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Fig. 2.5 Geometry of the source model (length L , width W , Burger's vector D, dip angle δ ,rake
angle θ , angle between Burger's vector D and the fault plane γ )
the foot-wall side block. Elementary dislocations U 1 , U 2 , and U 3 are defined so as to
correspond to strike-slip, dip-slip and tensile components of arbitrary dislocations.
The tensile component U 3 is normal to the fault plane.
A dislocation is determined by four angles: the strike angle
ϕ
(clockwise
from North), the dip angle
between
Burger's vector D and the fault plane. Elementary dislocations U 1 , U 2 and U 3
are linked to Burger's vector in the following way: U 1 =
δ
, the rake (slip) angle
θ
and the angle
γ
|
D
|
cos
γ
cos
θ
, U 2 =
|
D
|
.
The final results are condensed into compact forms using Chinnery's notation
cos
γ
sin
θ
, U 3 =
|
D
|
sin
γ
||
to represent the substitution
f (
ξ
,
η
)
||
= f ( x , p )
f ( x , p
W )
f ( x
L , p )+ f ( x
L , p
W ) .
(2.21)
For strike-slip
) + arctan ξη
+ I 1 sin
ξ
U 1
2
q
R ( R +
u x =
δ
,
π
η
qR
yq
R ( R +
U 1
2
) + q cos
δ
u y =
+ I 2 sin
δ
,
(2.22)
π
η
R +
η
dq
R ( R +
U 1
2
) + q sin
δ
u z =
+ I 4 sin
δ
.
π
η
R +
η
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