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PGE 323L
HW#3
due April 2, 2009
Pope
1.
(a) Derive a 3D mass balance for the gas pseudo component in cylindrical coordinates
assuming the Black Oil Model applies.
The Black Oil Model assumes gas partitions
between the oil and gas phases as a function of pressure i.e. the solution gas is a function
of pressure. Make no other assumptions.
(b) Derive the diffusivity equation for the gas pseudo component starting with the mass
balance from part (a) and assuming Darcy's law applies and the permeability is isotropic.
Make no other assumptions.
(c) Simplify the diffusivity equation from part (b) assuming radial flow and all of the
assumptions we used to derive BuckleyLeverett theory for twophase flow of gas and oil
at residual water saturation. Show and explain each step.
2. The BuckleyLeverett equations for radial flow of oil and water are given in the
solution key to homework problem #6 (2006) posted on Bb. Use this solution to answer
the following questions assuming the initial water saturation in the reservoir is Swr and
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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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