Page 177 - Petrophysics 2E

1 50 PETROPHYSICS: RESERVOIR ROCK PROPERTIES

10000

1000
I
I I 11lllll
100

1
10
c
1

0.1
1 10 100 1000
Mean Hydraulic Radius, (kH/+)”*
Figure 3.35. Relationship between mean hydraulic radius d m and vertical
permeability in lower Devonian sandstone from Illizi Basin, Algeria.

Relationship Between KH and K,

Clean Sandstone Formations
Tiab et al. correlated horizontal permeability and vertical permeability
for the lower Devonian sandstone from Illizi Basin, Algeria, as shown in
Figure 3.35, and obtained the following correlation [44,46] :
kv = 0.0429 (E) (3.97)
2.4855

where:

k, = vertical permeability, mD.
kH = horizontal permeability, mD.
= effective porosity, fraction.

This equation indicates a strong relationship detween the mean ..ydraulic
radius and vertical permeability. Figure 3.36 indicates an excellent
correlation between the calculated values of kv, using Equation 3.97,
and core-measured kv .

Figure 3.37 shows a plot of core vertical permeability values versus
the product of the mean grain diameter and mean hydraulic radius.