Information Technology Reference
In-Depth Information
Fig. 4.1
Tipper dispersion
relations in a two-
dimensional model;
triangle
- observation site; Re
W
:
filled circles
and
solid line
-
synthetic values of real tipper
and their interpolation, Im
W
:
stars
and
solid line
-
synthetic values of imaginary
tipper and transform (4.11) of
real tippers (Marcuello et al.,
2005)
0
20
40 km
0
50
Ohm
.
m
5
Ohm
.
m
100
Ohm
.
m
200 Ohm
.
m
20
km
W
0.8
0.4
0.0
ImW
-0.4
ReW
-0.8
T, s
1/2
0.1
1
10
100
where
j
zy
and pv denotes a principal value of an integral in the Cauchy
sense (Marcuello et al., 2002; Marcuello et al., 2005).
Figure 4.1 presents a two-dimensional model testifying to the adequacy of the
dispersion relations between the real and imaginary components of the Wiese-
Parkinson matrix. The transformation (4.11) of Re
W
is in good agreement with
Im
W
. The similar agreement has been observed in a three-dimensional synthetic
model, which contains an inclined conductive layer.
The consistency between the real and imaginary components of the Wiese-
Parkinson matrix may suggest that they embody the same (or almost the same)
information on the Earth conductivity.
In parallel with synthetic models, Marcuello, Queralt and Ledo applied
the transformations (4.11) and (4.12) to magnetovariational data collected in
the northern Iberian Peninsula. At many sites the field data met the disper-
sion
=
zx
,
relations,
but
there
were
sites,
at
which
the
dispersion
relations
were
violated.
