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PGE 323
Homework#6
due April 18, 2008
Pope
1. Derive a mass balance on the gas for three dimensional, three phase flow of gas, oil
and water in a reservoir using Cartesian coordinates.
Assume immiscible flow without
any mass transfer between the phases so the gas, oil and water have a fixed composition.
Use the same formal procedure as in the class notes and show all detailed steps.
2. By definition, a Black Oil is oil that can be modeled with just two pseudo components:
a solution gas pseudocomponent and a stock oil pseudocomponent.
The gas pseudo
component partitions between the gas phase and the oil phase as a function of pressure.
The conventional way of representing that relationship is to plot the solution gasoil ratio
Rs in SCF of solution gas per STB of oil as a function of pressure. You studied such PVT
data in PGE 312 and saw examples in the textbook "The Properties of Petroleum Fluids"
by William McCain. The gas pseudocomponent is conserved because it is equivalent to
the number of moles of gas (divide by 379 SCF/lbmole).
Derive a mass balance on the
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 Spring '10
 Johns

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