability changes and print the modified value._°

Line 3: Use NUMP sets of lines to enter the coordinates c f the blocks where porosity is to be
modified; omit this line if NUMP ----0.
READ: I, J, K, PHI
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
PHI = New value of porosity in fraction for block (I, J, K)
Example: 1 1 1 0.125
9 1 1 0.125

This specifies that the porosity of the grids (1,1,1) and (9,1,1) are to be changed to
0.125.
Note: (1) Porosity must be entered as a fraction
(2) NUMP lines must be read

Line 4: Use NUMKX sets of lines to enter the coordinates of the blocks in d,,c
X-direction where pemaeability (KX) is to be modified.
READ: I, J, K, KX
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified

23
_!
K = Z-coordinate of block to be modified
KX = New value of X-direction permeability (KX) for block (I, J, K) in millidarcies
Note: (1) NUMKX lines must be read
(2) KX is a real variable
Example: No line in our example problem.

Line 5: Use NUMKY sets of lines to enter the coordinates of the blocks in the Y-direction
where permeability (KY) is to be modified.
READ: I,J, K, KY
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
KY = New value of Y-direction permeability (KY) for block (I, J, K) in millidarcies
Example: No line in our example problem.
Note: (1) NUMKY lines must be read
(2) KY is a real variable

Line 6: Use NUMKZ sets of lines to enter the coordinates of the blocks in the Z-direction
where pemaeability (KZ) is to be modified.
READ: I, J, K, KZ
I = X-coordinate of block to be modified
J = Y-coordinate of block to be n,odified
K = Z-coordinate of block to be modified
KZ = New value of Z-direction permeability (KZ) for block (I, J, K)
in millidarcies
Example: No line in our example problem.
Note: (1) NUMKZlines must be read
(2) I<Zis a real variable

5.8 Transmissib_li|y M_)flificalions

Note: lt is extremely important to keep in mind the directional convention used in specifying
transmissibility modifications. For example, m grid block (I, J, K).
TX (I, J, K) is the X-direction transmissibility which refers to flow across the boundary
between blocks I-1,J,K and I,J,K
TY (I, J, K) is the Y-direction transmissibility which refers to flow across the boundary
between blocks I,J-1,K and I,J,K

24
TZ (I, J, K) is the Z-direction transmissibility which refers to flow across the boundary
between blocks I,J,K-1 and I,J,K

5.8.1 Shale Zeroing Options

Line 1: Use this line to identify the next set of data.


READ: Header (40A2)
Example: SHALE BREAKS

Line 2: This line is used to enter the code for selecting shale zeroing (vertical transmissibility
modification) options. Shale zeroing means the Z-direction transmissibility (TZ) is set
equal to 0.0 and no flow can occur across the layer.
READ: NSHOPS
NSHOPS = Code for selecting shale options
Example: 0; this specifies no shale (option)
REMARKS: (1) If NSHOPS = 0, no shale option is selected. Go to Line 7
(2) If NSHOPS = 1, zero out the entire layer(s) i.e., continuous shale layer.
(3) If NSHOPS = 2, simulate broken layers, i.e., discontinuous shale layer
(4) Skip lines 3 through 6 if NSHOPS = 0

Line 3: This line is used to enter a single value representing the total number of boundaries
(between layers) affected. Omit this line if NSHOPS = 0.
READ: NTLAYR
NTLAYR = Total number of shale streaks to be introduced. For example, if you want
to introduce two shale barriers, one between Layers 1 and 2 and the other between
Layers 5 and 6, then set NTLAYR = 2. If you want to introduce broken or
discontinuous shales streaks between two layers, then NTLAYR = 2 again.
Example: No line in our example problem.

Line 4: Omit this line if NSHOPS = 2.


Line 4 is used to enter the location of an interface where
transmissibilities are to be zeroed. Read NTLAYR values;
one value per line.
READ: KT
KT = Location of the interface
Example: No line in our example problem.
Note: (1) NTLAYR lines must be read

25

=
(2) To zero out the interface between layers 1 and 2 (i.e., no flow across the boundary
between layers 1 and 2), then set KT = 2. Similarly to zero out the interface between
layers 2 and 3, then set KT = 3, etc.
(3) Caution" If you set KT = 1, there will be flow out of the model.

Line 5: Omit this line if NSHOPS = 1


Line 5 is used to enter the layer location and the location of the
0lock where you want the Z-direction transmissibility to be zero.
Read NTLAYR set of values;
READ: KT,NUTM
KT = location of the interface
NUTM = Number of blocks along the interface where you want no flow (see examples
below).
Example: No line in our example problem.
Note: (1) NTLAYR lines must be read.
(2) To zero out the interface between layers 1 and 2 (i.e. no flow across the boundary
between layers 1 and 2), set KT = 2. Similarly to zero out the interface between
layers 2 and 3, set KT = 3, etc.
(3) Caution: If you set KT = 1, there will be flow out of the model.
(4) Read this line only if NSHOPS = 2

Line 6: Omit this line if NSHOPS = 1


Line 6 is used to enter the X-coordinate of the block where the interface transmissibility
is set to zero. Read NUTM lines, one value per line.
READ: IGBL
IGBL = X-coordinate of the block whose transmissibility is to be modified.
Example: No line in our example problem.
Note: (1) Read NUTM sets of lines, one value per line.
REMARKS" The following examples are presented to help clarify shale zero option inputs.
Example 1: Continuous shale streak option (NSHOPS = 1)
NSHOPS = 1
NTLAYR = 3
KT =2
KT =4
KT =6

26
Explanation: In the above example, no flow (zero transmissibility due to presence of continuous
shale streaks [NSHOPS = 1]) will occur across three interfaces [NTLAYR = 3] (See
figure 1). These interfaces are:
(a) boundary between layer 1 and 2 (KT = 2);
(b) boundary between layers 3 and 4 (KT = 4); and
(c) boundary between layers 5 and 6 (KT = 6).

3 N 3

N i:i:i

8 \ 4
Y-1,..,JN 5

III
FIGURE 1. - Example of three continuous shale streaks across three interfaces.

Example 2: Discontinuous (broken) shale option (NSHOPS = 2)


NSHOPS = 2

NTI.AYR =3

KT,NUTM = 2,2
IGBL = 2

IGBL = 5 / forNUTM = 2 / forNTLAYR = 1

KT, NUTM = 3,3


IGBL = 1

IGBLIGBL
= 3
3/=4 / f°rNUTM = forNTLAYR = 2

27
KTNUTM = 5,1

IGBL = 2 /
/
forNTLAYR = 3

Explan.ation: In the above example, broken shale (discontinuous) streak occurs along three
interfaces; between layers 1 and 2 (KT = 2) two (NUTM = 2) values of Z-direction
transmissibility will be zeroed resulting in no flow between blocks (2,1,1) and (2,1,2)
and no flow between blocks (5,1,1) and (5,1,2) (IGBL = 2 and 5). The remainder of
the sequence zeros flow between blocks: (1,1,2) and (1,1,3); (3,1,2) and (3,1,3);
(4,1,2) and (4,1,3); (2,1,4) and (2,1,5).

Z--l_

6 2,1,5

FIGURE 2.- Exarr,p]e of broken (discontinuous) shale streaks along three interfaces.

Line 7: Use this line to identify next set of data.


READ: Header (40A2)
Example: TRANSMISSiBILITY MODIFICATIONS

28
Line 8: This line is used to enter the number of grid blocks where transmissibilities are to be
changed, and print code.
READ: NUMTX, NUMTY, NUMTZ, ITCODE
NUMTX = Number of grid blocks where X-direction transmissibility (TX) is to be
changed
NUMTY = Number of grid blocks where Y-direction transmissibility (TY) is to be
changed
NUMTZ = Number of grid blocks where Z-direction transmissibility (TZ) is to be
changed
ITCODE = Print code for transmissibility modification
If ITCODE = 0, do not print the modified transmissibility distributions
If ITCODE - 1, print the modified transmissibility distributions
Example: 0 () () 0
This specifies that no transmissibility modifications are to be made or printed.

Line 9: Use NUMTX sets of lines to enter the coordinates of the blocks in the X-direction
where transmissibility (TX) is to be modified. Omit this line if NUMTX = 0.
READ: I, J, K, TX
I = X-coordinate of block to be modified
J - Y-coordinate of block to be modified
K = Z-coordinate of block to be modified

TX = New value of X-direction transmissibility (TX) in md-ft for block (I, J, K)


Note: NUMTX lines must be read

Line 10: Use NUMTY sets of lines to enter the coordinates of the blocks in the Y-direction

where transmissibility (TY) is to be modified. Omit this line if NUMTY - 0


READ: I, J, K, TY
I = X-coordinate of block to be modifed
J = Y-coordinate of block to be modified
K - Z-coordinate of block to be modified
TY - New value of Y-direction transmissibility (TY) for block (I, J, K)
Note: NUMTY lines must be read

Line 11: Use NUMTZ sets of lines to enter the coordinates of the blocks in the Z-direction
where transmissibility (TZ) is to be modified. Omit this line if NUMTZ = O.
READ: I, J, K, TZ
I = X-coordinate of block to be modified
J = Y-coordinate of block to be modified
K = Z-coordinate of block to be modified
TZ = New value of Z-direction transmissibility (TZ) for block (I, J, K)
Note: NUMTZ lines must be read

5.9 Rela|ive Permeability and Capillary Pressure Tables

Line 1: Use this line to input table headings.


READ: Header (40A2)
Example: SAT KRO KRW KRG PCOW PCGO

Line 2: Read relative permeability ,and capillzu'y pressure tables.


READ: SAT1 KRO1 KRWI KRG1 PCOW1 PCGO1
SAT2 KRO2 KRW2 KRG2 PCOW2 PCGO2

SATn KROn KRWn KRGn PCOWn PCGOn


Note: (1) SATn must be 1.1 or greater
(2) Read each saturation as a fraction in ascending order
(3) Read as many lines as there are table entries (Maximum number of table entries
allowed is 25)
(4) KRO, KRW etc. are real variables

Example: 0.0 0.0 0.0 0.0 0. 0. Begin the relative pemaeability/capillary


0.10 0.0 00 0.0 0. 0.0 pressure data with lowest saturation.
0.20 0.0015 0.0 0.075 0 0.0
0.30 0.0023 0.0122 0.190 0. 0.0
0.40 0.0370 0.0244 0.410 0. 0.0
0.50 0.057l 0.0336 0.72 0. 0.0
0.60 0.134 0.0672 087 0. 0.0
0.70 0.207 0.1344 0.94 0. 0.0
0.80 0.604 0.2688 0.9667 0. 0.0
090 1.00 0.4704 0.9933 0. 0.0
1.10 1.0 0.5 1.0 O. 0.0 Saturation greater than orequal to 1.10
specifies the end of the relative
permeability/capillary pressure data.

3O
SAT = Phase saturation
KRO = Oil phase relative permeability, fraction
KRW = Water phase relative permeability, fraction
KRG = Gas phase relative permeability, fraction
PCOW = Oil-water capillary pressure, psi
PCGO = Gas-oil capillary pressure, psi
REMARKS" SAT refers to the saturation of each particular phase,
Example: In a data line following SAT = 0.3; KRO would refer to the oil relative
permeability in the presence of 30% oil saturation, KRW would refer to the
water relative permeability in the presence of 30% .water saturation; KRG
would refer to the gas relative permeability in the presence of 30% g._
saturation; PCOW would refer to the oil-water capillary pressua-e in the
presence of 30% water saturation, and PCGO would refer to the gas-oil
capillary pressure in the presence of 30% _ saturation.

5.10 Oil-Water-Gas PVT.. Tables

Line 1" Use this line to input table headings for next line.
READ: Header (40A2)
Example: PBO VS;LOPE BSLOPE RSLOPE PMAX IREPRS

Line 2: Use this line to enter the values of bubble-point pressure, undersaturated oil properties,
and maximum PVT table pressure.
READ: PBO, VSLOPE, BSLOPE, RSLOPE, PMAX, IREPRS
PBO = Initial reservoir oil bubble-point pressure, psia
VSLOPE = Slope of the oil viscosity versus pressure curve for pressure above PBO
(i.e., for under-saturated oil). This value is in cp/psi
BSLOPE = Slope of oil formation volume factor versus pressure curve for pressure
above PBO (i.e., for under-saturated oil). This value is in RB/STB/psi.
RSLOPE = Slope of the solution gas-oil ratio versus pressure curve for pressure
above PBO (i.e., for under-saturated oil). This value is in SCF/STB-
psi
PMAX = Maximum pressure entry for all PVT tables, psia
IREf-'RS = Code for repressurization algorithm;
IREPRES = 0 means no repressurization will be performed,
IREPRES = 1 means repressurization will be performed.
Example: 4014.7 0.0 -0.000001 0. 9014.7 1

3!
Notes: (1) VSLOPE, BSLOPE and RSLOPE are used only _'orunder-saturated oil
(2) BSLOPE should be a negative number and is related to under-saturated oil
compressibility, CO by Co = BSLOPE/BO
(3) Normally, RSLOPE will be zero
(4) If IREPRS = 0, a new bubble-point pressure will be calculated for each grid block
containing free gas at the end of each time step.
(5) PMAX (90i 4.7 in this example data file) is used as a termination flag for other PVT
input variables.

Line 3: Use this line to input oil-PVT table headings.


_: Header (40A2)
Example: PRES VISCO BO RSO

Line 4: Read oil PVT data.


READ: P1 MUO1 BO1 RSO1
P2 MUO2 BO2 RSO2

PMAX MUO @ PMAX BO @ PMAX RSO @ PMAX


P = Pressure, psia
MUO = Oil viscosity, cP
BO = Oil formation volume factor, RB/STB
RSO = Solution gas-oil ratio, SCF/STB
Example: 14.7 2.0 1.5 1.0
4014.7 2.0 1.5 1.0
9014.7 2.0 1.5 1.0 PMAX (9014.7) specifies end of oil PVT data
Note: (1) The last pressure entry must be PMAX as specified in line 2.
(2) Oil oroperties must be entered as saturated data over the entire pressure range.
Laboratory saturated oil data will generally have to be extrapolated above the measured
bubble-point pressure to cover the maximum pressure range anticipated during the
simulation run. q'h¢_saturated oil data are required because of the bubble-point u'acking
scheme used by BOAST-VHS.
(3) Tile saturated oil data above the initial bubble point pressure will only be used if the
local reservoir pressure rises above the initial bubble point pressure and free gas is
introduced. Ao example of this would be pressure maintenance by gas injection into
the oil zone.
(4) Total number of table entries cannot exce_ 25.

32
Line 5: Use this line to input water PVT table headings.
READ: Header (40A2)
Example: PRES VISW BW RSW

Line 6: Read water PVT data.


READ: P1 MUW1 BW1 RSW1
P2 MUW2 BW2 RSW2
.................................

PMAX MUW @ PMAX BW @ PMAX RSW @ PMAX


P = Pressure, psia
MUW = Water viscosity, cp
BW = Water formation volume factor, RB/STB
RSW = Solution gas-waterratio, SCF/STB
Example: I4.7 1.00 1.0 0.0
4014.7 1.0 1.0 0.0
9014.7 1. 1.0 0.0 PMAX (9014.7) specifies end of water PVT data
Notes" (1) The last pressure entry must be PMAX as specified in line 2.
(2) The assumption is often made in black oil simulations that the solubility of gas in
reservoir brine can be neglected. This model incorporates this water PVT table to
handle such situations as gas production from geo-pressured aquifers, or any other
case where gas solubility in water is considered to be of significance to the solution of
the problem.
(3) Total number of table entries should be 25 or less.

Line 7" Use this line to input gas PVT table headings and rock compressibility.
READ: Header (40A2)
Example: PRES VISG BG CR

Line 8" Read gas PVT data and rock compressibility.


READ: P1 MUG1 BG1 CR1
P2 MUG2 BG2 CR2

PMAX MUG @ PMAX BG @ PMAX CR @ P MAX


P = Pressure, psia
MUG = Gas viscosity, cp
BG = Gas fomlation volume factor, RCF/SCF
CR = Rock compressibility, psi -1

3.3
Example: 14.7 0.0080 0.935800 0.000003
264.7 0.0096 0.067902 0.000003
514.7 0.0112 0.035228 0.000003
1014.7 0.0140 0.017951 0.000003
2014.7 0.0189 0.009063 0.000003
2514.7 0.0208 0.007266 0.000003
3014.7 0.0228 0.006064 0.000003
4014.7 0.0268 0.004554 0.000003
5014.7 0.0309 0.003644 0.00(0)03
9014.7 0.0470 0.002167 0.000003 PMAX (9014.7) specifies end of gas PVT data.
Note: (1) The last pressure entry must be PMAX as specified in line 2.
(2) Total number of table entries should be 25 or less.

Line 9: Use this line to identify next set of input data.


READ: Header (40A2)
Example: RHOSCO RHOSCW RHOSCG

Line 10: Read stock tank fluid densities.


READ: RHOSCO, RHOSCW, RHOSCG
RHOSCO = Stock tank oil density, lb/cu ft
RHOSCW - Stock tank water density, lb/cu ft
RHOSCG = Gas density at standard conditions, lb/cu ft
Example: 46.244 62.238 0.0647
Note: (1) Stock tank conditions are 14.7 psia and 60° F
(2) If no gas exists, set RHOSCG = 0.0

5.11 Pressure and Saturation Initialization

BOAST-VHS contains two options for pressure and saturation initialization. Initial
pressure and saturation distributions can be calculated based on equilibrium conditions using the
elevations and pressure of tile gas-oil and water-oil contacts (option 1). Alternatively, the initial
pressure distribution can be read on a block-by-block basis, as in the case of a non-equilibrium
situation (option 2). Saturations can either be read as constant values for the entire Grid (option 1)
or the entire SO and Sw distributions are read on a block-by-block basis, and the program
calculates the Sg distribution for each block as SG = 1.0- So-S w (option 2).

-,e I: Use this line to identify next set of data.

34
READ: Header (40A2)
Example: OPTION 1: INITIAL PRESSURE & SATURATION BASED ON EQUILIBRIUM
CONDITIONS.
Line 2: Use this line to enter the codes for pressure and saturation initialization.
_: KPI, KSI
KPI = Code for controlling pressure initialization (see table 5-3)
KSI = Code for controlling saturation initialization (see table 5-3)
Example: 0 0

Line 3: Use this line to enter the equilibrium pressure initialization data.
Skip this line if KPI = 1 or 2.
If KIP = 0 then
READ: PWOC, I-'GOC, WOC, GOC
PWOC = Pressure at the water-oil contact, psia
PGOC = Pressure at the gas-oil contact, psia
WOC = Depth to the water/oil contact, in feet below datum
GOC = Depth to the gas/oil contact, in feet below datum ",

TABLE 5-3. - Options for initializing pressure and saturation

Code Value Pressure and saturation specifications

KPI 0 Use equilibrium pressure initialization. Input pressures at the oil/water contact
and gas/oil contact and elevations to each contact.

KPI 1 Use non-equilibrium pressure initialization. Read pressures for each grid
block on a block-by-block basis.
NOTE: II x JJ x KK values must be read.

KPI 2 Use non-equilibrium pressure initialization. Read pressures for each layer.

KSI 0 Initial oil, water and gas saturations are constant over the entire model grid.
NOTE: Read three values- SOI, SWI and SGI.

KSI 1 Read oil and water saturations for each grid block on a block-by-block basis.
The gas saturations for each grid block will be calculated by the program.
NOTE: II x JJ x KK values must be read for oil saturation; II x JJ x KK
values must be read for water saturation.

KSI 2 Read oil and water saturation for each layer.

35
Example: 4806.6 0.0 8425.0 8300.0
Note: (a) Input this record only if KPI = 0
(b) PWOC and PGOC are used together with depth to calculate the initial oil phase pressure
at each grid-block mid point.
Line 4: Use this line to enter the non equilibrium pressure initialization data.
Skip this line if KPI = 0.
(a) ifKPI = 1, then
,READ: P
P = Pressure for the entire grid, Psia
Note: (1) A value of'P' must be read for each grid block in the model grid. Read a total of II x
JJ x KK values. The order of input must be as indicated below with layer order K =
1,2 ...... KK
J= 1 I= 1,2,....II
J=2 I= 1,2,....II
,.,,..,,,,.,.,,.,,., .,..,,,

J = JJ I = 1,2,.... II
(2) Input this record only if KPI = 1
a) IfKPI = 1, then
READ: P

P = Initial pressure to be assigned to a layer in the model, Psia


Example: 4800. 4810. 4820.
Note: (1) A value, of'P' must be read for each layer in the model grid. Read a total of KK values
in one row following the order of K = 1,2,. .... KK
(2) Input this record only if KPI = 1 or 2

Line 5" Use this line to initialize the saturation data for a constant saturation case.
If KSI=0, then see (a) below. If KSI = 1, then see (b) below. If KSI = 2, then see (c)
below.

(a) If KSI = 0, then


READ: SOI, SWI, SGI
SOI= Initial oil saturation to be assigned to ali grid blocks in the model
SWI = Initial water sattmttion to be assigned to ali end-
" blocks in the model
SGI = Initial gas saturation to be assigned to ali grid blocks in the model
Ex:_mple" 0.8 0.2 0.0
N_te: (1) Input ali saturation values as a fraction.

36
(b) In a non-equilibrium case when KSI = 1, then
READ: SO, SW
SO - Initial oil saturation array
SW = Initial water saturation array
Note: (l) A value of SO must be read for each grid block in the model grid. Re_,_ a total of II x
JJ x KK values, q_.e order of input must be as indicated below with layer order K =
1,2, . . . KK
J- 1 I= 1,2 ..... ,II
J=2 I= 1,2, .... II
oo.. o.o,...o.ee..o....oo°...

T=jj I= 1,2, .... II


(2) A value of Sw must be read for each grid block in the model grid. Read a total of II x
JJ x KK values. The order of input must be as indicated above (see note 1) with layer
orderK= 1,2,....,KK
(3) Input this record only if KSI = 1

(c) If KSI = 2, then


READ: SO
READ: SW

SO = Initial oil saturation to be assigned to a layer in the model


SW = Initial water saturation to be assigned a layer in the model
Example: 0.8 0.5 0.9
0.2 0.5 0.1
Note: (1) Input 'all saturation values as a fraction.
(2) A value of SO must be read for each layer. Read a total of KK values in one row
following the order of K = 1, 2........ KK.
(3) A value of SW must be read for each layer. Ecad a total of KK values in one row
following the order of K = 1, 2....... , KK.

5.12 Debug and Diagnostics Code_

Several codes for controlling diagnostics output for use in program debugging are
provided. These codes should normally be set to zero. These codes will not provide information
for debugging ,data input. Activating any of the codes will generate an extremely large volume of
output!
j ml

Line 1: Use this line to identify next set of data.


READ: Header (40A2)
Example: KSN1 KSM1 KCO1 KTR KCOF

Line 2: Use this line to input diagnostics codes.


READ: KSN1, KSM1, KCO1, KTR, KCOF
KSN 1 = LSOR parameter debug output control (see table 5-4)
KSM1 = Solution matrix debug output control (see table 5-4)
KCO1 = Compressibility and formation volume factors debug output control (see
table 5-4)
KTR = Transmissibility debug output control (see table 5-4)
KCOF = Density and saturation debug output control (see table 5-4)
Example: 0 0 0 0 0
In the above example, ali diagnostics codes are set equal to 0. This means no
diagnostic output is to be printed.

TABLE 5-4. - Options for controlling diagnostics output

Code Value Diagnostics ,s.pecifications

KSN 1 0 No LSOR diagnostics output will be printed.

KSNn n The number of LSOR iterations required to convergence is printed at each nth
time-step.

KSM1 0 No solution matrix will be printed.

KSMn n The solution matrix will be printed the first time-step and every nth step
thereafter.

KCO1 0 No cornpressibilities and formation volume factors will be printed.

KCOn n Oil, water and gas compressibilities and formation volume factors will be
printed the first time and every nth step thereafter.

KTR 0 No transmissibilities will be printed.

1 Transmissibilities will be printed at the beginning of each simulation run and


whenever transmissibilities are modified.

KCOF 0 No saturations, gravity tem-_sand source terms are printed.


1 Saturations, gravity terms etc. are printed in the main program each time
step. Also component mobilities, grid block flow coefficients, formation
volume factors and gravity, terms areprinted at each time step. ....

38
5.13 Run Control Parameters

Line 1" Use this line to identify next set of data.


READ: Header (40A2)
Example: NMAX FACT1 FACT2 TMAX WORMAX GORMAX PAMIN PAMAX

Line 2: Use this line to enter run time control parameters.


.READ: NMAX, FACT1, FAC-q2, TMAX, WORMAX, GORMAX, PAMIN, PAMAX
NMAX = Maximum number of time steps allowed before run is terminated
FACT1 = Factor for increasing time step size under automatic time step control; set
FACT1 = 1.0 for fixed time step size
FACT2 = Factor for decreasing time step size under automatic time step control;
set FACT2 = 1.0 for fixed time step size
TMAX = Maximum simulation run time, days (run will be terminated when time
exceeds TMAX)
WORMAX = Limiting maximum field water-oil ratio, in STB/STB; simulation will be
terminated if total producing WOR exceeds WORMAX
GORMAX = Limiting maximum field gas-oil ratio, in SCF/STB; simulation will be
terminated if total producing GOR exceeds GORMAX
PAMIN = Limiting minimum field average pressure, psia; simulation will be
terminated if average reservoir pressure falls below PAMIN
PAMAX = Limiting maximum field average pressure, psia; simulation will be
term!nated if average reservoir pressure exceeds PAMAX
Example: 500 1.2 0.5 365.0 20.0 500000.0 14.7 10000
The above example specifies automatic time step control and the simulation is to be terminated if:
(a) simulation time steps exceed 500 or
(b) simulation run time exceeds 1 year (365 days) or
(c) total producing water-oil ratio exceeds 20 STB/STB or
(d) total producing gas-oil ratio exceeds 500,000 SCF/STB or
(e) average reservoir pressure falls below 14.7 psia or
(f) average reservoir pressure exceeds 10,000 psia.
Note: (1) Time-step size cannot be less than DTMIN nor greater than DTMAX as specified in the
recurrent data section
(2) For fixed time-step size, specify FACT1 = 1.0 and FACT2 = 1.0 and/or specify
DTMIN -- DTMAX = DT in the recurrent data section

39
(3) For automatic time-step control, set FACT1 > 1.0 and FACT2 < 1.0; suggested values
are FACT1 = 1.25 and FACT2 = 0.5
(4) Automatic time-step control means the following:
(a) If at the beginning of a time-step, the maximum grid-block pressure and saturation
changes from the previous step are less than DPMAX and DSMAX, respectively
(DPMAX and DSMAX are defined in Section 5.14), the size of the current time-
step will be increased by FACT1
(b) If at the beginning of a time-step, the maximum grid-block pressure or saturation
change from the previous step is greater than DPMAX or DSMAX, respectively,
the size of the current time-step will be decreased by FACT2
(c) If at the end of one iteration (after new pressures and saturations are calculated),
the maximum pressure change exceeds DPMAX or the maximum saturation
change exceeds DSMAX, and FACT2 < 1.0, the size of the current time-step will
be decreased by FACT2 and the iteration will be repeated.

5.14 Solution Method Con|ro1 Parameters

Line 1" Use this line to identify next set of data.


READ: Header (40A2)
Example: MITR OMEGA TOL TOLl DSMAX DPMAX
Line 2: Use this line to specify various parameters for controlling LSOR solution method.
READ: MITR, OMEGA, TOL, TOLl, DSMAX, DPMAX
MITR = Maximum number of LSOR iterations for convergence; a typical value is
100

OMEGA = Initial LSOR acceleration parameter. The initial value for OMEGA must
be in the range 1.0 < OMEGA < 2.0. A typical initial value for OMEGA
is 1.20. The model will attempt to optimize OMEGA as the solution
proceeds if TOL is greater than zero
TOL = Maximum acceptable pressure change for LSOR convergence; a typical
value is 0.1 psi
TOLl = Parameter for determining when to change (i.e. optimize) OMEGA; a
typical value is 0.0005. If TOLl = 0.0 the initial value of OMEGA will
be used for the entire simulation

DSMAX = Maximum saturation change (fraction) permitted over a time-step. The


time-step size will be reduced by FACT2 if FACT2 < 1.0 and the

4O
saturation change of any phase in any grid-block exceeds DSMAX and the
current step-size is greater than DTMIN. If the resulting step-size is less
than DTMIN, the time-step will be repeated with the step-size DTMIN. A
typical value of DSMAX is 0.05
DPMAX = Maximum pressure change (psi) permitted over a time-step. The time-step
size will be reduced by FACT2 if FACT2 < 1.0 and the pressure change
in any grid-block exceeds DPMAX and the current step-size is greater
than DTMIN. If the resulting step-size is less than DTMIN, the time-step
will be repeated with step-size DTMIN. A typical value of DPMAX is 50
psi.
Example: 100 1.70 0.1 0.0 0.05 50.0

VI. RECURRENT DATA

6.1 Introduction

During the course of a simulation run, it is generally desirable to be able to (1) add or delete
injection/production wells, (2) control injection/production rates or bottomhole pressures at all
existing wells, and (3) specify the types and frequency of output information. These types of
controls and output specifications are accomplished in this model via "recurrent data" records.
That is, as the simulation pruceeds, well specification and print control information is input at
preselected times.

Recurrent data record pairs are input which control printed output and time-step size for a
specified time period. The first parameter (IWLCNG) on the first recurrent data record specifies
whether or not to read well information. If IWLCNG = 0, well information is not read. If
IWLCNG = 1, well information is read immediately following the recurrent data record pair. In
any case, the simulator advances through time-steps until the specified elapsed time (ICttANG
times DT) has occurred. During this period, ali print codes and the latest well information applies.
At the end of this period, a new set of recurrent data records are read and the process is repeated.

Modification of the recurrent data records occasionally needs to be done under the restart
option. This is because ali of the recurrent data is written to the restart file. If a waterflood is
begun under restart conditions after any given period of primary production during a phase 1 run,
and then restarted and continued in a phase 2 period, the recurrent data records for the primary
recovery must first be removed.

4!
Line 1" Use this line to signify the start of the recurrent data.
READ: Header (40A2)
Example: RECURRENT DATA RECORDS
Note: This line is read only once.

6.2 Time-Stev and Output - Control Codes

Note: (a) Recurrent data record pairs are read at preselected times
(b) A recurrent data record 'pair' consists of one integer control record and one time-step
size specification record

(c) Lines 1 and 2 below constitute a recurrent data record pair. These records may be read
any number of times during a simulation run
(d) Well information records (section 6.3) must be read immediately following each pair of
recurrent data records if and only if IWLCNG = 1
(e) If well information is read, ali specified rates and pressures will be used this time-step
and all subsequent time-steps until new well information is read

Line 1: This line is used to input time-step and output control codes.
READ: IWLCNG, ICHANG, IWLREP, ISUMRY, IPMAP, ISOMAP, ISWMAP, ISGMAP, IPBMAP
IWLCNG = Code to tell the prog-ram whether or not the well information lines should
be read this time-step. If IWLCNG = 0, well information is not read this
step. If IWLCNG = 1, well information is read this step
ICHANG = A number for calculating the time period "ITIME" (see note 2 below) for
which this recurrent data record pair will apply
IWLREP = Output code for printing well report
ISUMRY = Output code for pnnting summary report
IPMAP = Output code for printing pressure distribution
ISOMAP = Output code for printing oil saturation distribution
ISWMAP = Output code for pnnting water saturation distribution
ISGMAP = Output code for printing gas saturation distribution
IPBMAP = Output code for pnnting bubble-point pressures (normally set IPBMAP =
0)
Example:l 1 1 1 0 0 0 0 0
The above example specifies that:
(a) Well information is read at this step;
(b) 1 is to be used as the number for calculating the time period for which this recurrent
data will apply;

42
(c) well report and summary reports are to be printed at this step; and
(d) no pressure or saturation maps are to be printed at this step.
Note: (1) If IWLCNG - 1, well information lines must be read. The new well information will
apply during the next time-step.
(2) If 'ETl' is the time at the beginning of the current step, then this recurrent data record
pair will apply from ETI until FTMAX = ETl + ITIME where ITIME = ICHANG times
DT. DT is the initial time-step size for this period as read in line 2 below.
(3) The actual number of time-steps for which ICHANG is used will likely be different
from ICHANG if automatic time-step control is 'on.' Whenever the calculated
simulation time exceeds 'FTMAX,' the current step-size is reduced to give an elapsed
time of exactly FTMAX. Whenever FTMAX is reached, another recurrent data record
pair is read.
(4) If the output code value = 0, the information will not be printed.
(5) If the output code value = 1, the information will be printed for each time-step during
this period from ETl days to ETl + ITIME days.

Line 2: This line is used to input time-step control information.


READ: DT, DTMIN, DTMAX, HR, MIN, SEC
DT = Initial time-step size (days) for this period
DTMIN - Minimum time-step size (days) for this period
DTMAX = Maximum time-step size (days) for this period
Example: 3.0 3.0 3.0 0. 0. 0.
In the above example DT - DTMIN - DTMAX = 3.0, so the automatic time step control is
overridden.
Note: (a) The time period referred to is the time for which this recurrent data pair will be used.
This period is from the current simulation time (ETl) to an elapsed time of ETl +
ITIME, where ITIME - ICHANG times DT.
(b) Common (suggested) values for DTMIN and DTMAX are 0.1 and 30.0 days,
respectively.
(c) Automatic time-step control can be overridden by specifying DTMIN - DTMAX - DT.
(d) If automatic time-step control is not specified (i.e. FACT1 = FACT2 = 1.0) it is
convenient to specify DTMIN = 0.0 and DTMAX = DT.
REMARK: [,ines 1 and 2 above constitute a "recurrent data record pair". If IWLCNG = 1,
well data as descri_bed in the next section must be read. IF IWLCNG = 0, well data is
not read. Recurrent data records should be input until the cumulative time as given by
the summation of ICHANG times DT for each pair exceeds the maximum desired
simulation time (TMAX). The simulation will terminate if EOF (end of file) is
encountered due to no more recurrent data.

43
6.3 Well Information Records

Line 1" Use this line to describe well activities.


READ: Header (40A2)
Example: NUMBER OF WELLS
Line 2: Total number of vertical/horizontal/slanted wells for which well information is to be
read

READ: NVQN, NVQNH, NVQNS


NVQN = Number of vertical wells
NVQNH = Number of horizontal wells
NVQNS = Number of slanted wells
Example: 1 1 1; specifies 1 vertical well, 1 horizontal well, and 1 slanted well
Note: (1) Must repeat lines 3, 4, 5 a total of NVQN times; must repeat lines 6, 7, 8 a total of
NVQNH times; and must repeat lines 9, 10, 11, 12 a total of NVQNS times
k2) Wells may be added or recompleted at any time during the simulation. However, once
a well has been specified, it must be included in each time-step that well information is
read, even if the well is currently shut-in.

Line 3: Vertical well ID (Omit this line if NVQN = 0)


READ: WELLID - Five character well name
Example: VERT1; this indicates the vertical well name is VERT1

Line 4: Vertical Well Information (Omit this line if NVQN = 0)


READ: I, J, PERFI, NLAYER, KIP, QO, QW, QG, QT
I = X-coordinate of grid-block containing this well
J = Y-coordinate of grid-block containing this well
PERFI = Layer number of the uppermost layer completed.
NLAYER = Total number of consecutive completion layers, starting with and including
PERFI.

KIP = Code for specifying both well type and whether the well's
production (injection) performance is determined by specifying rates or
specifying flowing bottomhole pressure and also _,hether an explicit or
implicit pressure calculation is to be made. For most cases, the implicit
pressure calculation is recommended. See Table 6-1 for the code details.
For more information on KIP see the notes at the end of this section.
QO = Oil rate, STB/D (nonzero only if KIP = 1 and QT = 0.0)

44
QW = Water rate, STB/D (nonzero only if KIP = 2)
QG = Gas rate, MCF/D (nonzero only if KIP = 3)
QT = Total fluid rate (nonzero only if KIP = 1 and QO = 0.0)
Example: 10 1 1 1 1 600. 0. 0. 0.
The above example specifies that the well PROD 1 is located in the grid block (10,1,1);
completed in one layer and produces oil at the rate of 600 STB/D.
Note: (1) Table 6-1 summarizes ali well control options
(2) NLAYER must include ali layers from PERFI to the lower most layer completed. For
example, in a 5-layer model, if a well is completed in layers 2, 3, & 5, set PERFI = 2
and NLAYER = 4. Note that in this, layer 4 must be included in NLAYER even
though layer 4 is not perforated. Layer 4 may be shut in by specifying the PID value
for layer 4 as zero in line 4 below.
(3) Exactly NLAYER lines must be read for each WELLID (even if the well is rate
controlled). Each of these lines specify a layer flow index (PID) and flowing
bottomhole pressure (FBHP) for one completion layer; thus, NLAYER of these lines
must be read. The first line read applies to the uppermost completion layer (PERFI);
additional lines apply to succeeding layers. If rates are specified for this well (KIP =
+1, +2, or +3), PWF will not be used and should be read as zero; however, PID will
be used to calculate a FBHP for the weil. This FBHP will be printed out on the well
report, but it will not be used in any way to control the well performance.
(4) Negative rates indicate fluid injection; positive values indicate fluid production.
(5) The total fluid rate given by QT is the oil plus water plus gas production for the well or
the total reservoir voidage at stock tank conditions.
(6) Only one of the four values (QO, QW, QG, or QT) may be nonzero. If KIP < 0, ali
four values should be zero.
(7) For most applications, implicit pressure calculations are recommended.
(8) If KIP = 2, -2 or -12, only water will be produced or injected; if KIP = 3, -3, or -13.
only gas will be produced or injected; solution gas is not considered; therefore, these
options are only recommended for water or g,s injection wells. If KIP = 1, -1, or -11,
oil, water, and gas will be produced in proportion to fluid mobilities and pressure
constraints.

(9) If KIP > 0, the specified rate will be allocated to layers based on total layer mobilities;
e.g. if QW is specified and there are two layers QW1 = QW * TM1/(TM1 + TM2) and
QW2 = QW * TM2/(TM1 + TM2), where TM1 = total mobility for layer 1 and TM2 -
total mobility for layer 2.

45
TABLE 6-1. - Options for controlling well performance

Code VaJue Rate or pressure specifications

KIP 1 Production (oil) well; specify rate, QO or QT

KIP 2 Water well; specify injection rate, QW

KIP 3 Gas well; specify injection rate, QG

KIP -1 Oil well; oil, water & gas production rates will be calculated based on fluid
mobilities and PID and PWF for each layer. Well will be shut-in if block
pressure <PWF. Explicit pressure calculations are used.

KIP -2 Water well; Water injection rate will be calculated based on total mobility of
oil, water, and gas and PID and PWF for each layer. Well will be shut-in if
block pressure >PWF. Explicit pressure calculations are used.

KIP -3 Gas weil; Gas injection rate will be calculated based on total mobility of oil,
water, and gas and PID and PWF for each layer. Well will be shut-in if
block pressure >PWF. Explicit pressure calculations are used.

KIP -11 Oil well; Oil, water, and gas rates will be calculated based on fluid
mobilities and PID and PWF for each layer. Implicit pressure calculations
are used.

KIP -12 Water well; Water injection rate will be calculated based on water mobility
and PID and PWF for each layer. Implicit pressure calculations are used.

KIP -13 Gas well; Gas injection rate will be calculated based on gas mobility and
PID and PWF for each layer. Implicit pressure calculations are used.

Line 5: Use this line to enter flowing bottomhole pressure and productivity index information
for vertical well.
READ: PID, PWF
PID = Layer productivity index
PWF = Layer flowing bottomhole pressure, psia
Example: 10.0 2500.0

Note: (1) If rates are specified (i.e. KIP > 0) for this weil, PWF is not required and should be
specified zero.

(2) If rates are specified (i.e. KIP > 0) for this well and PID is specified nonzero, the
specified rate and PID will be used to calculate and print a flowing bottomhole
pressure. However, the calculated pressure will not be used to control well
performance.

40
(3) Once a well has been specified in any layer, that well and that layer must be specified
each time well information lines are read.
(4) To shut in a layer, set the layer PID = 0.0; to shut in a weil, simply set ali its layer
PID's = 0.0.
(5) The layer PID may be calculated from the following equation:

PID = [ 0.00708 kh /
]ln (re/rw) + S /
where -
re = equivalent grid-block radius, ft
rw = wellbore radius, ft
h = Z-dimension (layer thickness) of the block, ft
k = mean X-Y permeability in md
S = layer skin factor
The radius re may be calculated from Peaceman's formula:

r e = 0.28 _ky]

where:
Kx = permeability in x-direction
Ky = permeability in y-direction
dx = X-direction grid-block dimension, ft
dy = Y-direction grid-block dimension, ft
(6) Formation damage or stimulation at any point in time can be handled on a layer-by-layer
basis by changing the layer PID.
(7) Line 5 must be read NLAYER times
Example This illustrates the well information for well 2, INJ1
1 1 1 1 2 0-900.0 0.0 0.0
10.0 7500.0

The above example specifies that well number 2 is an injection well (INJ 1), is located
in the grid block (1,1,1), completed in one layer; the well is a water injection well
(KIP=2) and the injection rate is 9(X) STB/D. The layer productivity index tor this well
is 10.0 and the flowing bottomhole pressure 7500 psia will not be used in calculations.

47
Line 6: Horizontal Well ID (Omit this line if NVQNH = 0)
READ: WELID = Five character horizontal well name
Example: HORZ1

Line 7: Horizontal Well Information (Omit this line if NVQNH = 0)


READ: LAYER, KIP, QVO, QVW, QVG, QVT, COND
LAYER = Total number of consecutive well bore blocks
KIP, QVO, QVW, QVG, QVT = same definitions as KIP, QO, QW, QG and QT in
line 4, respectively
COND = code for specifying type of wellbore conductivity in well rate calculations
When COND = 1, infinite conductivity is used
When COND = 2, "unifoml flux" is chosen
Example: 5 - 1 0 0 0 0 1; specifies ali 3 horizontal wellbore block will be produced under
infinite conductivity and explicit pressure constraint
Line 8: Horizontal Well Information (Omit this line if NVQNH = 0) LAYER lines must be
read for each wellbore block of WELID
READ: IQH1, IQH2, IQH3, PID, PWF
IQH1 = X - coordinate of grid block containing this well
IQH2 = Y - coordinate of grid block containing this well
IQH3 = Z - coordinate of grid block containing this well
PID = grid block productivity index, Peaceman's formula in line 5 is suggested
except that kx (or ky) is replaced by kz when the horizontal wellbore is
parallel to the y (or x) axis.
PWF = grid block flowing bottomhole pressure
Example: 3 5 1 4.5 500
4 5 1 4.5 500
5 5 1 4.5 500 specifies horizontal wellbore block at (3, 5, 1), (4, 5, 1), and (5, 5, 1)
Line 9: Slanted Well lD (Omit this line if NVQNS = 0)
READ: WELID = Five character slanted well name
Example: SLAN 1

Line 10: Slanted Well Information (Omit this line if NVQNS = 0)


READ: IFLAG, KIP, QVO, QVW, QVG, QVT, COND
IFLAG = Code for specifying ways to define the geometric location of slanted well in
reservoir grid blocks. Two options are defined in line 11.
KIP, QVO, QVW, QVG, QVT, COND - See definitions in line 7

48
Example: 1 -11 0 0 0 0 1; slanted wellbore, produced under infinite conductivity and implicit
pressure condition, will be defined by option 1

Line 11' Slanted Well Information (Omit this line if NVQNS = 0)


(a) If IFLAG in line 10 is 1, then enter
IS, JS, KS, WELENGTH, THETA, ALPHA, IS 1, IS2, IS3
where
IS = X - coordinate of starting grid block for defining this well
JS = Y - coordinate of starting grid block for defining this well
KS = Z - coordinate of starting grid block for defining this well
WELENGTH = Total wellbore length in feet of this well
THETA = Slant angle in degree which wellbore deviated from the downward
direction as shown in figure 3, i.e. vertical well downward has a
THETA of 0 (0 < THETA < 180)

ALPHA = Area angle in degree which wellbore departed from the increasing
direction of x-axis from the plan view as shown in figure 4 (0 <
ALPHA _<360)

IS 1 = X - coordinate of starting grid block of the producing wellbore, i.e.,


wellbore grid blocks of x - coordinate from IS to IS 1-1 are not
productive.

i il ii ! i i i i i i

i i i i i THETA i _ i i !
! i i"4.-- i
4 i 0<THETA<180 ° i i i
THETA= 0° FORVERTICALWELL :
NZ THETA= 90° FORHORIZONTALWELL - :

,_ 2 4 X 6 8 NX

FIGURE 3.- Side view of grid to show angle theta.

49
..................
_...............
..................
,............
SLANTEDWELL...............
...............................
..................

Y
iiiiiiiiiiiiiiiiiiii
I
°..................
i..............................
i................
"''_"'u'°°'_.,,,-._,,,,,°,..,,....Io...,..-°°. ° ° .°-, ° °o ......o °...° "--°° °°..- °. °. °°°.-°o o°- °°....°°_.....°° °°..,°. o°°... H..°°.. _ o..°H.H°..°°_OOO°°H°°°°°.°.O_,'.._

Ny i i i
- : { -"
" i
..................
.* ...............
•................
:................
°............
0 <_ALPHA_<360°............
i.................
".................
.........
_' ........
5'......3'4 _ 6 7 8 9 Nx --_
X
FIGURE 4. - Top view of grid to show angle alpha.

JSI = Y - coordinate of starting grid block of the producing wellbore.


Wellbore grid blocks of Y - coordinate from JS to JSI-1 are not
productive.
JS1 = Z - coordinate of starting grid block of the producing wellbore.
Wellbore grid blocks of Z - coordinate from KS to KSI-1 are not
productive.
Example: 1 1 1 1000 60 315 1 1 1; indicates a slanted wellbore starting from (1, 1, 1) is
1000 ft long and 60 degrees from the downward direction and 315 degrees from the X-
axis. This slanted well has productive wellbore block starting from (1, 1, 1).
(b) If IFLAG in line 10 is 2, then
READ: IS, JS, KS, lE, JE, KE, IS 1, JS 1, KS1
where

lE = X - coordinate of ending grid block of this well


JE = Y - coordinate of ending grid block of this well
.lE = Z - coordinate of ending grid block of this well
IS, JS, KS, IS 1, JS 1, KS 1 are defined same as those in option (a) when IFLAG = 1.
Example: 3 1 1 8 1 5 5 1 2; indicates a slanted wellbore starting from (3, 1, 1) ,and ending at
(8, 1, 5). The productive wellbore block starts from (5, 1, 2) as shown in figure 5.

5O
1 2 3 4 5 6 7 8 9 10 11 X
! ! I I !
' i : j I "-
.Z :" ."
.= =.

=-

2 : i
i "

3 :- PERFORATL-D
": " WELLBORE

4 ":. E

5
i_ i: _
,o

Z
FIGURE, 5.- Side view to show a slantcd wellbore position in x-z axis.

Line 12: Slanted Well Information (Omit this line if NVQNS = 0)


READ: RW, S, PWF, JFLAG
where
RW = wellbore radius, ft
S = wellbore skin factor
PWF = grid block flowing bottom hole pressure
JFLAG = code for specifying ways to initialize wellbore pressure
when JFLAG = 1, PWF will be assigned to all wellbore blocks
when JFLAG = 2, wellbore pressure will be calculated for each wellbore
block based on hydraulic gradient and PWF as wellbore pressure of
the starting wellbore block.
Example" 0.3 0 100 1; specifies the wellbore has a radius of 0.3 ft with 0 skin and a flowing
pressure of 100 psi which will be assigned to ali wellbore blocks.

VII. INTERPRETATION OF MODEL OUTPUT

7.1 Model Start Uo_

This section provides a brief description of the BOAST-VHS program output. The
program always writes the initialization data to the output file at rr,odel start up. The program also
writes the initi.l well locations and well control information to this file. In addition to providing a
complete report, this gives the user an excellent opportunity to quickly check for input data errc*s.
The information printed prior to the first summary report consists of the following items, in the
order given:
(1) Grid-block sizes;
(2) Node midpoint elevations;
(3) Porosity distribution;
(4) Permeability distribution;
(5) Relative permeability and capillary pressure table;
(6) Oil-water-gas PVT table,
(7) Slopes calculated from PVT data for use in determining fluid compressibilities;
(8) Solution method parameters and time-step control data;
(9) Initial well locations and well control information;
(10) Initial fluids in place by layer; and
(1 1) Initial pressure and saturation distributions.

Other o:_tput can be obtained at the user's command. For example, whenever a
modification op'::ionis activated, the user may print out the altered array, lt is worthwhile to do this
as a check on tie input modifications.

7.2 Recurrent Data:


Using the output codes, the user can print out the following information during the course
of a simulation run:
1. Well report;
2. Summary report;
3. Pressure and saturation distribution arrays; and
4. Bubble-point pressure distributions.

7.2.1 Well Report:


A well report may be specified at any time during the simulation run. Each time a well
report is specified, production and injection rates and cumulatives for each layer of each well are
tabulated and summarized. For oil producers, oil, water, and gas production is printed on the well
report.

7.2.2 Summary Report:

The summa_ report is the single most useful report and can also be obtained at any desired
time. The summary report contains a concise summary of field injection and production
_'erformance information including (a) average reservoir pressure, (b) total reservoir oil, water, and

52
gas production rates and cumulative production, (c) total reservoir water, and gas injection rates
and cumulative injection, (d) total reservoir current and cumulative water-oil, and gas-oil ratios, (e)
time-step and material balances for oil, water, and gas, (f) and maximum pressure, and saturation
changes for the current time-step, and where these changes are occurring in the reservoir model.

The summary report serves two major purposes by permitting the user to (1) quickly
review total reservoir performance and (2) determine if the model is functioning properly. As a
general rule, maximum saturation changes nearly always should be less than 10%, and time-step
material balance errors should normally be less than 0.1%.

Material balances or saturation changes that are excessive do not necessarily mean that the
model cannot handle the problem at hand. However, it does mean that adjustments are needed to
some of the input parameters. Normally, the first adjustment is reduction of time-step size. If this
modification does not completely solve the problem, reduce injection and/or production rates to
determine if well controls are excessive based on existing flow capacity and reservoir pressure. By
making full use of automatic time-step control and being careful not to over-pressure or
overproduce the rese"voir, most reservoir engineering problems can be successfully simulated with
BOAST-VHS.

7.2.3 Distribution Arrays:

The user may output pressure, saturation, and bubble-point pressure arrays at any time-step
desired. For large two-dimensional or three-dimensional problems, an enormous output file can
result if ali these a_ays are frequently printed. Therefore, these distributions should only be
printed when absolutely needed. Normally, the bubble-point pressure array need not ever be
printed out. This array provides mainly diagnostic information.

The pressure and saturation arrays should always be checked carefully at discrete times
during the simulation to assure that overall pressure and saturation trends are as they should be.
Also, if a material balance problem exists, these maps may help to isolate the problem.

53
VIII. SIMULATION PLANNING

8.1 Introduction

This section briefly outlines the major steps involved in conducting a reservoir simulation
study. It must be emphasized at the outset that a reservoir simulator is an engineering tool and, as
such, a great deal of engineering judgement is involved in its proper use. Reservoir simulators do
not provide answers; they provide estimates of performance for user defined reservoir and
vertical/horizontal/slanted well models. These performance estimates, together with economic
evaluations, can then be used to make the required operating or field development decisions.

Because of the complexity and the volume of data needed for a simulation, it is almost
always wise to begin a simulation study using the simplest model and coarsest reservoir
description. If the results of the simulation run are no', adequate, further runs should be made
using a finely gridded model. The rule is to keep the simulation simple. The accuracy of the
simulation depends upon the input and not upon the sophistication of the model.

The major steps in the conduct of a simulation study are:


1. Input data gathering
2. History matching
3. Performance prediction

8.2 lnout Dat_t G_l|heri.ng


The initial phase of every simulation study is the gathering of data to be used in the simulator.
Values for the physical quantities must be specified before a simulation can begin. The particular
data needed will depend on the nature and complexity of the study. The required data can be
classified into three groups: reservoir rock properties, fluid properties, and field performance
history. Ascertaining the reliability of the available data and information is vital for the success of
modeling a reservoir. Also, conventional reservoir engineeiing analysis of the past and prevailing
producing mechanisms will greatly aid in the selection of the proper model to simulate reservoir
performance. A list of minimum data required for a reservoir simulation study is presented in table
8-1. The infon'nation needed to conduct a simulation study can be divided into four parts:

54
TABLE 8-1. - Minimum required information for a reservoir simulation study

A. Single Point Data


These data include the following:
- Number of layers, dimension of the grid
- The starting data (initial production data)
- Original reservoir pressure
- Rock compressibility

B. 1Em0iriqal D_Ita
Relative permeabilities, capillary pressure, and PVT data are required for a simulation; if we
do not have these data they can be generated.

The following information is needed for the generation of relative permeability curves.
- Connate water saturation
- Residual oil saturation in water-oil system
- Residual oil saturation in gas-oil system
- Critical gas saturation

The following information is needed for the generation of PVT data.


- Reservoir temperature
- Gas and oil gravity
- Bubble-point pressure
- Water density, compressibility and viscosity at reservoir condition. Capillary pressure
is determined from laboratory data.

C. Grid D_ata

The required data include the elevation, thickness, permeability, and porosity distributions for
a reservoir. These data are compiled from:
Structure map
Gross and net sand isopach maps
- Isopermeability map
Isoporosity map

If these contour maps are not available, they can be constructed from well data (such as drill-
stem tests, log data, drilling records, etc.)
D. Production Data

The production data include the following:


- Location and perforation intervals of wells
- Oil, water, and gas production rates for each well as a function of time
- Pressure history

1. Single point data (general information for field)


2. Empirical data (rock and PVT data)
3. Grid data (data for each grid block)
4. Production data

55
The source of common reservoir data required for a simulation study are given in table 8-2.

In many cases, the only rock property data available are those obtained near well sites. The
following procedures, along with well site rock property data and reservoir geology, are then used
to infer reservoir rock data.
a. Collect ali available rock property data; namely, permeability, porosity, formation
thickness and formation elevation. Plot these data by well location on a plan map of the
region or field being modeled.
b. Contour the data points to obtain an overall distribution within the reservoir limits. In
evaluating and contouring these rock parameters, the engineer must use good
engineering judgement and the known geological interpretation of the region.
c. In a simulation study, the reservoir is divided into several cells by superimposing a
rectangular grid over the region. Within any given cell, the rock data are assumed to be
uniform. The contoured data are then digitized to obtain the required value at each cell.
The digitizing step is performed after the grid has been selected.

TABLE 8-2. - Sources of Common Reservoir Data Required for Simulation Studies

Property Sources

Permeability Pressure transient testing, core analyses,


correlations

Porosity Core analyses, well log data

Relative permeability Laboratory core flow tests, correlations

Capillary pressures Laboratory measurements

Saturations Well log data, conventional core analyses, pressured


core analyses, single well tracer tests

PVT data Laboratory analyses of reservoir fluid samples


(Formation volume (subsurface or recombined surface samples), correlations
factors, gas solubility,
viscosity, density)

56
Reservoir fluid properties (PVT data) include initial bubble point pressure, fluid viscosities,
densities, formation volume factors, solution gas-oil ratio, solution gas-water ratio, etc. These
data are usually obtained from laboratory measurement of samples of the reservoir fluid. Usually
the PVT data are not known over the entire range of pressures and correlations are used to extend
the laboratory data to the desired range.

The rock and PVT data, together with the relative permeability and capillary pressure data,
constitute the initialization data for the model. Other initialization data include the reservoir model
grid dimensions and geometry, and the initial pressure and saturation distribution within the
reservoir. This information is read only once at the beginning of the simulation.

The remaining data that must be input are called the recurrent data. These data are read
repeatedly during the course of the simulation run. The recurrent data include the location and
specification of wells in the model, changes in well completions and field operations over time, a
schedule of well rate and/or pressure performance over time, etc. The simulator calculates
production and pressure performance based on the input data provided.

Since the accuracy of the simulation results depend upon the quality of input data,
ascertaining the reliability of the available data and information is vital for the success of modeling
a reservoir. Simulation models are often used to do sensitivity analyses on selected parameters.
By varying each of several selected parameters over a reasonable range of uncertainty and
observing the effect on simulator perfom_ance, the critical parameters controlling the performance
can be identified. Further efforts should then be expended in improving the quality of these critical
parameters.

8.3 History Matching

The objective of history matching is to reproduce, with the simulator, the past reservoir
performance. This is achieved by adjusting the reservoir parameters of a model, until the simulated
performance matches the observed behavior. Thus, history matching is the process of determining
the values of poorly known or unknown physical parameters which are needed as input to the
mathematical reservoir model.

Since history matching is a qualitative procedure, the reliability of a history match depends,
in large part, on the knowledge and experience of the engineer performing the simulation. The
engineer must identify the reservoir parameters which should be adjusted, and then determine the
degree to which adjustments should be made. Some reservoir data are known with a greater
degree of accuracy than others, lt is usually assumed, for example, that the fluid properties a_e

57
valid, provided careful laboratory measurements were made. On the other hand, reservoir
formation properties, i.e., porosity, permeability, and capillary pressure, etc. are known only at
the points where the wells have pierced the formation, and even these may be subject to significant
errors. In the interwell regions, the rock properties must be inferred from geological and
petrophysical correlations. If these values are not precise or the correlation techniques
inappropriate, then the results of the simulation may be inaccurate as weil. History matching
provides a way of using the historical performance of the reservoir to adjust these values.

Normally observed reservoir behavior such as pressure, production rates, water-oil ratios,
and gas-oil ratios are compared with model results. Modifications of saturations, porosities, and
permeabilities are then made to improve the match. History matching is a complicated process and
many problems encountered during a history matching process can result in inexact performance
projections. Some of the typical problems encountered are described below.

1. _Nonuniqueness of Par amet.er Sets:


Frequently, a set of reservoir parameters modified to obtain a good match is not unique.
By selecting and modifying another set of parameters, it is possible to obtain as good a
match as the accepted set; however, the two sets will not yield the same future
performance predictions.
2. Incorrect Field Data:
Lack of reliable field data is another typical problem faced by a simulation engineer. The
reported field data may be inaccurate or incomplete. Use of such data without caution
will result in a history match that may characterize the reported data, but may not
characterize the reservoir.
3. Numerical Dispersion:
Often the simulation results may not be reasonable due to what is known as numerical
dispersion. Numerical dispersion or truncation errors arise due to the approximation
employed to solve the mathematical formulations of the model. Numerical dispersion can
cause a correct set of parameters to yield incorrect results.

An engineer should be aware that these and other potential problems result in inexact
performance projections. One should carefully analyze the simulation results and draw
conclusions based on his experience with the type of reservoir, the area, and the production
systems being used in the field.

History matching should not be attempted without a systematic plan. A step-wise history
matching procedure is described below.

58
Step I- Initialization:

The first step in any history matching process is to verify the reliability and completeness of
the field data. Problems encountered in these areas must be corrected as necessary. It may be
necessary to check:
- Data errors
- Pressure distribution at the initial time, and equilibration
- Saturation distribution at the initial time
- Original oil, gas, and water in place

Step II- Pressure Match:

Experience indicates it is wiser to match pressures (reservoir and individual wells) before
attempting to match production rates. By specifying the total production rates for wells, the correct
effect of the individual well rate on reservoir pressure can be approximated. A pressure match can
be achieved by adjusting:
- Size of the aquifer
- Rock compressibility
- Permeability distribution
- Thickness and porosity effecting the original oil in place

Step III- Saturation Match:

Once the pressure match has been achieved with sufficient accuracy for all of the wells, the
engineer should then match water-oil and gas-oil ratios. These are matched by adjusting
- Vertical permeabilities
- Relative pem-_eability curves
- Water-oil and gas-oil contacts
- Thickness of water or gas zones
- Permeability

If the pressure match is disturbed, repeat step II with the new data from step III. These two steps
might have to be repeated a number of times to match both P and S.

Step IV - Productivity Index Match:

Finally, the well flowing pressures must be matched. The well flowing pressures can be
matched by modifying ttle productivity index. If there are multiple-node wells, with commingled
production, it might be necessary to make some runs with flowing well pressures.

Once these steps are taken, chances are that the reservoir simulation model will predict valid
future production perfommnce.

59
8.4 Prediction Runs

The final phase of a reservoir simulation study is the prediction runs. Prediction runs are
made (1) to predict the future performance of the reservoir under existing operating conditions; (2)
evaluate and compare a number of alternative field operations or development plans. The main
objective is to determine the optimum operating condition in order to maximize economic recovery
of hydrocarbon from the reservoir. Examples of the type of problems tackled in this stage could
be:
1. Do we need pressure maintenance for the reservoir? And, if we do need it, what kind
of pressure maintenance project is optimal?
2. What kind of infill drilling program should we choose?
3. What type of wells should we drill - vertical, horizontal, or slanted weil? Where are
these wells drilled? And, in the case of horizontal or slant wells, what are their optimal
length in the reservoir?
4. What would be the effect of installing more powerful pumps on the producing wells?

Since there are no field results against which to compare simulation results during the prediction
phase, an engineer must carefully analyze the results using experience and engineering judgment
before arriving at a decision.

IX. EXAMPLE INPUT DATA FILES AND OUTPUT

9.1 lntrod_lctign

This section provides three example problems which illustrate the capability of the model to
simulate a wide range of problems in vertical, horizontal, or slant wells. The reservoir and PVT
data used for the example problems are not intended to represent any specific reservoir or fluid
system. The input files should be considered as "sample data" and their sole purpose is to illustrate
the capabilities of the simulator. Users can consider these input data as a guide for building their
own input data files.

Complete input files and output summary tables are presented for each problem in
appendices. Complete output files also are included on the program diskettes.

9.2 Problem Des_riplion

A brief description of each example problem is given below. The input file, summary
report and partial output file for each example are in the appendices and complete files are on the
program diskette.

6O
Test Problem 1:

This example is a two-dimensional, pressure depletion production of 10 years from a


horizontal well of 1200 ft in 160 acres. This calculation provides a test of tile saturation
calculations performed by BOAST-VHS.

A two-dinmnsional grid model with NX=I 1, NY=9 and NZ=I has been constructed.
The input and two output files for test problem 1, TSTPBMI.DAT, TSTPBMI.OUT, and
TSTPBM1.SUM, respectively, are on the program diskette. Files TSTPBM1.DAT,
TSTPBM 1.SUM, and part of TSTPBM 1.OUT are presented in appendix A.

Test Problem 2:

This example is a two-dimensional homogeneous model showing waterflooding from a


vertical producer in the middle of one reservoir edge and a horizontal water injector penetrated
through the other edge of the reservoir.

A two-dimensional grid with NX=9, NY=9 and NZ=I has been constructed. Vertical and
horizontal permeabilities o!" 195 md are used. The input and two output files for test problem 2,
TSTPBM2.DAT, TSTPBM2.SUM, and TSTPBM2.OUT, respectively, are on the program
diskette. Files TSTPBM2.DAT and TSTPBM2.SUM are presented in appendix B.

Test Problem 3"

This example is a three-dimensional homogeneous reservoir model showing pressure


depletion production from a 739-ft slant weil. The r,,'servoir is 40 acres.

The rectangular reservoir model was dimensioned with NX=9, NY=9, and NZ=3. Located
in the middle of the reservoir, the slanted ,,veil penetrates the reservoir from the top to the bottom of
the formation at a sl:mt of 83 °. Both tile pressure and oil saturation show larger depletion near the
well bore with production tinge as compared to the formation away from the well bore. This test
problem demonstrates the capability of this model for simulating production from slant wells.
The input and two output files for test problem 3, TSTPBXI3.DAT, TSTPRBM3.SUM, and
TSTPBM3. OUT, respectively, are on the program diskette. Files TSTPBM3.DAT and
TSTPRBM3.SUM are presented in appendix C.

9.3 Program V_llidalion

While BOAST-VHS has been tested on a variety of problems, the program has not been
tested exhaustively in ali of its options and features against every possible combination of factors

61
and cgnditions. Complete comprehensive validation is not practical due to the complexity of the
simulator and the great time and cost involved. Consequently, we strongly recommend that results
from any simulation be examined carefully and checked for "reasonableness" before accepting
them.

The program has been checked by comparing its results with those of the Seventh SPE
Comparative Solution 4 for modeling horizontal well production in a reservoir where coning
tendency is importmit and reported in another report 5. lt was found that BOAST-VHS predicted
well performance, including oil rate, cumulative oil production, and water-oil-ratio irl the same
range as those in the project. Pressure changes and saturation changes were limited to 10 psi and
1%, respectively at each time step in the BOAST-VHS simulations.

The specific changes to the BOAST program to "allowsimulation of horizont',fl and slant wells
are detailed by Chang in two previous publications2, 6.
9.4 BOAST-VHS Diskette
The BOAST-VHS simulator and related files on the BOAST-VHS diskette are:
BOASTVHS.EXE - BOAST-VHS simulator program that uses a math coprocessor
for those computers with math coprocessor chips (Intel TM XX87 series or
equivalent).
BOSTVHSM.EXE - BOAST-VHS simulator program that has an emulator built in
for those computer's without a math coprocessor. This is designed for use on "386
machines" and is not recommended for a 286AT based machine because the
simulation run times will be long.

TSTPBM 1.DAT - The data input file for test problem 1 described in section 9.
TSTPBM2.DAT - The data input file for test problem 2 described in section 9.
TSTPBM3.DAT - The data input file for test problem 3 described in section 9.
TSTPBM1.SUM - The summary report file from test problem 1.
TSTPBM2.SUM - The summ_u'y report file from test problem 2.
TSTPBM3.SUM - The summary report file from test problem 3.
TSTPBM 1.OUT- The full simulation report file from test problem 1.
TSTPBM2.OUT - The full simulation report file from test problem 2.
TSTPBM3.OUT - The full simulation report file from test problem 3.

62
X. REFERENCES

1. Fanchi, J.R., K. J. Harpole, and S. W. Bujnowski. BOAST - A Three-Dimensional, Three-


Phase Black Oil Applied Simulation Tool. U.S. Dept. of Energy Report No. DOE/BC 10033-
3, Sept 1982.

2. Chang, M-M., L. Tomutsa, and M. K. Tham. Predicting Horizontal/Slanted Well Production


by Mathematical Modeling. Pres. at the SPE Production Operation Symposium, Oklahoma
City, OK, March 13-14, 1989. SPE 18854.

3. Fanchi, J.R., J.E. Kennedy, and D. L. Dauben. BOAST II: A Three-Dimensional, Three-
Phase Black Oil Applied Simulation Tool (Release 1.0), U.S. Dept. of Energy Report No.
DOE/BC 88/2/SP, Dec. 1987.

4. Nghiem, L., D.A. Collins, and R. Sharma. Seventh SPE Comparative Solution Project:
Modeling of Horizontal Wells in Reservoir Simulation. Presented at the 1lth SPE symposium
on Reservoir Simulation, Anahiem, CA, Feb. 17-20, 1991. SPE 21221.

5. Quarterly Technical Report for July 1 - September 30, 1991. U.S. Dept of Energy Report No.
NIPER-576, December 1991.

6. Chang, M-M. Simulation of Production from Wells with Horizontal/Slanted Laterals.U.S.


Dept. of Energy Report No. NIPER-326, March 1989.

63
XI. GLOSSARY

B - .formation volume factor

Free-field format - input format in which an item of data need not appear in a specific location in a
line.

GOC - depth at the gas/oil contact

II - the number of blocks in the x-direction on the input-value grids

IMPES - Implicit pressure/explicit saturation model used by BOASTVHS to solve finite


difference approximations to partial differential equations

JJ - The number of blocks in the y-direction on the input-value grids

KK - The number of blocks in the z-direction on the input-value grids

KR - Relative permeability

LSOR - Line-successive, over-relaxation solution technique used by BOASTVHS to solve


systems of pressure equations

Mu - viscosity
PBO - bubble-point pressure

PC - capillary pressure

PID - productivity index

PGOC - pressure at the gas/oil contact

PWOC - pressure at the water/oil contact

Q - production rate

RSO - solution gas-oil ratio

SAT - phase saturation


SO - oil saturation

WOC - depth at the water/oil contact


APPENDIX A. TEST PROBLEM 1
Input Data for Tes_. Pro01em 1
(TSTPBM1.D _,T)

HORIZONTAL WELL(1200 FT), 160 ACRES, lOmd


I0 9 1

SO SHALE RESTART DT (SWITCH)


0 0 1 7

GRID BLOCK LENTTH


0 -i -i

240.00 240.00 240.00 300.00 300.00 300.00 300.00 240.00 240.00 140.00
293.33

50.00

GRID BLOCK LENGTH MODIFICATION (NONE)


0 0 0 0

CAPROCK BASE DEPTH TO TOP OF SAND


0

3000.00

POROSITY AND PERMEABILITY DISTRIBUTIONS

-1 -I -i -I
0.25

i0.00

I0.00

i0.00

POROSITY AND PERMEABILITY MODIFICATION (NONE)


0 0 0 0 0

TRANSMISSIBILITY MODIFICATIONS (NONE)


0 0 0 0

SAT KRO KRW KRG PCOW PCGO

0 O0 0.00 0.00 0.00 904.00 904.00

0 I0 0 O0 0 00 6 00 784 00 784 O0

0 20 0 00 0 00 0 03 664 O0 664 00

0 30 0 02 0 00 0 09 544 00 544 O0

0 40 0 06 0 00 0 19 424 O0 424 O0

0 50 0 15 0 02 0 34 304 O0 304 O0

0 60 0 32 0 06 0 53 184 O0 i84 O0

0 70 0 59 0 15 0 75 64 O0 64 O0
0 80 1 O0 0 32 1 00 4 O0 4 O0

0 90 1 00 0 59 ] 00 4 O0 4 O0

1 I0 1 00 1 O0 I 00 4 O0 4 O0

PBO MUSLOPE BSLOP RSI,OPE PMAX IREPRS

1500.0 0.0000460 -0.0000232 0.0 6000.0 0


P MUO BO RSO

15. 10.50 ] 039 2 0

500 5 35 ] 0"18 93 ]

I000 3 39 ] i23 198 6

1500 2 46 i.]71 309 5

2000 1 92 ].220 424 0

2500 1 58 ] 21C 541 ]


3000 1 34 l "52] 660 6

3500 ] 17 l 373 781 9


4000 l 04 ] 426 904 8

65
4500. 0.94 1.479 1029.2

5000. 0.85 1.533 1154.9

5500. 0.78 1.587 1281.8

6000. 0.72 1.642 1409.8

P MUW BW RSW

0 1.0 1.0 O.

6000. 1.0 1.0 0.

P MUG BG CR

15. 0 01092 1 081322 0 0000030 0 9966967

500. 0 01171 0 028204 0 0000030 0 8842395

I000. 0 01347 0 01223] 0 0)00030 0 7669402

1500. 0 01664 0 007180 0 0000030 0 6"753116

2000 0 02100 0 005131 0 0000030 0 6434640

2500 0 02548 0 004210 0 0000030 0 6600009


3000 0 02949 0 003729 0 0000030 0 7014127

3500 0 03295 0 003439 0 0000030 0 7L46549

4000 0 03597 0 C_22_._ 0 0000030 0 8135868

4500 0 03864 0 00310L 0 0000030 0 875309]

5000 0.04105 0 002993 0 0000030 0 9383891

5500 0.04326 0 002906 0 0000030 I 0020770

6000 0.04530 0 002833 0 0000030 ] 0659600


RHOSCO RHOSCW RHOSCG

54.651 62.300 0.068

EQUILIBRIUM PRESSURE IN[T!ALIZATION/CONSTANT SATURATION


0 0

1500.00 1420.00 3000.00 2800.0U


0.75 0.25 0.00

KSNI KSMI KCOI KTR KCOF

0 0 0 0 0

NMAX FACT1 FACT2 TMAX WORMAX GORMAX PAMIN PAMAX

I<]00 1.2 .5 3660.0 50. i00000. 0. I0000

MITR OMEGA TOL TOLl DSMAX DPMAX

3000 1.7 .] 0. .05 50.


RECURRENT DATA

1 I 1 l l 1 l _ 0
•01 .001 3. 0. 0. 0.
RATES --

0 i t
PROD1

4 -II 1000.0 0 0 C 2

4 5 1 4 ." 52 5Ot.

5 5 1 4 .152 500.0
6 1 4. i 52 5Ot. "<

7 5 ! 4. i 52 b[;6. (_

0 30.0 g <5 _ O O _,_ 0

0 i .....

. . .C- ] . r . .

• •Sl 3t. " . '.

• . .r . [_ . .

• _ . .
0 1 1 1 1 1 1 1 0
1 Ol 3. O. O. O.
0 365.0 0 0 0 0 0 0 0
1 Ol 30 0 0 0
0 1 1 1 1 1 1 ! 0
1 Ol 3. O. O. o.
0 365 . 0 0 0 0 0 0 0 0
1 Ol 3O 0 0 0
0 ! 1 ] 1 l 1 i 0
1 01 3. O. O. O.
0 365.0 0 0 0 0 N 0 0
1 01 3O 0 0 0
0 1 ] 1 I 1 1 1 0
1 01 3. O. O. O.
0 365.0 0 0 0 0 0 0 0
1 O! 30 0 0 O
0 1 I ' l ] 1 1 0
1 0] 3 O " "
O ? 30. O 0 " C 0 O C 0
Ol 30 O £ 0
0 1 " ] ' i 1 C
i . 01 3. (". 0. 0.
O i 095 .0 C ,ff rO C C 0 0
i. Oi 30 o o o
c 1 ..... l o
"• O! 3. C. 3. O.
0 1 O 95 .0 C) <: C 0 C O 0
i. O! 30 O 0 O

67
Summary Report for Test Problem 1
(TSTPBM1.SUM)

* U.S. Department of Ea_rcA/: *


* VERTICAL/HORIZ£)NTAL/SIANT WEIL RESERVOIR SIMJIATOR *

* (VERSIf]_ I.2) *

*HORIZONTAL WELL(1200 FT), 160 ACRF_, 10rod *

GAS WATER

PRO0 AVG Ol L CUM C_ _ CUM Ol L WATER CUM Ol L

N TIME PRE£S RATE OIL RATE GAS RATIO RATE _TF_ RATIO

(T.S.) (DAY) (PSI) (B/D) (BBL) (MTF/D) (MSF) (MCF/B) (B/D) (BBL) (B/B)

7 5.97 1500 71 1000.00 5968• 974.29 6843. 0.97 0.00 O. 0.00


14 29.11 1483 99 1000.00 29108. 500.83 21679. 0•50 0 00 O. 0•00

21 39.94 1478 88 1000.00 39940. 406.18 26357. 0.41 0 00 0. 0.00

28 78.51 1465 02 1000.00 78507. 283.18 38986. 0.28 0 00 O. 0.00

35 121.08 1448 56 735.64 117156. 1680.24 80722. 2•28 0 00 O. 0.00

42 183.21 1431 47 478.14 1521,16 1725.36 191900. 3.61 0 00 0. 0.00

49 201.8i 1427 07 445.43 160675 i614.33 222803. 3.62 0 00 0. 0.00

56 268.45 14].2 76 371.78 187249 1202.7i 314332. 3.23 0.00 O. r0 00

63 365.65 1394.97 332.53 220363 615.71 400018. 1.85 0.00 0. 0 00

70 387.97 1391.35 328 06 227724 543•!3 4128:g. 1.66 0.00 0. 0 00

77 467.94 1379.48 32i 00 253566 341.59 44636"I. 1.06 0.00 O. 0 00

84 666.75 i354.81 319 50 3!"731! ]52.50 486771. 0.48 0.00 0. 0 O0

91 733.38 !347•i9 3!7 22 338500 166.36 496879. 0•52 0.00 O, 0 00

98 760.]6 1344.01 3i6 63 34698i i13.05 501444. 0.5,5 0.00 0. 0 00

i05 856.13 1332.66 314 59 3-I"1264 I/5.32 518391. 0.56 O.OO, 0. 0.00

112 !062•75 1308.0! 289 58 439918 317.34 56"7846. 1.10 0.00 O. O.OC

119 !101.45 !303.04 277 92 450841 385.62 58157]. 1.39 0.00 0 O.OC

"26 ii33.59 1298.92 210 43 459634 405.62 5_344. !.30 O.OC C 0.00

-_33 1248.75 1284.6! 240 17 488774 44i.86 644035. 1.84 0.00 0 0.00

"40 !458.75 1262.92 ]97 37 533443 320.84 /26167. i.63 0.00 0 0.00
:47 1469•94
, !262.02 :_li
, 72 _r_,
-<_oa : 288.5! 729440. ] .46 0.00 0 0.00

154 1508.5! 1258.76 194.62 543213 255.62 139830. 1.31 0.00 C 0.00

16! 1644.75 !248.13 193.48 569485 !46.94 765916. 0.76 O.CO 0 0.00

168 i826.0! 1235.60 209.25 6060;8 50.93 781187. 0.24 0.00 0 0•00

"75 1838.93 !234 •80 210.25 608788 49.86 78]836. 0.24 C.OC 0 0.00
182 1885.2! _'_i_3_
_.9(] 213.j,_<_ 6]86©9. 49 34 784_]5,. 0.23 0.00 O 0.00

189 2040.75 1222.53 218.46 (f:7399. 89 86 195042 0.41 0.00 0 O.OC


196 2250.75 "2!0.26 216.9_ 6980_9. lC/ 39 81,:'416 0.49 ,'].CO <," 0.(]0

203 2460.75 1196.87 218.56 143922. i30 7? 840433 0.60 0.00 O 0.00

,_ 2560.6_ _90.19 212.9"7 7655_9. 187 99 856338 m 88 0.00 0 0.00

2]7 2582 97 1188.'72 ?l,.SC ,'_'0243. 196 07 860639 0.93 O.O0 :2 0.00

224 2662 94 1183.40 Z_]'_.(]5 786867 222 OC 87;559 i•',']8 0.0 /] 0 "_ _"

,21 2861 75 1170.6_ "9'.2{- 925563. 25_ 48 926045 1.35 0.(,(; C 0.00

,'38 90"71 75 1;_,,__,,,4,_ 17,07 86!515. ,-&v.58. 978461 _.40 O.O:',) O. 0.')0

245 3°8
.......
_ 15 1_44.;f; '69.50 8998] I. 259.44 ,r_-_:578 _....
.%'_ "].Or',, C. r_,,._,r_
0

2t2 3491 15
...........
1133 C[: _(75.,2',: _a_42u6 2;0 ";'_: 107{7649. 1.69 [;.?,t; 5. C.OC

:7" _fi54 <'1 1i24.;i " !:__.55 <959619. .;f_f{.


63 "i31092. 1.72 O.OC O. O.OC

68
PART OF THE OUTPUT FILE FOR TEST PROBLEM 1
(TSTPBM1.OUT)

. "k

* U.S. Department of Energy: *


* VERTICAl/HORIZONTAL/SLANT WELL RESERVOIR SIHJ[ATOR *
* (VERSI(IN 1.2) *

*HORIZONTAL WELL(1200 UF) , 160 ACRES, iOrr_

GRID SIZE (DX) IN COLUMN 1 IS INITIALLY SZr AT 240.00 FOR ALL NOOES

GRID SIZE (DX) IN CO[IJMN 2 IS INFFIALLY SE'I'AT 240.00 FOP. ALL NOOES

GRID SIZE (DX) IN COI/_N 3 IS IN[TI/_/_Y SET AT 240.00 FOR ALL NODES

GRID SIZE (DX) IN CO[b,_N 4 fS INITIAI_Y SET AT 300.00 FOR _i, NODES

SRID SIZE (DX) IN COIl]MN 5 iS INITIALLY SET AT 300.00 FOR /V_[,NCA)ES

GRID SIZE (DX) IN COlb_4N 6 IS INITIALLY S_ AT 300.00 _ ALi, NOOES

GRID SIZE (DX) IN (_[IJMN 7 IS INITIALLY SET AT 300.00 FOR ALL NOOES

GRID SIZE (DX) IN COIL?fiN 8 IS ]N[TrAI_,Y SET AT 240.00 WAR td_I,NODES

GRID SIZF, (DX) IN C_I]]MN 9 IS ]NFI'!ALLY SE[' AT 240.00 FOR AI_ NOD_kS

GRID SIZE (DX) IN COlLeeN i0 IS INITIAI,I,YSET NI' 240.00 FC_ ALL NC_DF_S

GRID BLCCK WIDTH (DY) IS /N!'I'IAIL,Y SET AT 293.3300 FDR AI,I, NOOES

GRID BIf3CK DF/_'I'H (DZ) rS INIT]AI/_Y SET AT 50.0000 FOR ALL NOD[_

****_**_ _ODE M!bP'OINT EIEV;_:FIG]NS "*_*****_*

3025 ,_025 3025. 3025 3025. 3025. 3025. 3025 3025. 3025.
3025 3025 3025. 3025 3025. 3025. 3025. 3025 3025. "3025.
3025 3025 3025. 3t25 30,°h. 3025. 3025. 3025 3025. 3025.
3025 302'!, 9025 .......
3(]25 ').
302_. {'_"_ 3_"
,_2_.
_ 3025 302_ 302_,).
9025 3025 3025. 302:) 3025. 302[). 3025. 3025 3025 3025.
_025,, 3025 3025. ,-_"'_:,,o/_,
3025. 30Ph. 3025. BD2b "1025 3025.
3025 30_5. 3025. 3025 3025. 3025. 3025. 3025 3@25 3025.
3025 3025. 3025. 3025 3025. 3025. 3025. 3025 3025 3025.
3025. 3025. 3025. 3025 3025. 3025. 3025. 3025 3025 3025.

69
POI_ITY (PHI) IS INITIALLY SEF Ai 0.2500 FOR ALL. NODES

P_ILITY (PO() IS INITIALLY SET AT I0.0000 FOR ALI, NODES

PE_ABILI]I' (KY) IS INITIALLY SET AT I0.0000 FOR ALL NODES

PF_ILITY (KZ) !S INITIALLY SET AT I0.0000 FOR ALL NODES

***** EMPIRICAL DATA 'FABLE .....

SAT _ K4W _ PCV_W _rkO

0.0000 0.0000 0.0000 0.0000 904.09 _)4 O0


0.I000 0.0000 0.0000 0.0000 784.00 784 00
0,2000 0.0000 0.0000 0.0300 664.00 664 O0
0.3000 0.0200 0.0000 0.0900 544.00 544 00
0.4000 0.0600 0.0000 0.1900 424.00 424 00
0.5000 0.1500 0.0200 0.3400 304.00 30_ 00
0.6000 0.3200 0.06_0 0.5300 !84.00 184 O0
0.7000 0.5900 0.1500 0.7500 64.00 64 00
0.8000 1.0090 0.3200 !.0000 4.00 4 00
0.9000 l.O000 0.59_]t 1.0000 4.00 4 00
I.!000 !.0000 1.0000 1.0000 4.00 4 0C

P['_ MUS_E _IX_ P_IfX _E _'AX [ RllP}G

1500.00 0 . 460E-04 -0.232E-04 0 . 09 _,,,n,_


_J,.,_,. _',
,_,. C

15 0 1 _u.-,Uu_<_'_''
i .0390 2.00
b00 0 5.J_0J i 0782] 93 IC
]000 0 3.390C _._230 198 (_'
J,J,,,
C "_.46/]0 . llC 3C9 5_
2000 0 !.9200 " .;2<ii, 424 O(;
2500 ¢ 1.5800 1.210(, 541 :8
3000 0 ".3400 1.37!2 669 6_0
3500 0 1.1700 1.3730 781 9()
4000 0 _.04 r_'_ i.4260 904 80
4500 _'3. C.9400 1.479% "$2 r} 21
5O_;q.O 0.8500 i .537.,'; :'.<490
5500.0 0.780,3 _. L8 ;:" 1281 89
FS;O(.;.,'. " .'_.S(; " .642t " 409 8_;

;.3gg _ " "'_'"' ' 2<t'; " .i,',

70
P HUG _ CR

15.0 0.0109 0.1081E+Ol 0.300E-05


500.0 0.0117 0 2820E-01 0.300E-05
i000.0 0.0135 0 1223E-01 0.300E-05
1500.0 0.0166 0 7180E-02 0.300E-05
2000.0 0 0210 0 5131E-02 0.300E-05
2500.0 0 0255 0 4210E-02 0.300E-05
3000.0 0 0295 0 3729E-02 0.300E-05
3500.0 0 0329 0 3439E-02 0.300E-05
4000.0 0 0360 0 3244E-02 0.300E-05
4500.0 0 0386 0 3102E-02 0.300E-05
5000.0 0 0410 0 2993E-02 0.300E-05
5500.0 0 0433 0 2906E-02 0.300E-05
6000.0 0 0453 0 2833E-02 0.300E-05

RHOSCD I_DSC14 _IOSCG

54.6510 62.3000 0.0680

*_*_* SLOPES FOR CCIvPREZRBIBILITY CALCULA'rlc_s _***

P BD DFtO/DP RBO DRBO/DP

500.0 1.0780 0.8041E-04 !6.6 0.3345E-01


i000.0 1.1230 0.9000E-04 35.4 0.3758E-01
1500.0 1.!7!0 0.96OOE-04 55.i 0.3950E-01
2000.0 1.2200 0.9800E-04 75.5 0.4078E-0!
2500.0 1.2700 O.1000E-03 96.4 0.4171E-01
3000.0 i 32!0 0.I020E-03 117.6 0.4256E-01
3500.0 ! 3730 0.I040E-03 139.2 0.4320E-0!
4000.0 1 4260 0.I060E-(]3 !61.2 0.4377E-01
4500,0 i 4790 0.I060E-03 183.3 0.4431E-01
5000.0 1 5330 0.I080E-03 205./ 0.4477E-01
5590.0 I 5870 0.]080E-03 228.3 0.4520E-01
6000.0 i 6420 0. IlOOE-03 251.] 0.4559E-01

n BW DBW/DP }_W D}%ZW/DP

6000.0 1.0000 0.0000E+00 0.0 0.000OEr00

P E_ DIK]]DP
500.0 0 2820F2-01 -0.2171E-02
I000.0 0 1223E-01 -0. 31957]-04
1500.0 0 7] 80F-02 -C;.]010E-04
2000.0 0 5132 E-02 -0. 4098E-05
2500.0 0 42!0}.-02 -0.1_- 8A_v-O:
"1{.i. .]

3000._ 0 3729E-02 -0. 9620E-06


3500.0 0 3439K-02 -0. 5800E-<,6
4000.0 0 3244;Z-,)2 -0. 3900}<-06
4500.0 0 3102K-02 -0. 2840E-()6
5000.0 0 2993E-02 -0.2180[,]-06
5500.0 0 2cYO6E-02 -0. 1740E-06
6000.() 0 2833E-02 -0. i460E-06

MAX,ik_.JM h%_BER Oi_ PL_!,I-S'['I?.P:-{ =- 2,')00

FACTOR FC_i !NCR_Lr_.B[N(] DEI,T ]. 200000 _]{EN [_.c_/_< AN[) [)Pb"9< ._.)'[' E,X'(._.:
..... .,'_.:..t"'.;
FACI_:)Ri'X)RDECIfl:_I]:
>_; DEILT 0. 5O()0CO WIIEN [),<IM_TX
OR i)I)IvAXif; [:'.X,,'_"'::.hLP.,?").

71
MAXII_ SIMUIATION TIME =3660.000000
[V_MUM RESERVOIR WOR/T]IME-STEP : 50. STB/STB
I_MtlM RESERVOIR GOR/TIME-STEP = 100000. SCF/STB
5iINIM[IM AVERA_ RESERVOIR PRF,SSURE/TIME-STEP = 0.
MAXIM[lM AVFJqAGE RESERVOIR PRfLZSURE/TIME-STEP = I0000.

SOLUTION METHOO IS LgOR:


MAXIMUM NtlMBER CF ITERATIONS (MITR) = 3000
INITIAL ACCEI_TIGN PARAMEqF]_ ((AvF-cA)= 1.7000
MAXIMUM PRESSURE RESIDUAL (TOL) = 0.I000
P;%RAMETER FOR CHANGING (]MF_ (TOLl) = 0.0000

AU_IC TIME STEP CRITERIA:


MAXIMUM AL[f]4F/) SA_JRATION C_ (DflMAX) = 0.0500
F_XII_ _ PRESSURE CHANGE (DPMAX) = 50.0000

RESERVOIR CCNTA/NS FOLIf_ING RATE NGDES (FOR HORIZO_FAL OR SLANT WT/[I_Z)

,NODE OIL(STBD) NATER (STBD) GAS (MSF'D) TUFAL (RBD,) _{FP (PS[A) PID
4 5 1 i000.00 0.00 0.00 0.00 500.00 4.152000
5 5 1 i000.00 0.00 0.00 O.OC 500.00 4.152000
6 5 1 I000.00 0.00 0.00 0.00 500.00 4.152000
7 5 1 I000 .00 0.00 0.00 0.0G 500.00 4.152000

HORIZf)NTAL OR SLANT WELL PROOf IS AN LMPLICYI' PRESSU[_] SPECIFIED PRODUCING :_]f,LW]{ICH CONTAINS:
BLOCK 4 5 i
BI/3CK 5 5 1
BL_OCK 6 5 ]
BLOC_ 7 5 1

D'_YER i INITIAL FLUID VOIJ2_:


OIL IN PIACE (MILLION STB) 9.9394
_ATER IN PLACE (MILLION STB) 3.8789
SOI;JrlGN GAS IN PbN2E (BILLION SCF) 3.0762
FREE GAS IN PLACE (BILLION SCF) 0.0000

'IOTAL INITIAL FLUID VOI/_ IN RESERVOIR:


OIL IN PITKTE (MILLION STB) 9.9394
WATER IN PLACE (MILLIGN STB) 3.8789
SOLUTION GAS IN PLACE (BILLION SCF) 3.0762
FREE C_ IN PIACE (BILLIGN SCF) 0.0000

"****** INITIAL _RAYS *_**_*_

***** RESERVOIR PRESSURE DISTRfBUTION ***_*

K = 1

1511 15il 1511. i511. !5!i. 1511. ]51! 151! ]5ii 1511.
1511 1511 1511 1511 i511. i511. 1511 151i 1511 151i.
1511 151] 1511 1511 ]51]. ]511. 1511 1511 151.] 1511.
1511 1511 1511 !511 i511 1511. 1511 151! 1511 !5!].
1511 1511 1511 !511 15!I 1511. 15!1 15!I 1511 1511.
1511 1511 1511 15ii i51_ i511. 1511 1511 !511 1511.
1511 1511 1511 1511 i511 1511. 151i 1511 1511. !511.
1511 1511 1511 ]511 15!] 151]. 1511. ]5_] i5!I. !511.
!511 1511 151! 1511 151i 1511. 1511. 1511 1511. 1511.

72
********* OIL SAIURATICN *********

K=I

0 750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0 750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0 750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0 750 0.'7500.750 0.750 0.750 0.750 0.750 0.750 0.750 0.'750
0 750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0 750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750
0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 C 750
0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750 0.750

******** WATF_SAIURATION *********

K=I

C.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.750 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250
0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250 0.250

**"_'*** C_ASSAIURATI(_ *'******"

K -= 1

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
O.O00 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

**_.r BU}3B[ZPOINT P}_SSUP4£D[S'I'R[BUFIQ'4


*****

m == 1

1500 1500 1500. 1500. 1500. 1500. 1500. 1500 1500 1500.
1500 1500 1500. 1500. ]500. 1500. 1500. 1500 1500 1500.
1500 1500 1500. 1500. 1500. i500. 1500. 1500 1500 1500.
1500 1500 1500. i500. 1500. 1500. 1500. 1500 1500 1500.
1500 !500 1500. 1500. 1500. 1500. 1500. 1500 1500 1500.
!500 1500 i500. 1500. 1500. 1500. i500. !500 1500 1500.
!500 1500 ]500. i500. 1500. !500. 1500. ]500 1500 !500.
!500 1500 1500. 1500. 1500. i500. !500. !500 1500 1500.
1500 1500 1500. !500. i500. 1500. !500. 1500 1500 1500.

73
********** WELL _T FDR ALL /L'TIVE h%]MS ELAPSED Tlt@'J= 31.010000 DAYS _I<]M B_INNIIgS O_" SIMUIAT[ON "*'''***'"

RAT_/ --- CI2,1JlAT[VE ---


ifI/ATIC_ CALC SP_7 SPEC OI L _ WATER CX9_ WC)R OI L CwNS WATF_
ID I J K BHFP BHFP PI STB/D I_"F/D STB/D _TB _F MSTB

PR(1)1 4 5 1 828. 500. 4.152 257. 118. 0. 461. 0.000 8. 6. O.


PNf]Dl 5 5 1 828. 500. 4.152 243. Iii. 0. 456. 0.000 8. 6. O.
PRCDI 6 5 1 828. 500. 4.152 243. III. O. 456. 0.000 8. 6. O.
PRCOI 7 5 1 828. 500. 4.152 257. 118. 0. 461. 0.000 8. 6. 0.

TOTAI_ i000. 459. 0. 31. 23. O.

* SUMMARY REPORT: BQAST - VHS *

F/APSF_D TIME (DAYS) = 3i.01 TIME STEP NI]MBE_9 = 16 TIlL S'I]_ku


SIZE (DAYS) = 1.00

CURRENT AVG RES PRESSURE - 1483.0 PREVI(TJS AVG RES PRESSURE = 1483.5 PRESSbIiE DPMAX( 5, 5, I) _ -
3.8

O11, DSMAXI 5, 5, i) = -0.00116 GAS DSMAXq 5, 5, I) = 0.00116 _%q_F_RDS_9"O(( 5, b, i) :


O. 00000

OIL MA_F_AIAL BALANCE (%) = 0.000010 GAS MATERIAL BAIAKZTE (%) = 0.006352 WA.qqFi9
MATERIAL [_tk[ANCE (%) =
0.000026

OIL PRGOt_IGN RATE (Sq'B/D) : 100O.0 CUM. OIL PI_DOUCI'ION (S'[B) =0.3101[i_05
CAS PRCOtK,TIQN RATE (_F/D): 458.6 C]/M. GAS P_OOUCTION (MSCF) =0.2256E_05
hA_F]{ PR_ION RATE(STB/D): 0.0 CUM. WATER PRGOtKTFION (STB) _:0.0000E_00

CAS INJECTION RATE (MSCF/D) = 0.0 CUM,. GAS INJECTION (_'_') :0.0000E+00
WA_ER INJECTION RATE (STB/D): 0.0 CUM. WATER IN JFt-qiON (STB) =0.0000E_00

?R<XXXTING ZOR (STB/S_) = 0.000 CTX4,.WOR (_FB/STB) 0.000


PR(XXKTING GOR (SCF,./STB) : 459. CUM. COR (SfTF/STB) : 727.

_***" RESERk_DIR PRESSURF, DIS'iTtIBUFION ****"

K:I

1510 1510. 1509. 1509 1508. 1508. 1509 1509 1510 1510
1509 1509. 1507. 1506 1505. 1505. 1506 1507 1509 1509
1508 1506. 1502. 1498 1498. 1498. 1498 i502 1506 1508
1505 1501. ]494. 1465 1461. 1461. ]465 ]494 !50! i505
1503 1497. 1460. 1181 1169. 1169. 118i 1460 1497 1503
1505 150!. 1494. 1465 !46]. !46!. 1465 1494 ]50! 1505
1508 1506. 1502. ]498 1498. 1498. ]498 1502 i506 1508
1509 1509. 1507. 1506 ]505. 1505. i,")06 1507 1509 1509
1510 1510. 1509. 1509 ]508. 1508. ]509 !509 ]510 1510

74
-*' ...... 021, SA['J}<Aq'!C]N "*-*-**"

0 -_i,_0
0. -'f'r_
,4 ,,,, 0. 750 0. /50 0.750 <] ?50 0.750 0.750 0.750
O "50 0.7'50 0 750 0.750 0.750 0.750 0. /50 0.750 0.150 0.750
_,- 0 ., '_
? 7<.` ..... ,. ,:)w 0.750
" ,_-c, 0.750 0.750 -7_ 0.150 0.750
......
q 0.150
0 750 0. 150 0 749 0.744 0.143 0.-143 0.744 0.749 0.150 0.7,50
O lhc 0.;;49 0 ,"13 0.?04 0.699 0.699 0.704 0.743 0.149 0.750
'.,]
!50 0.150 0,749 0.7_,I 0.743 0.743 0.?,I,10.149 0.750 0.750
() _bO 0.750 0 790 0,790 0.750 0.750 0.-!50 0.750 0.750 0.150
0 ,'Se 0.750 0,V50 0.-150 0.750 0.750 0.750 0.750 0.750 0.750
,., ,, .<%
'_,,
._':_0 750 ,,.
n.IbO,.,._", _5,, " <o 0.750
0.7_,_ 0. ,;500.750 0,150 0.750

K:- :

"'l o ,-"
2.250 0.250 _,.,5,,3.250 0 o=,n 0.250 0 _ 0 250 0.250 0 250
0.250 0.2,50 0.250 0.250:C.2_0 0.2_C O 250 0.250 0.250 0.250
::.25,;3.250 O.?_0 0.250 _;.2-_0 0.2_;3 3 250 O.2b(; 0.250 0.22,0
:'.;:_C 3.250 O.;)SC <).2_t) C.2b:_ 2.2bC 0 ,):sO 0.25(; 2.250 0.25,%'
:;:.2nt'
2.250 0.21-0 0.250 O.2bC :'.?_b00 2b0 0.?_:,_C
0.250 0.2M_
(1.2::::0 _;.2b'," ':].2",,:) i",.2bC :).2iY) 0.2[,0 {; ;.hd O.?bO C.250 0.;-!:_0
.... "-" '0.2.::,: ,:.?::" _
._. 2<', :::.2::;', 3.25.:) ' 2:'8 ''_
,.,, 250 " . 2nO n.25[)
,,.,._,, q.:':,:! 7.25::: :_':..:_:(" :'.;::C' :3 f:,:t 0.750 Ct _:,r', 0.250
:'.2::_C_.25_ :].?f'<,'.?b,:" ,3.?':,) :; 250 0.2:<: ?.150 0.253
,.".2.-C

......... :b_S SA':\JI<A


l :C_C .........

...... 2.,110(} O.:;::)<? C:• O:"C :::.;:.',CS :?.00C ..... _ "'.OGO


.,_,,_, _, "" ....." '" ._,._w
_,.._,v,.J_, '"'
' _' O{v', 0.",::" ..... _,,,
'"' ,._ 2.t',;:) 0 .....
00C 0 f3£, 3 "'"'_ " 300 r'.di'O
._.. _ ,,._,30 0.""',_,
...... C ....000 3 <:':'0 ,9 0C£ ,:.30C 0 _,_,,"_0.C£00.Oi',O
.... _ _,_.
.,. "_ O..SC?, ('.,%C:: 0.:,':)6 C ?Ul 3.007 ?.C06 0 "0 _ S.000 O.OO(;
O.OC:( (;.:::;1 :'.:'£' :;.1;,I(, t'._Sl 0 052 t;.O,i;_ 0.007 ,;.[?Ol C.O0,:"
.," _",,, ,_.'2,',;(} :.?: i . ":£+ "" . :?,:' :'.%£' :;.O?t, ,: .Oi)'. <3.,,,,,,_"'_",_.,,_X
_'',,_
O. ;0(: O.L_(",;' ." ; ',3t;:: :'.,::O? 3.C0'2 t'.:;,:': ',.,: L" :,).OCO O.C%S

".: ".1','" ,'. " ::;" : .:':<" :'.?::2 :'.':2:' :;.::?: :.SC," L:.:':::'

...................................................... ?:,\'[) ;:.4- K-._×CF,:" " ....................... * ...... * ......................

Complete output file has separate report sections for each time step. To conserve space, the
last time-step was not included in the manual. The output file TSTPBM 1.OUT includes output for
all the time-steps. Many blank lines have been removed from the output for inclusion in this
document.
APPENDIX B. TEST PROBLEM 2

Input Data for Test Problem 2


(TSTPBM2.DAT)

WATERf'LOOD (HORIZ. INJECTOR, VERT. PRODUCER)


9 9 i

SO SHALE RESTART DT (SWITCH)

0 0 0 I0

GR( n
J BLOCK LENTTH

0 -I -I

I14,32 I14,32 114 .32 1i4.32 114 .32 1i4.32 114.32 114.32 114 .32

127.02

92 .00

GRID BLOCK LENGTH MODIFICATION (NONE)


O 0 O 0

CA?ROCK BASE DEPTH 70 +iO? Of SAND

i 903. O0

POROSITY AND PERMEABILITY DISTRIBUTIONS

-I -1 -1 -I
0.25

i95.00

_95 nO

_95 no

POROSITY AND PERMEABILITY MO[)IFICATION (NONE)


9 O 0 0 C

TRANSMISS!B!LITY ._,,,
v_"+' +. ,,ioNg
Tr'A_" iNONE)

0 0 0

SAT KRO KRW KRG [)COW ?OGO

_ _,,r_n 0.00 O.0C _.'_


O0 47C 63 470 63

0 I0 0 00 0 00 O O0 350 63 350 63

0 20 0 O0 0 O0 0 003 230 63 230 63

0 30 0 O0 0 0O 3 009 II0 63 ii0 63

0 40 0 i0 0 1O C 02 4 OC 4 O0

O _._r 0 20 0 20 3 I0 4 v_ 4 _'
vu

0 60 0 40 C 40 O 30 4 O0 4 00

0 70 0 60 0 60, 5 _5 4 O0 4 O0

0 _0 0 90 O 90 i 30 4 ,,,'_'_,, 4 0O

i iO i 00 _ C,,
n i t0 4 CO 4 O0

PBO MUSLOPE BS' ...._u RS" :_.,:"


O ....f PMAX REPRS

!OOO. 0 0 . 0000460 _r_,,. 00_r23,


_,-,,, ,,". 0 6009.3 C

P MUO BO E ."1C

15 8 B0 1 g2_ 4

500 4 66 i 06, 89 _;

i000 2 90 " 1"8 203 9


1500 2 07 ! v;, 329

2000 1 60 24C 464 !

2500 ! 30 " 326 604 9

3000 1 It i [57:i ]51 O

35C0 C 95 i 445 901 8

4r'O0 0 84 " -:]S "'_"

"..53,3 0 75 i 593 _ki5 3

76
5000. 0.68 1.669 1377.2

5500. 0.62 1.746 1542.1

6000. 0.57 1.825 1709.9


P MUW BW RSW

0 I .0 1.0 O.

6000. 1 .0 l .0 O.

P MUG BG CR

15 0.01084 1 053224 0.0000030 0 9968016

500 0.01160 0 027595 0.0000030 0 8883290

i000 0.01325 0 012054 0.0000030 0 7760914

1500 0.01617 0 007121 0.0000030 0 6877449

2000 0 02017 0 005082 0.0000030 0 6544081

2500 0 02435 0 004149 0 0000030 0 6678598

3000 0 02813 0 003658 0 0000030 0 7064928

3500 0 03143 0 003362 0 0000030 0 7575253

4000 0 03431 0.003163 0 0000030 0 8146929

4500 0 03687 0.003020 0 0000030 0 8749519

5000 0 03918 0.002910 0 0000030 0 9367676

5500 0 04128 0.002822 0 0000030 0 9993249

6000 0 04323 0.002750 0 0000030 I 0621740


RHOSCO RHOSCW RHOSCG

53.01i 62.300 0.064

EQUILIBRIUM PRESSURE INITIALIZATION/CONSTANT SATURATION


0 0

I000.00 920.00 2000.00 1800.00

0.80 0.20 0.00

KSNI KSM! KCO! KTR KCOF

0 0 0 0 0

NMAX FACT1 FACT2 TMAX WORMAX GORMAX ?AMiN PAMAX

1CO0 1.2 .5 3650.0 50. !O000C. O. I0000

MITR OMEGA TOL TOLl DSMAX DPMA

3000 1.7 .! 0. .05 50.


RECURRENT DATA

1 1 0 0 3 0 O 0 0

.0! .001 3. 0. 0. 0.
RATES --

! 0 0
PROD1

5 1 ! 1 - ii _ _ 0 0
28.78 450.

30 • 0 0 0 C _ C 0 0
!. °0! 30. O. O. 3.

0 ! i i ! 1 i ] 0

!. .0! 3. 0. 0. 0.

0 150.0 0 0 0 0 0 0 0
i. .01 30. O. 0. O.

O ! i 1 ! I ] 0

i. .0l 3. O. 0. 0.

0 180.0 C 0 0 0 0 '] 0
i. .01 30. 3. 0. O.

i ! i i i i l l O

.01 .00! 3. _. O. 0.
RA_.S

1 1 0

77
PROD1

5 1 1 1 -II 0 0 0 0
28.78 450.
IN Jt

9 -12 0 0. 0 0 2
1 9 1 35 265 1300
2 9 1 35 265 1300
3 9 1 35 265 1300
4 9 1 35 265 1300
5 9 1 35 265 1300
6 9 1 35 265 1300
7 9 1 35 265 1300
8 9 1 35 265 1300
9 9 1 35 265 1300
C 30.0 0 0 O 0 0 0 0
! Ol 30. 0. 0. 0
O 1 1 1 1 1 ! '. 0
! O! 3. O. O. O.
J 150 0 o o 3 o t C 0
1 Ol 30. 0. 0. 0
0 ! 1 1 ! 1 ! 1 o
1 Ol 3. O. O. 0.
0 180 0 0 0 C O C 0 0
1 Ol 30. 0. O 0
0 1 1 1 l l 1 1 0
Ol 3 • 0° 0, _,

0 365 q 0 0 ? C 0 0 O
I Ol 30. 0. 0 0
0 1 1 ! _ l l _ 0
1 01 3. 0. 0. 0.
0 365 0 0 C C 0 O C C
i. Ol 3O. 0. O C

C i 1 1 ! 1 1 " 0
I. Oi 3. O. O. O.

0 365 0 0 0 O 0 0 O C
i. Ol 30 . 0. 0 C
O ! 1 1 1 1 ! 1 0
L. Ol 3. O. O. O.

0 365 0 0 0 O C C 0 0
I. Ol 30 . 0. C O.
c l l l _ L l l 8
!. Oi 3. O. O. C.
<" 730 0 0 0 C _ C 3 0
• Oi 30 . 0 . 3 C.
0 1 ! 1 l " 1 C
i. Ol 3. O. O. O.

<} 1095 O 0 3 3 0 3 3 0
!. Oi 30. O. 9 0.

7_
Summary Report for Test Problem 2
(TSTPBM2.SUM)

" U.S. De_t,,-lent _,_--_F.ner%'y: "


* VE'RTi_4,,J HOR! Z&IN'FAL/SIA_ _T._ " ' "_'R_......
_=', .... ,,,,._ Z i.'-t[ .:-Z%_

till _ lt tilt. Tttflttt.t ttllltttlttttt t ttr t tt ttr t t t itr ttt

_W_TERFLCOD (HORIZ. INJ_]_[<_, W__T.. P,_dY___R)

_l _ tww • w tl _I.tl. Iv._tw._wtt,tl.......

GhZ X;< %i.'--;

PRO0 AVG OI L CUM C._'] CUM Oi L :';AT".-_ ,::..>: ....

N TIME PRESS RATE 01L RATE C_AS RA'['IO RA4'}. "_A"..Y.'._ Y.,'< _<_

(T.S.) (DAY) (PSI) (B/D) (BBL) (MSF/D) (MCF) (bI2FIB) (B/J4 (i72_i.) (i_, h)

I0 12.49 9-13.03 1129.98 22691. 1542.47 13"198. 1.37 0.00 0. g. C0

20 37.45 958.66 1!79.48 50843. 583.48 35854. 0.49 0.00 0. _ 0C

30 102.05 935.64 932.92 118418. 599.28 72520. 0.64 0.00 0. 0 00

40 190.94 916.74 872.68 200436. 505 .95 116316 0.58 0.00 _._ C 0C

50 268.45 905.39 785.34 263295. 519 42 157340 0.66 0.00 0. O 0C

60 362.58 898.41 780.62 336283. 410 12 201163 0.53 0.00 0. S 00

70 36,3.27 917.75 780.01 336820. 410 31 201445 0.53 0.00 0. 0 00

80 365.14 923 92 ]78.40 338281. 41i 58 202216 0.53 0.00 0. 0 00

90 369.26 943 95 769.93 341470. 415 06 203920 0.54 0.00 0. 0 00

I00 387.23 998 49 730.59 3549]4. 427 82 211551 0.59 0.00 0. _ 0C

II0 408.52 1026 43 720.86 370254. 367.36 220037 0.51 0.00 0. 0.0O

120 489.63 1066 33 ii36.19 442136. ]54.32 237507 0.14 0.00 0. 0.0C

130 548.39 1107 39 1494.45 519651. 264.79 252168 0.18 0.00 0. _.00

140 602.22 1153 92 1714.43 613626. 606.95 278382 0.35 0.00 0. _.0u

150 718.16 1143 71 1605.74 813581. 535.56 337545 0.33 0.00 0. 0.00

160 744.82 1i48 59 1602.83 856103. 553oi9 352352 0.35 0.00 0 0.00

170 836.05 1163 85 1350.00 995414. 228.42 399147 0.17 0.00 0 0.00

180 929.42 1].83.87 i116.76 1107072. 194.99 436207 0.17 376.37 15740 0.34

190 1003.18 1172.43 1007.93 1182964. ]70.39 457155. 0.17 497.00 45189 0.49

200 i091.02 1173.35 802.23 1259628. 395,40 484989. 0.49 547.57 92914 0.68

210 1122.17 1173.!4 786.22 1284281 303.95 494973. 0.39 663.80 112784 0.84

220 1224.19 !173.91 717.24 1360615 199.87 524046. 0.28 824.34 1889 .<. 1.16

230 1298.83 1175.34 666.70 1411964 261.98 542831. 0.39 906.98 2545,4 1.36

,-4,, i344.41 1175.06 635 76 1441715 237.73 553241. 0.37 985.86 298321 ].55

250 !438.54 1173.11 564 10 1498336 204.59 575227. 0.36 1091.20 398422 1.93

260 _463.46 I]72.]6 553 02 1512440 219.65 579942. 0.40 1190 03 427638 2.15

270 _28.06 !169.6] 5,_ 55 1546711 203.90 593608. 0.40 1296 98 508430 2.52
zS_ 16J4.7] 1i58.83 444 28 ]606586 71.91 615761. 0.16 ]671 40 689954 3.76

230 '3/.21 !159._9 380 48 164!0/i 60.93 626719. 0.16 1794 28 823408 4.72
_3" _;_2[:.82 l_r"4
..........._", 364 6 _- 1673447 ,-- .,.z
_'] o- 636875. 0.27 ]826 82 9"11021 5.01

:: 1}_4 .98 i:£_=.!5 _5(] 99 1682630 -35.31 640155. 0.39 !807 42 1017264 5.15

C " [:,_.{_ 1,5_. ,_ 279 6,' 1725871 44.50 657464. 0.7,6 1866 4_, !2(<dlTb. &.6'

79
APPENDIX C. TEST PRf)BLEM 3
Input Data for Test Problem 3
iTS TPBM3.DAT)

_ .- -.- :.h

-..

. .

}'.: , ?/

.::C._:'S ":" A."F; FE }C(FA,:_ .....


..............v ..,-.... = -,-- A': :Ct_ N<:Xk_
" :: } ....

i_A:;S'<'SS::.-.'::_::"*' Y,f_L':- "Cb:'CNS (N3'.Xk


_ S 0 0

::gA.l. K RC Y .qW K.;;,C ;: COW P L'SC


".L:L" C.CC L:.:}O 0.33 4/0 _J 4 ,;0 63
:. "C S CO ,% 3C C.30 3hS 63 350 63
<.2'," 0 O0 ,9 00 0 003 238 63 23C 63
• . _:: (:' 0£ 2 0,% 2 009 " lt 6 _ "O 63
d.4g O 1,: L; lO C 02 4 L:'O 4 OC
0.50 0 20 0 20 C !0 4 ,'_(; 4 00
0.60 0 40 0 40 0 30 4 08 4 00
_,r'.70 0 6C r,,, 60 0 "t _._, 4 ,,'_"-, 4 O0
C.SO 0 90 0 90 l 00 4 O0 4 O0
!.iO i.00 l O0 1 00 4 C0 4 00

PBO MUSLOPE BSLOPE RSLOPE PMAX IREPRS


]000.0 0.0000460 -0.0000232 0.0 6000.0 0
P MUO BO RSO
15. 97 75 1 019 1.3
500 47 55 1 046 60.6
I000 27 24 1 077 129.2
1500 17 90 1 109 201.4
2000 12 86 ! 142 275.8
2500 9 81 ] 177 352.!
3000 7 82 1 21] 429.7
3500 6 4 a. I 247 508.7

4000 5 43 ] 283 588.7


4500 4 68 ] 3! ° 669.6
5000 4 09 ! 356 751.4
5500 3 62 1 393 833.9
6000 3 25 ] 430 9i7.2

gl
P MUW BW RSW

0 i .0 I .0 0.

6030. 1.0 " .C 0.

? MUG BG CR

:5 • 0 . 01084 i ._,'_'53224 0 0r'O_'r'3S


,.., ,.,._

9,30. 0.01160 S.027595 O 0008030

I:-03. 0.01325 0.0-3054 0 D00"3033

....
ao C C1617 C.?O,[2i 0 _"f'<}}3S

;'_8
-,- • " .....
,-, "s"' ," __ 305.082 8 O,OC 333t?

F_:SC. 2.C2435 _" 3C4149 O 0001"t-_1"

3300. 0.028"3 3 3336_8 _ r_o"0OqC_


, .,

3509. 0.03143 3 003362 0 0OOC',:}C

4C8C. 0.03421 C 803163 O ©t'O_':]3""

", ,:: }.S . C .,,r_36_",, O 003329 n,, _,-,,..


,,,,,"".... 3[.:

ohCC. 8.04"28 i: 35,2822 0 00323'3,9

6 ...... . S.t'}4322 ?. 2<:,! _2 3.:}_L'£338


}_,:{S _}7.C "" '" "" '
._::,,oCW _{i{C'SC:l

_.:'" i 62. 300 8.364

}_'.:1: "-{R[UM PRESSURE :N AI.'ZAT'C_:_,','O:;S-=AN:" SA'I"URA'7]OX


,_

:,<;{}.C/.; 920.83 2<38.t:_(.. " 8{',_.Sf


3.83 3.2C 8.Cg

YiSN l KSMI KCOI KT"!_ KCO -_

0 0 " C r,
J

NMAX FACTI FACT2 "?MAX WORMAX GORMAX PAMiN PAMAX

............. 100000. 0. _ 00,90


'-':lR
,. OMEGA "_
.C_..' :"O L " DSMAX DPMAX

ICC0 1.7 i . S. .05 50.


R}:CURRENT DATA

,., _ 2 3 0 0 0 0
._ .O] 3. 0. C. O.
RATES --

0 0 1

SLANT

2 -1 0 0 0 0 2

3 5 1 7 5 3 3 5 1

0.25 0. 500. 2

9 30. 0 0 _" 0 0 0 0 0

1 , .2 i0. 0. 0. O.

0 1 1 ! I 1 1 1 0

.I .i 3., 0. O. O.

0 335.0 0 0 0 0 0 0 0

1. ,5 30. O. 0. 0.
0 1 1 1 1 ] ] i 0

.! .I 3. 0. 0. 0.

0 730.0 0 0 0 0 0 0 0

I. .5 30. O. 0. 0.

0 1 1 1 1 ] 1 1 0
._ .01 3. 0. O. O.

0 364 .0 0 0 0 0 0 0 0
! . .01 30. 0. O. 0.

0 ! 1 1 i ! ! 1 0
.i .01 3. 0 0 0

82
Summary Report for Test Problem 3
(TSTPBM3.SUM)

* U.S. Department of Fz_rgy: *


* VERTICAL/HORIZONTAL/SLaNT WELL RESERVOIR SINIJLA'I_DR *

(VERSIC_ 1.2) *

* StAN'F PRC_JCER *

GAS WATER

P_S_3 _VG OIL CUM CAS CUM OIL _A_ER CUM _':

N TIME PRESS RATE OIL RA]_: GAS RATIO RATE, WA'IT_4 RATIO

S. ) (_Y) (PSI) (B/O) ([:tBL) (_Y/D) (,.HCF) (MC,F/B) (B./D) ([_BL) ,BI;_,)

3 2.74 978.3] i2!2.94 3632. 146._3 448, 0.12 G.CO C. ".]_:

6 9.03 975. /3 984.58 10173. 1!4,04 12!3. 0.12 O.CC C. '....

9 "9.9<: 9}2.53 83!. 31 19680. 94.3l 2298. _.r' ii O.O0 [:. :,. :::::

!2 ]0.20 969.85 69:;. _., 21493. 92 .12 3!80 _. 13 t.OC Li. :] ,%0

15 34.57 968.78 678.82 30488. !55.58 3/28 0.23 9.GC O. _: _C

_.8 42 • 12 966 96 640.38 35418.. 33_,34 5805 0.52 _


_. C_ C. $ _,_'"

55.i6 963 59 5;8.34 43227. h21.64 12046 0.90 0.00 C. _ 8C

24 K'_._r 958 03 5i0.i7 55132. 386,00 22139 0.76 O.OC C. _: St

:;; 116. 949 96. 489.1 / 74289. !74.01 31000 0.36 O.OC _ ' ',:'3

3% ,,_3.t_, 939 26 467.5! 106353 i55.73 41528 0.33 O.OO " :'.'::'

33 273.94 928 28 42 ).9_] 145954 220.66 51644 0.52 0.00 L: :'.


C,:

36 363.94 9":9 74 386.85 181 _2[_ 90.I0 /4522 ",].2


_ <].Off C ".;'

39 366.5,0 9]9 44 390.82 182525 42,4 I /4630 O. i] G.O0 ' ::'.


_::

42 3/i.,'4 9!9 !3 391 8,') ]84578 46.22 74865 0.12 0.8(: ",: ::.:,%,]

45 380.80 918 46 392 lO 188132 54 _2 ;5332 0 1,1 o 0() " 6.90

48 396.45 917 42 :_92.58 194278. 63.54 76284 0 ]6 0.00 ',: 3.'20

5i 423.50 9L5 65 390 4/ 204858. lI.31 18117 C 18 0 00 [ O.C3

54 470.23 9!2 69 383.36 222908. 116,87 82979 0 30 0 00 0 C,OC

57 549.04 907 75 369 16 252348. i58.42 94218 0 43 0 O0 0 O.OO

(£) 639.04 902 27 343 07 284134 203.00 112317 0 59 0 O0 0 0.00

63 729.04 897.39 329 24 314058 165.95 128051 0.50 0 O0 0 0.00

66 819.04 893.01 313 75 342794 ]62.80 142922 0.52 0 O0 0 0.00

69 909.04 889.36 306 9] 370499 !]3.22 154197 0.37 0 O0 0 (.00

72 999.04 886.13 299 33 397673 i]2.68 164723 0.38 0 O0 0 0 O0

75 1089.04 883.22 296 32 424396 i04./0 174041 0.35 0.00 O. 0.00

78 1096.60 882,89 293 29 42662.0 111.60 ]74882 0.38 0.00 O. 0.00

83
r

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