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If the reservoir has more adjacent aquitards with different conditions their effects
accumulate in the aquifer, and they can be summarised in the well-function, as
follows
2
)
f
D
&
dy
m
mi
W
(
r
,
t
)
W
(
u
,
)
,
)
exp(
y
m
)
(14.13d)
m
m
4
y
y
u
with
m
referring to the aquitard and
i
to its condition. Formula (14.13d) shows
that the effect of time-dependent consolidation or leakage is embodied in the factor
f
. For
f
= 1 equation (14.13d) becomes equal to the Hantush well-function (14.11).
It suits only
c
v
=
&
, which corresponds to a rigid porous aquitard.
Tia Juana
Lagunillas
Bachaquero
Figure 14.11 Land subsidence by gas/oil withdrawal from about 1600 wells
The corresponding land subsidence
w
is found by combining the aquifer
compaction and the consolidation in the aquitards
/
,
Q
k
'
H
'
tanh(
/
2
D
w
(
S
)
W
(
u
,
)
,
)
(14.14)
-
*
m
4
kH
c
/
2
.
+
m
v
m
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