Petroleum Engineering
PtrE 421
Production Engineering
Lecture 2
Undersaturated Oil Reservoir
Inflow Performance

Petroleum Engineering
•
Read chapter 2 in Textbook,
Petroleum
Production System
, by Economides, M.J.,
A.D. Hill, and C.E. Ehlig-Economides
Reading and Homework

Petroleum Engineering
Outline
•
Darcy’s Law
•
Transient Flow
•
Steady-State Flow
•
Pseudo-Steady-State Flow
•
Productivity Index
•
IPR Curve
•
Horizontal Well Production
•
Effects of Water Production

Petroleum Engineering
Darcy’s Law
dL
d
k
v
gh
p
v = cm/s
= Atm
L = cm
= cp
k = Darcy

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Reservoir Flow Types
Transient Flow
-pressure disturbance at wellbore has not
yet reached reservoir boundary
Steady-State Flow
- pressure disturbance has reached all
Boundaries, reservoir pressures are not
changing
-pressure support, i.e. one or more
constant pressure boundaries
Pseudo-Steady-State
-pressure disturbance has reached all
boundaries - closed reservoir, constant flow
rate production
- bottomhole pressure decreases with
depletion

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Transient Flow (TF)
•
Infinite-acting reservoir
•
Radial flow
•
Slightly compressible and constant
viscosity fluid

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Constant-Rate Solution
s
r
c
k
t
kh
qB
p
p
w
t
i
wf
87
.
0
23
.
3
log
log
6
.
162
2
p = psi
q = STB/day
B = rb/STB
= cp
k = md
s = -6 to 50
h = ft
t = hour
= fraction
c
t
= psi
-1
r
w
= ft

Petroleum Engineering
Approximate Constant-Pressure
Solution
2
162.6
log
log
3.23
0.87
i
wf
t
w
kh p
p
q
k
B
t
s
c r

Petroleum Engineering
Construct IPR of a well in an oil reservoir. Consider: 1) TF at
1 month, 2) SSF, and 3) PSSF. The following data are given:
•
Porosity,
•
Effective permeability, k = 8.2 md

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- Fall '19