Page 327 - Principles of Applied Reservoir Simulation 2E

312 Principles of Applied Reservoir Simulation

Oil
/""I = /"^ I ® O \
y k y k\ . ,„ (30.8)
0
g
Water

, = O J —— — f l f ) Q\
a wk X'gkl \ I n \J\J.y)

Solution gas in both oil and water is neglected when a gas production rate is
specified. This is a reasonable assumption for wells producing primarily free
gas.

Case 4: Total Production Rate Specified
When the total reservoir voidage rate Q T is specified, we first compute
the phase mobility ratio for all connections:
Oil Mobility Ratio

*( K o }
a
oT = S I ^ + ^ + ^ (30.10)

Water Mobility Ratio
K
( A... 1

Gas Mobility Ratio
K
a ( * }
gT ~ ^ 7 T T~ (30.12)
* =1 \ ^o + ^w + ^gj k

We now compute the total oil rate
x-v
( T^^. \ \^~ (30.13)

where