Page 270 - Reservoir Formation Damage

250 Reservoir Formation Damage

where k tjj are some empirical coefficients. They considered that there is
a minimum characteristic value of (/.) . for which the r pore throat
V^'/mm
blocking happens. Thus,

(11-44)

Colloidal Mobilization

The volumetric rate of colloidally induced surface particle release can
be expressed as, by modifying the formulations by Khilar and Fogler
(1983) and Civan (1996):

d
QJJJS = ^ejjjs/dt = (11-45)

subject to the initial condition

eejjjs=e°ejjjs> ' = 0 (H-46)

Liu and Civan (1996) assumed r\ e =1 and /) y =1. Note that

=0 when c c
' J< crj
Hydraulic Mobilization

The volumetric rate of surface particle mobilization by the fluid
shearing force can be expressed by modifying the formulations by Khilar
and Fogler (1983) and Civan (1996) as:

3
S^ e^ f Sij-i crJ (11-48)

subject to the initial condition

Liu and Civan (1993, 1995, 1996) assumed v\ e = 1 , f js = 1 and $ * constant
and used (i y - i crj J ~ \Uj - u crjj. Note

&,.,.„ = 0, when I.< i crj . or u, < u crJ . (11-50)
hjJjS
J
J