In this paper, we presented analytic expression for a“separation”of a reference plane which is separated by a fault movement.
When a reference plane is separated by a fault movement of a net slip
v, the plane is expressed by
e⋅ (
x-
xF) =0 in the foot wall, and by
e⋅ (
x-
xF) =
e⋅
v in the hanging wall, where
e is an unit vector normal to the reference plane and
xF is a location of the outcrop of the reference plane in the foot wall. If we find two outcrops of the same plane in both sides of a fault (
xF in the foot wall and
xH in the hanging wall), we can know a component of a net slip
v in the direction paralell to the vector
e;
e⋅
v=
e⋅ (
xH-
xF) or (
e⋅
sf)
S+ (
e⋅
df)
D=
e⋅ (
xH-
xF), where vectors
Sf and
df are unit vectors paralell to the strike and dip of the fault plane, respectively, and
S and
D are strike slip and dip slip compoments of a net slip
v.
If we observe two sets of“separation”, we can konw the net slip
v.
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