Page 211 - Reservoir Formation Damage

192 Reservoir Formation Damage

Then, the solution of Eqs. 10-35 and 36 yields:

(10-37)

A substitution of Eq. 10-37 into Eq. 10-29 leads to the following
expression for the area occupied by the surface deposits

(10-38)

Substitution of Eqs. 10-10 and 38 into Eq. 10-28 yields the following
diagnostic equation:

l/2
(K/K 0) =\-C 5t (10-39)
in which the empirical constant is given by

(10-40)

Single pore blocking occurs when the size of the particles in the
injected fluid are comparable or bigger than the size of the pore con-
strictions. A substitution of Eqs. 10-12, 13, and 14 into Eq. 10-28 yields
the following diagnostic equation:

K/K 0=l-C 6t (10-41)

in which the empirical constant is given by:

(10-42)

Cake formation near the inlet face of the porous media occurs when
the particles in the injected solutions are large relative to the pore size
and at high a concentration. Combining Eqs. 10-22 and 17 yields the
following diagnostic equation:

(10-43)

in which

(10-44)