Page 114 - Reservoir Formation Damage

Permeability Relationships 97

8
8.91xl0 T
(5-88)
v is the kinematic viscosity of the fluid. Determine the expression
of the average permeability to be used instead of Eq. 5-49, which
considers N nd = 1 for Darcy flow.
Gdanski and Shuchart (1998) have correlated their permeability vs.
porosity measurements obtained during sandstone-acidizing by:

1/3.5 (5-89)
-2

They pointed out that Eq. 5-89 is remarkably similar to Civan's
(1994) equation (Eq. 5-58). Note that, for permeability enhancement
by acid stimulation, Eq. 5-58 can be written as:

(5-90)

By comparison of Eqs. 5-89 and 5-90, show that the parameter
values are K pg = 0.01 md, (^ = 0, a = 15 and n { = 0.29 (Civan, 2000).
3. Show that Eq. 5-60 can be derived by a truncated series approxi-
mation of Eq. 5-59 for n 2 <0 and £ np/$ npo«l (Civan, 1994).

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