Geology Reference
In-Depth Information
Again expressed in indefinite integral form, the Volterra integrals for the strike-slip
dislocation (9.12) give
−
ξ
1
)
u
1
U
1
=
2
r
2
4
q
2
−
2
x
3
cosθ
3tanθ
12π
(
x
1
r
3
−
ξ)
−
q
3
+
ξ)
−
R
(
R
+
Q
(
Q
+
Q
+
x
3
+
ξ
3
+
ξ)
2
4
q
2
x
3
sin
θ
Q
3
2
Q
+
q
3
+
ξ
+
−
4
q
2
q
3
x
3
sinθ
Q
3
(
Q
+
q
3
θtan
−
1
(
k
−
q
2
cosθ)(
Q
−
k
)
+
(
q
3
+
ξ)
k
sinθ
6tan
2
−
(
x
1
−
ξ
1
)(
q
3
+
ξ)cosθ
3tan
−
1
(
x
1
−
ξ
1
)(
r
3
−
ξ
)
r
2
R
3tan
−
1
(
x
1
−
ξ
1
)(
q
3
+
ξ
)
q
2
Q
+
−
,
(9.23)
sinθ
3tanθsecθln
Q
u
2
U
1
=
+
ξ
3
−
ln
R
−
ξ
12π
+
x
3
+
r
3
q
3
+
ξ
2
r
2
sinθ
R
(
R
θ)ln
Q
2
r
2
cos
θ
R
3tan
2
−
(1
+
+
+
−
ξ)
+
+
r
3
2
x
3
(
q
2
cosθ
−
q
3
sinθ)
+
q
2
(
q
2
+
x
2
sinθ)
−
2sinθ
Q
(
Q
+
q
3
+
ξ)
x
3
sin
2
x
2
−
ξ
2
2
q
2
cosθ
−
q
2
sinθ
−
θ
−
3tanθ
+
ξ
3
+
Q
+
x
3
Q
x
2
−
ξ
2
q
3
cosθ
Q
3
+
2
Q
+
q
3
+
ξ
4
q
2
q
3
x
3
sin
2
+
4
q
2
x
3
sinθ
−
θ
+
ξ)
2
,
(9.24)
Q
3
(
Q
+
q
3
cosθ
ln
R
u
3
U
1
=
r
3
−
ξ
+
1
θ
ln
Q
q
3
+
ξ
3tan
2
12π
+
+
+
x
3
+
ξ
3
3tanθsecθln
Q
2
r
2
sin
R
+
q
2
+
x
2
sinθ
Q
−
+
+
2sinθ
2
r
2
cosθ
R
(
R
4
q
2
x
3
sin
2
θ
−
2(
q
2
+
x
2
sinθ)(
x
3
+
q
3
sinθ)
−
r
3
−
ξ)
+
+
Q
(
Q
+
q
3
+
ξ)
x
3
+
ξ
3
−
q
3
sinθ
+
4
q
2
x
3
sinθ
Q
3
2
Q
+
q
3
+
ξ
4
q
2
q
3
x
3
cosθsinθ
−
+
ξ)
2
.
(9.25)
Q
3
(
Q
+
q
3
An actual slip dislocation may combine both dip-slip and strike-slip components,
as shown in Figure 9.2. The relative magnitudes of the two components are given
by the
rake
, or pitch angle, measured positive from the down-dip direction to the
total slip vector.
The programme DISPF.FOR calculates the displacement fields of inclined faults
for both dip-slip and strike-slip faults, or combinations thereof, as indicated by
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