Page 324 - Principles of Applied Reservoir Simulation 2E

Part V: Technical Supplements 309

dP.
'n+1 tD
P. tD (29.7)
dt
D

=
= 0.00633 ^-- AQPAR1
K t

p = 2n$hcrs = AQPAR2 (29.9)
and

c = c r + c w (29.10)

The quantities f fl and P tD are dimensionless time and pressure, respectively, with

= K tt
t D
and P tD is the Carter-Tracy influence function for the constant terminal rate case.
The functions P lD andP', D are numerically represented by regression equations
[Fanchi, 1985]. All remaining parameters are defined as follows:
1
c r - rock compressibility (psi' )
1
= water compressibility (psi" )
c w
h ~ aquifer net thickness (ft)
k ~ aquifer permeability (md)
= external aquifer radius (ft)
r e
r w = external reservoir radius (ft)
s = 0/360° where 6 is the angle of aquifer/reservoir interface
= cumulative water influx at time level«, SCF
W e
[i = aquifer water viscosity (cp)
(f) = aquifer porosity