Page 251 - Reservoir Formation Damage

Single-Phase Formation Damage by Fines Migration and Clay Swelling 231

values for the various phenomenological parameters to match the measure-
ments. The simulation results are shown in Figure 10-26. The fact that
their model reasonably predicts the experimental observations indicates
that their model based on the plugging and nonplugging pathways concept
is valid for their experimental systems.
When the plugging pathways are eliminated by particle retention, the
flow is diverted to the nonplugging pathways. Then the particle retainment
continues in the nonplugging pathways as pore surface deposition until
a dynamic equilibrium is attained. At this condition, Eq. 10-112 yields
the following expression for the equilibrium amount of the deposits in
the nonplugging pathways as:

s
3 * 0.04
100 200 300 400 500
PORE VOLUMES

Figure 10-26. Numerical simulation of the deposition and entrainment experi-
mental results presented in Figure 10-25 (after Gruesbeck and Collins, ©1982
SPE; reprinted by permission of the Society of Petroleum Engineers).