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PGE 323
Test#1 Open notes
February 18, 2008
Pope
1. (30%) The most general form of Darcy's law we use in this course is:
(
29
rj
j
j
j
j
k
u
k
P
g D
= 
ρ
μ
r
r
(a ) Under what condition is this equation not valid?
(b) Show how to simplify this equation step by step assuming single phase flow in an
isotropic, onedimensional porous medium with a constant dip angle.
(c) Does the simplified equation apply to compressible flow?
Unsteady state flow?
Variable permeability? Pressuredependent viscosity? Variable temperature?
2. (70%) In homework#3, problem 2, you used point sources and sinks to model a
horizontal injection well and a horizontal production well. In part c, you used image
points to show how upper and lower boundaries could be modeled. Boundaries to the left
and right of the original wells are added in this problem.
(a) Assume the left boundary is a plane parallel to the yz plane at x=L and the right
boundary is parallel to the yz plane at x=2L.
Make a sketch showing all of the
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This note was uploaded on 05/15/2011 for the course PGE 323 L taught by Professor Johns during the Spring '10 term at University of Texas.
 Spring '10
 Johns

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