Page 319 - Reservoir Formation Damage

Cake Filtration: Mechanism, Parameters and Modeling 299

assumed the same. Then, adding Eqs. 12-117 and 118, and rearranging
and solving, yields (Civan, 1999b) for Darcy flow ($ f =|3 C =0j:

u
u c= f = « C =-Y/P

and for non-Darcy flow:

M slurry ~P +
M_ = U f = M,, =
2a

in which

(12-120)

w c _i_ e w
. + i=." (12-121)

Y = _(p c _p e ) (12-122)

Although the preceding approach yields a reasonably good accuracy, a
more rigorous treatment should facilitate

(12-123)

Forchheimer's law (1901) for the radial flow case is given by

(12-124)

The volumetric flux and flow rate are related by

(12-125)
2n rh