Environmental Engineering Reference
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Hydrocarbon Σ hy
φ (1− S w )
φ
φ S w
Water Σ w
Matrix Σ ma
(1− φ −V sh )
Shale Σ sh
V sh
Fig. 11.23 Shaly formation schematic
Question #11.5. Shaly Formation
Given: ʣ Log = 30.0 cu.
ʣ ma = 10 cu.
ʣ hy = 22 cu.
ʣ w = 100 cu.
˕N = 37 %.
˕N sh = 35 %.
V sh = 20 %.
ʣ sh = 35 cu.
Find:
(a) ˕ = _______________ .
(b) S w = _______________ .
(c) S w = _______________ , if you had assumed this was clean instead of a shaly
formation.
Note that the equation for ʣ Log in shaly formations could be rearranged to read:
(
) +
(
) +
(
)
(
)
SSfSfSf
=
1
-
S
+
1
-
S
V
S
-
S
+
V sh sh ma
Shalecomponent
SS
-
Log
ma
w
w
hy
w
sh
sh
ma
Clean component
Thus, an equally valid method of computing S w would be to correct ʣ Log for shale
using the relationship:
(
)
SS SS
cor
=
-
V
-
.
Log
sh
sh
ma
The value ʣ cor can then be used in the normal equation for estimation of water satu-
ration in clean formations. Needless to say, the accuracy of S w results in shaly for-
mations will be reduced due to uncertainties about the exact values of ˕ , V sh , and ʣ sh .
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