Page 341 - Principles of Applied Reservoir Simulation 2E
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326 Principles of Applied Reservoir Simulation
one equation remaining for the unknown pressure P 0. We proceed by using the
following shorthand for Eqs. (32.12) through (32.14):
Oil
Water
d
.
r
L = — f 4>-Jt O (32.19)
a* I *J
Gas
a SL R.-S^ RS
"g
"so~o
I. = (32.20)
where
L=V-K- — VP+CG- —, ? (32 21)
/)
f *»! JM' * JU J. I
rt
__
/)
« A
r = v • K • -
and
L 0 - V • K • g + so ° + *«A ) CG - -^- (32.23)
g R R
L \ "g "° w /
Recognizing that formation volume factors, gas solubilities, and porosity
are functions of pressure, we use the chain rule to expand the accumulation terms
(time derivatives) of Eqs. (32.18) through (32.20):
Oil
Q\ O i3 n O CD /i T ^ "*"^
