01 - Introduction To Well Testing
01 - Introduction To Well Testing
01 - Introduction To Well Testing
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Well Test Applications
• Exploration
• Reservoir engineering
• Production engineering
Well Test Objectives
• Define reservoir limits
• Characterize reservoir
Single-Well Multi-Well
Development of the
Diffusivity Equation
The Diffusivity Equation
– In a porous medium
– At constant temperature
The Continuity Equation
= ( Aρv ) 1 − ( Aρv ) 2
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Equation of State for a Slightly
Compressible Liquid
c ( p −po )
ρ = ρ oe
Flow Equation - Darcy’s Law
kA∆p
q=
µL
or, in differential form,
k x ∂p
ux = −
µ ∂x
The Diffusivity Equation
1 ∂ ∂p φ c
µ t ∂p
r =
r ∂r ∂r k ∂t
Data Used in Well Testing
Formation Volume Factor
Vres
Bo =
Vsurf
Viscosity
v + dv
dy v
F
µ≡
dv
A
dy
Fluid Compressibility
1 ∂Vo ∂ ln( Vo )
co ≡ − =−
Vo ∂p ∂p
Porosity
Permeability
qµL
k=
A∆p
Pore Compressibility
1 ∂φ ∂ ln( φ )
cf ≡ =
φ ∂p ∂p
Net Pay Thickness
Shale
h1 Sand
h2
h3
h = h1 + h2 + h3
Net Pay Thickness
Case 1 Case 3
Case 2 Case 4
Saturations
H2O
Wellbore Radius
rw
Total Compressibility
c t = c f + S o c o + S w c w + S gc g
Exercise 1