Cargo calculation, ASTM tables Rev.

: 19 AUG 2013

Content of ASTM tables

Series I - TABLE 5 & 6 - FOR Table 13 Metric Tons per 1000 US Gallons at 60ºF and
API, 60ºF per Barrel at 60ºF against API Gravity at 60ºF
Volume I: Generalized Crude Oils (Tables 5A & 6A) Table 14 Cubic Metres at 15ºC per Short Ton and per
Volume II: Generalized Products (Tables 5B and 6B) Long Ton against API Gravity at 60ºF
Volume III: Individual and Special Applications, Table 6C Volume XII - ENTRY WITH
RELATIVE DENSITY
Series II - TABLE 23 & 24 - FOR Table 21 Relative Density 60/60ºF to API Gravity at 60ºF
RELATIVE DENSITY, 60ºF and to Density at 15ºC
Volume IV: Generalized Crude Oils (Tables 23A & 24A) Table 22 US Gallons at 60ºF to Litres at 15ºC and Barrels
Volume V: Generalized Products (Tables 23B and 24B) at 60ºF to Cubic Metres at 15ºC
Volume VI: Individual and Special Applications, Table Table 26 Pounds per US Gallon at 60ºF and US Gallons at
24C 60ºF per Pound against Relative Density 60/60ºF
Table 27 Short Tons per 1000 US Gallons at 60ºF and per
Series III - TABLE 53 & 54 - FOR Barrel at 60ºF against Relative Density 60/60ºF
KG/cm3 DENSITY, 15ºC Table 28 US Gallons at 60ºF and Barrels at 60ºF per Short
Volume VII: Generalized Crude Oils (Tables 53A & 54A) Ton against Relative Density 60/60ºF
Volume VIII: Generalized Products (Tables 53B and 54B) Table 29 Long Tons per 1000 US Gallons at 60ºF and per
Volume IX: Individual and Special Applications (Table Barrel at 60ºF against Relative Density 60/60ºF
54C) Table 30 US Gallons at 60ºF and Barrels At 60ºF per Long
Volume X: Background, Documentation, Program Ton against Relative Density 60/60ºF
Listings Table 31 Cubic Metres at 15ºC per Short Ton and per
Volume XI / XII - ASTM D 1250-80 - API standard 2540 Long Ton against Relative Density 60/60ºF
and IP Designation 200 apply. Table 33 Specific Gravity Reduction to 60ºF for Liquefied
Petroleum Gases and Natural Gasoline
Volume XI - ENTRY WITH Table 34 Reduction of Volume to 60ºF against Specific
API GRAVITY Gravity 60/60ºF for Liquefied Petroleum Gases
Table 1 Interrelation of Units of Measurement Table 51 Density at 15ºC to Relative Density 60/60ºF and
Table 2 Temperature Conversions to API Gravity at 60ºF
Table 3 API Gravity at 60ºF to Relative Density 60/60ºF Table 52 Barrels at 60ºF to Cubic Metres at 15ºC and
and to Density at 15ºC Cubic Metres at 15ºC to Barrels at 60ºF
Table 4 U.S. Gallons at 60ºF and Barrels at 60ºF to Litres Table 56 Kilograms per Litre at 15ºC and Litres at 15ºC
at 15ºC against API Gravity at 60ºF per Metric Ton against Density at 15ºC
Table 8 Pounds per US Gallon at 60ºF and US Gallons at Table 57 Short Tons and Long Tons per 1000 Litres at
60ºF per pound against API Gravity at 60ºF 15ºC against Density at 15ºC
Table 9 Short Tons per 1000 US Gallons at 60ºF and Table 58 US Gallons and Barrels per Metric Ton against
Barrel at 60ºF against API Gravity at 60ºF Density at 15ºC
Table 10 US Gallons at 60ºF and Barrels at 60ºF per Short
Ton against API Gravity at 60ºF Volume XIII: LUBRICATING OILS, TABLES 5D &
Table 11 Long Tons per 1000 US Gallons at 60ºF and per 6D
Barrel at 60ºF against API Gravity at 60ºF
Table 12 US Gallons at 60ºF and Barrels at 60ºF per Long Volume XIV: LUBRICATING OILS, TABLES 53D &
Ton against API Gravity at 60ºF 54D

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Cargo calculation, ASTM tables Rev.: 19 AUG 2013

Working with Dens @ 15  C ( Dens @ 15  C by default means Densvac @ 15 C ):

1) Ullagecorr  Ullageobs  UTI corr
2) Interfacecorr  Interfaceobs  UTI corr
3) Ullagecorr COT
    TOV , Total Observed Volume, (in CBM)
Ullage Tables

4) Interfacecorr COT
  WATER (in CBM)
Ullage Tables

5) GOV  TOV  WATER , Gross Observed Volume of Cargo (in CBM)

Dens@15  C & Temp obs C    VCF , Volume Correction Factor

ASTM Tab. 54
6)
7) GSV  GOV  VCF , Gross Standard Volume @ 15ºC (in CBM)
8) Weight vac  GSV  Densvac @15  C , Weight in Vacuum (Metric Ton)
9) Dens air @ 15  C  Densvac @ 15  C  0  0011 ; Density in air (Ton / CBM)
Weightair  GSV  Densair @15 C , Weight in Air (Metric Ton)

Working with API:

1) Ullagecorr  Ullageobs  UTI corr
2) Interfacecorr  Interfaceobs  UTI corr
3) Ullagecorr COT
    TOV , Total Observed Volume, (in US Barrels)
Ullage Tables

4) Interfacecorr COT
  WATER (in US Barrels)
Ullage Tables

5) GOV  TOV  WATER , Gross Observed Volume of Cargo (in US Barrels)

APIGRAV@60 F & Temp obs F   VCF , Volume Correction Factor

ASTM Tab. 6
6)
7) GSV  GOV  VCF , Gross Standard Volume (in US Barrels)
8) API GRAV @60  F Tab
 .13
 WCF ; Weight Correction Factor (MT/BBLS)
9) GSV  WCF  Weight AIR , Weight in Air (Metric Ton)

Working with Relative Density @ 60/60ºF / SG 60/60ºF:

1) Ullagecorr  Ullageobs  UTI corr
2) Interfacecorr  Interfaceobs  UTI corr
3) Ullagecorr COT
    TOV , Total Observed Volume, (in CBM)
Ullage Tables

4) Interfacecorr COT
  WATER (in CBM)
Ullage Tables

5) GOV  TOV  WATER , Gross Observed Volume of Cargo (in CBM)

SG 60/60  F & Temp obs F   VCF , Volume Correction Factor
 ASTM Tab. 24
6)
141  5 141  5
SG 60 / 60 F   API 60 F   131  5
API 60 F  131  5 SG 60/60 F
7) GSV  GOV  VCF , Gross Standard Volume (in CBM)
8) SG 60/60  F    Densvac @ 15  C
ASTM Tab. 21

9) Weightvac  GSV  Densvac @15 C , Weight in Vacuum (Metric Ton)

Temperature Correction Factor TCF

1) Density obs  Dens known  ( Tempobs  Temp@ dens )  TCF
Dens20 º C  0.93 ; TCF = 0.00068; Cargo temperature = 29º C;
Find the density at 29º C: Dens 29º C  0.93  ( 29º 20º )  0.00068  0.92388

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Cargo calculation, ASTM tables Rev.: 19 AUG 2013

Use of ASTM tables

TABLE ENTER WITH TABLE
 TO OBTAIN …
VCF = VRF (VOLUME CORRECTION / REDUCTION FACTOR)
API @60 F & Tempobs F   VCF
ASTM Tab. 6 
6
SG 60/60 F & Tempobs F   VCF
ASTM Tab. 24 
24
Dens@15  C & Temp obs C    VCF
ASTM Tab . 54 
54
WRF (WEIGHT REDUCTION FACTOR)
11 API @60 F    Long tons / BBLS
ASTM Tab.11

12 API @60 F    BBLS / Long ton

ASTM Tab.12

13 API @60  F    Metric tons / BBLS

ASTM Tab .13

29 SG 60/60 F    Long tons / BBLS

ASTM Tab. 29

52 Cubic Meters @15 C    BBLS@60  F

ASTM Tab. 52

56 Dens@15 C    KGS / Liter

ASTM Tab. 56

58 Dens@15 C    BBLS / Metric ton

ASTM Tab. 58

CONVERSIONS
API @Temp obs F    API@60 F

ASTM Tab . 5
5
SG@Tempobs F    SG 60/60 F

ASTM Tab. 23
23
Dens@Temp obs C    Dens@15  C

ASTM Tab . 53
53
Dens@15 C
3 API @60 F   

  
ASTM Tab . 3

 SG 60/60 F
Dens@15 C
21 SG 60/60 F   

  ASTM Tab. 21

 API @60 F
 API @60  F
51 Dens@15 C   

 
ASTM Tab . 51

SG 60/60 F


F  32

F 1.8 C  32  C 
 

1.8
141.5  999.012 141.5  999.012
Dens @15C   API @ 60 F   131.5
API @ 60 F  131.5 Dens @15C

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 Cargo calculation, ASTM tables Rev.: 19 AUG 2013

DETERMINING OF CARGO QUANTITIES

Initial data: API GRAVITY @ 60º F (API) = 32
DENSITY @ 15º C = 865.0
SG 60/60º F (SG) = 0.8654
OBSERVED TEMPERATURE = 37.8º C / 100º F

ALTERNATIVE 1: ALTERNATIVE 3:
GROSS VOLUME M3 @ OBS TEMP = 50,000 CBM GROSS VOLUME M3 @ OBS TEMP = 50,000 CBM
GROSS BBLS @ OBS TEMP = 50,000 CBM x 6.28981 = 314,490.5 US BBLS GROSS BBLS @ OBS TEMP = 50,000 CBM x 6.28981 = 314,490.5 BBLS
VRF (Tab-24 / 6) = 0.9817 (Tab-6) VRF (Tab-24 / 6) = 0.9817 (Tab-6)
NETT BBLS @ 60º F = 314,490.5 x 0.9817 = 308,735 NETT BBLS NETT BBLS @ 60º F = 314,490.5 BBLS x 0.9817 = 308,735 NETT BBLS
WRF = (Tab-13) = 0.13728 WRF (Tab- 58) = 7.284
METRIC TONS = 308, 735 BBLS x 0.13728 = 42,383.14 MT METRIC TONS = 308,735 BBLS / 7.284 = 42,385.37 MT
METRIC TONS TO LONG TONS = 0.984206 METRIC TONS TO LONG TONS = 0.984206
LONG TONS = 42,383.14 MT x 0.984206 = 41,713.74 LT LONG TONS = 42,385.37 MT x 0.984206 = 41,715.94 LT

ALTERNATIVE 2: ALTERNATIVE 4:
GROSS VOLUME M3 @ OBS TEMP = 50,000 CBM GROSS VOLUME M3 @ OBS TEMP = 50,000 CBM
GROSS BBLS @ OBS TEMP = 50,000 CBM x 6.28981 = 314,490.5 BBLS GROSS BBLS @ OBS TEMP = 50,000 CBM x 6.28981 = 314,490.5 BBLS
VRF (Tab-24 / 6) = 0.9817 (Tab-6) VRF (Tab-24 / 6) = 0.9817 (Tab-6)
NETT BBLS @ 60º F = 314,490.5 BBLS x 0.9817 = 308,735 NETT BBLS NETT BBLS @ 60º F = 314,490.5 BBLS x 0.9817 = 308,735 NETT BBLS
WRF (Tab-11) = 0.13512 WRF (Tab-2) = 7.401
LONG TONS = 308,735 BBLS x 0.13512 = 41,716.27 LT LONG TONS = 308,735 BBLS / 7.401 = 41,715 LT
LONG TONS TO METRIC TONS = 1.01605 LONG TONS TO METRIC TONS = 1.01605
METRIC TONS = 41,716.27 LT x 1.01605 = 42,385.82 MT METRIC TONS = 41,715 LT x 1.01605 = 42,384.52 MT

THEORETICAL DENSITY (IN VACUUM) CALCULATION

a  present QTY (MT) g  QTY to be loaded (MT)
b  present Densvac @ 15 C h  loaded Densvac @ 15 C
c  Temp present i  Temploaded
d     VCF
ASTM Tab. 54 j     VCF
ASTM Tab . 54

e  WCF  b  0  0011 k  WCF  h  0  0011

f  factor  VCF  WCF  d  e l  j  k  VCF  WCF
g QTY(MT)
x  GOV 
a

QTY(MT) y  GOV  
f VCF  WCF l VCF  WCF

x  b  y  h GOV present  Dens present  GOVloaded  Densloaded

Densblended  
x y GOV present  GOVloaded

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Cargo calculation, ASTM tables Rev.: 19 AUG 2013

GSV@15°C to US BBLS@ 60°F conversion

1. Dens vac@15 C & Temp 15.556 C (  60 F )    VCF (60  F )

ASTM Tab . 54

GSV@15 C
2. US BBLS@60F   6.28981
VCF (15.556 C  60  F )

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