Page 101 - Reservoir Formation Damage

84 Reservoir Formation Damage

The Modified Carman-Kozeny Equation
for Porous Media Altered by Deposition

Based on the Carman-Kozeny model, Eq. 5-14, Adin's (1978) cor-
relation of experimental data leads to a permeability-porosity model as:

1/2'
(5-19)

where the volumetric fraction of bulk porous media occupied by the
deposits is given by:

e = § o - <|) (5-20)

This equation facilitated the following expression for the porosity reduc-
tion by deposition:

-*- (5-21)

The alternative empirical expression proposed by Arshad (1991) can
be modified as (Civan, 1998):

1
— = 1 - a — (5-22)

where oc and n are some empirical parameters. Arshad's equation accounts
for the formation of the dead-end pores during deposition, which do not
conduct fluids.

The Flow Efficiency Concept

Rajani (1988) concluded that permeability function can be separated
into and expressed as a product of a function incorporating the pore
geometry and a function of porosity as:

(5-23)