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ϕ
eff
, deg
0
observed
-15
-30
-45
-60
T, s
1/2
1
3
5
7
10
30
Fig. 1.10
Violation of the dispersion relation in MTS-6; solid line - observed phase curve, broken
line - phase curve computed by (1.99)
the two-dimensional problem for the regional inhomogeneity,
R
, has been solved
numerically by program of Wannamaker et al. (1987), while the real-valued elec-
tric distortion tensor [
e
] has been determined from the well-known problem on a
cylinder in the stationary uniform electric field (Smythe, 1950). Introduce polar
coordinates
r
,
with angle
measured clockwise from the
x
-axis. At an arbitrary
site O(r,
)wehave
1
−
a
2
a
2
−
r
2
m
cos 2
r
>
a
r
2
m
sin 2
r
>
a
e
xx
=
e
xy
=
1
+
m
r
<
a
0
r
<
a
(1
.
100)
1
a
2
r
2
m
sin 2
a
2
r
2
m
cos 2
−
r
>
a
+
r
>
a
e
yx
=
e
yy
=
0
r
<
a
1
+
m
r
<
a
,
where
=
L
−
1
m
L
+
1
.
Figure 1.12 demonstrates the apparent resistivity and impedance-phase curves
obtained in the immediate vicinity of the cylinder L. Note that, relative to the
cylinder, the
x
y
- and
x
y
-curves are oriented in a direction close to the radial
one, while the
y
x
-curves are oriented in a direction close to the
tangential one. It is remarkable that the near-radial
y
x
- and
x
y
-curve lies three decades
