Information Technology Reference
In-Depth Information
Thus, according to (4.10),
ske
w
m
v
= |
tan
|
,
(4
.
17)
where
is an angle between the real and imaginary tippers.
Turn again to the two-dimensional model with strike along the
x
-axis. According
to (4.4)
=
=
Im
W
zy
1
y
.
.
Re
W
Re
W
zy
1
y
Im
W
(4
18)
Here the real and imaginary tippers are collinear, being perpendicular to the strike.
Their vector product is equal to zero,
P
1
=
Collinearity of the real and imaginary
tippers is also observed in the axisymmetric three-dimensional model: vectors Re
W
and Im
W
are oriented toward the axis of symmetry or away from it. Asymmetry of
the medium violates the collinearity of Re
W
and Im
W
.
Examples of real and imaginary Wiese-Parkinson tippers Re
W
and Im
W
for
2D and 3D-models are presented in Fig. 4.2.
0
.
2D
3D
a
b
a
b
x
x
x
x
y
y
y
y
Re
Re
Im
Re
Im
Re
Im
Fig. 4.2
The Wiese-Parkinson tippers
W
,
Vozoff tippers
V
and polar diagrams of the Wiese-
5
e
−
i
/
6
5
e
−
i
/
6
Parkinson matrix. 2 Da: [
W
]
=
[0
.
0] 2Db: [
W
]
=
[0
0
.
]3Da:[
W
]
=
[0
.
50
.
3]
5
e
i
π/
3
3
e
i
/
6
]
3Db: [
W
]
=
[0
.
0
.
