Page 243 - Reservoir Formation Damage
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Single-Phase Formation Damage by Fines Migration and Clay Swelling 223
The average concentration was estimated as the logarithmic mean value
of the injection and the effluent suspension concentrations according to:
a,-- (10-176)
In
(O/
The rate parameters, k p and k' e, in Eq. 10-91 were determined for
different injection velocities using the method of least squares with the
values calculated by Eqs. 10-170 and 174-176. The results presented in
Figure 10-18 indicate that the retention rate coefficient, k p, decreases
and the entrainment rate coefficient, k e, increases with the injec-
tion velocity.
These calculations were repeated for different length porous media
and the results are summarized in Figure 10-19. These values can be
extrapolated to zero core length, however, again the quality of data is
not good.
0.5 1 1.5
Volumetric flux, cm/s
Figure 10-18. Correlation of the Cernansky and Siroky (1985) data for
variation of the rate coefficients by volumetric flux.
