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Fig. 7.10 Longitudinal and transverse apparent-resistivity and impedance-phase curves over the
left conductive segment in the model shown in Fig. 7.9; y -distance to the boundary between seg-
ments; ˜
,
-analytical solution,
, and
, -numerical solution by means of the finite
˜
1
, 1
element method, ˙
n ,
n - locally normal solution. Model parameters:
˙
=
10 Ohm
·
m
=
10 5
100 Ohm
·
m
,
h 1 =
1km
, 2 =
Ohm
·
m
,
h 2 =
99 km
, 3 =
0
Figures 7.10 and 7.11 show the apparent-resistivity and impedance-phase curves
obtained over the left and right segments at different distances from the con-
ductance discontinuity.
First of all note that within the
-curves
plotted from the analytical and numerical solutions agree fairly well. The ascending
branches of the
S 1 - and h -intervals the transverse
-curves are not distorted. They coincide with ascending branches
of the locally normal
-curves
n -curves. However, the descending branches of the
are distorted by the S -effect. They are shifted from the locally normal
n -curves,
down over the left conductive segment and up over the right resistive segment. The
maximum S -effect is observed at the boundary between the segments. With distance
from the conductance discontinuity the S -effect monotonously decreases. It vanishes
at y
3000 km over the left segment ( d
≈−
=
1000 km) and at y
1200 km
over the right segment ( d
316 km). These estimates are in a good agreement
with Table 7.1. Now have a look at the transverse phase curves. In passing to the
h -interval the
=
-curves, plotted from the analytical and numerical solutions, merge
together and with lowering frequency they approach the locally normal
n -curves.
A remarkable property of the S -effect is that the drastically shifted branches of the
-curves correspond to the slightly distorted branches of the
-curves.
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