Page 99 - Reservoir Formation Damage

82 Reservoir Formation Damage

(5-8)
n

(5-9)

A" is the intrinsic permeability of porous media. The cross-sectional area
of porous media open for flow can be expressed by:

(5-10)
A
P =
Therefore, equating Eqs. 5-9 and 10, and substituting Eqs. 5-1 and 10
results in the following relationship for the mean hydraulic tube diameter:

(5-11)
D h =
Equating Eqs. 5-6 and 11 leads to the following Carman-Kozeny equa-
tion (1938):

(5-12)

Two alternative forms can also be derived. Substitution of Eq. 5-7 into
12 yields:

(5-13)
6V2rll-(|)

or substituting Eq. 5-5 into Eq. 5-12 and then rearranging yields a power
law type relationship given as (Kozeny, 1927):

1
K = (5-14)
2TZ2

Based on the analysis of data by Jacquin (1964), Adler et al. (1990)
suggested a power low correlation of permeability with respect to poros-
ity as:

(5-15)