Page 154 - Reservoir Formation Damage
P. 154
136 Reservoir Formation Damage
(7-44)
= («£
The permeability and inertial flow coefficient for porous materials are
determined by means of laboratory core flow data and thus correlated
empirically (Civan and Evans, 1998). Liu et al. (1995) give:
8
8.91xl0 T
(7-45)
where (3 is in ft \ k is in mD, and 0 is in fraction.
The energy balance equations for the water, oil, gas, and solid phases
are given by:
(7-46)
<x=l
q j and q ja denote the external and interface heat transfer to the phase
j per unit volume of phase y; & y is the thermal conductivity of phase j,
Note that the enthalpy Hj and internal energy Uj per unit mass of phase
j are related according to:
H U + (7-47)
J= J Pj/?J
Thus, Eq. 7-46 can also be written as:
(7-48)
oc=l
When the system is at thermal equilibrium (i.e. T w = T 0 = T g = T s = T}
then Eq. 7-48 can be written for each phase and then added to obtain
the total energy balance equation as:
