Geoscience Reference
In-Depth Information
280
Multiscale Geomechanics
Figure 9.7.
Comparison of some empirical relations given for
G
max
at a mean pressure of 200 kPa
line (compressibility index
C
c
or
λ
). When a normally consolidated soil passes from a
state (
e
0
,p
0
,p
c0
)to(
e,p
,p
c
), the following relations are valid:
1+e
0
ln
p
c
= ε
v
+ ε
v
= −
e−e
0
λ
ε
v
1+e
0
=
p
c0
1+e
0
ln
p
c
λ
1+e
0
ln
p
c
κ
p
c0
+
β
ln
p
c
if
n
e
=1
then
=
p
c0
p
c0
=
p
0
1−n
e
−p
1−n
e
(1−n
e
)K
1−n
e
ref
1+e
0
ln
p
c
+
β
ln
p
c
λ
if
n
e
=1
then
p
c0
p
c0
K
∗
ln
p
c
p
c0
+
β
ln
p
c
1
=
p
c0
1+e
0
ln
p
c
k∗
p
c0
+
β
ln
p
c
=
p
c0
where
K
∗
and
k
∗
are equivalent moduli giving the same elastic strain with a logarithmic
law in the range of the considered pressure.
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