Page 182 - Petrophysics 2E

PERMEABILITY-POROSITY RELATIONSHIPS 155

1Oooo

1000

0.1

0.01
0.1 1 10 100 1000
Mean Hydraulic Radius, (k&)'=
Figure 3.40. Relutiomhip between vertical pmeabllity and mean bydraulic radius
in TAGI formation (Kaoltnite-Illite).

(b) High percentage of Illite:
kv = 0.049 (E) (3.107)
1.3939

Permeability in equations 3.106 and 3.107 is in mD. The slope of the
straight line decreases with increase in Illite content. A good fit (R2 =
0.77) for both samples having equal Kaolinite and Illite and the sample
having a high percentage of Illite is also evident.
Other correlations have also been established by plotting vertical
permeabilityversus (1 - Vsh)@(Figure 3.41) and (Figure 3.42)
to show the impact of shale and grain size on the prediction of vertical
permeability. The following correlations have been developed:

(a) Equal contents of Kaolinite and Illite:
kv = 0.1283 ((1 - vsh) (E))
1.9658
kv = 7.7445 (dg (e))

1 .so09