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96 Reservoir Formation Damage
(5-82)
where T and T o denote the temperature and a reference temperature,
respectively, and a and b are empirical parameters, Civan (2000) derived:
(5_ 83)
and
K
(5-84)
Civan (2000) verified this formulation using the Okoye et al. (1990) data.
Exercises
1 . The plugging and nonplugging parallel pathways model by Gruesbeck
and Collins (1982) assumed Darcy flow. However, deposition and
deformation in porous media reduces the flow passages causing the
fluids to accelerate. Therefore, Darcy's law is modified as following,
considering the inertial effects (Civan, 1996):
(5-85)
where K is the permeability, p is the fluid pressure, and the non-
Darcy number is given by:
(5-86)
in which the porous media Reynolds number is given by:
l
Re = v~ uK$ (5-87)
and P is the inertial flow coefficient given by an appropriate empir-
ical correlation, such as by Liu et al. (1995):
