Page 78 - Reservoir Formation Damage

Petrography and Texture of Petroleum-Bearing Formations 61

where, D denotes the pore diameter, V represents the volume of pores
whose diameter is greater than D, d is the fractal dimension (typically
2 < d < 3), e is the Euclidean space dimension (e = 3) and (3 is a positive
constant. Thus, integrating Equation 3-23, Perrier et al. (1996) derived
the following expression for the pore size distribution:

, 0<d<e (3-24)

in which V 0 is the constant of integration. Perrier et al. (1996) then
considered a range of pore size as £> min <D< D max . Thus, applying Equa-
tion 3-24, the total pore volume, V , is given by (Perrier et al., 1996):

Vp = V 0-V%£ 0-25)

Because V p=0 for D = D max, Equation 3-24 leads to (Perrier et al.,
1996):

(3-26)

Textural Parameters

Nolen et al. (1992) have described the textual appearance of reservoir
formation by four parameters:

1. Median grain size, defined as:

"max
= J dF(d)d(d]
d g

2. Grain shape factor, defined as:

in which volume and volume based diameter, d v, are given, respec-
tively, by:

ro/
(3-29)