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where
∆Φ
∆k .
x 0
The amplitude maximum is displaced northward by a value on the order of
x 0 . The direction of the displacement is determined by the sign of ∂Φ/∂k .
k x -dependencies of the phases of transfer functions for electric and magnetic
fields show an appreciable difference. This also leads to a relative displacement
in the spatial distributions.
Changes of the geoelectrical parameters of the model will first affect the
E ( g )
x ( x ) dependence. On the other hand, the b ( g x ( x ) maximum po-
sition depends slightly on the ρ ( z ) variations. For example, for a cross-section
that includes a layer of high resistance ( ρ 1 =10 4 Ohm
( x )and b ( g )
y
·
m ,h 1 = 200 km;
ρ 2 =0 ,h 2 =
) and resonance period T = 100 s , the displacement of the
electric component maximum is
100 km and
30 km for the magnetic com-
ponent.
Z g tends to Z 0 for highly conductive ground if the horizontal scale is
larger than the ground skin depth (see (11.23)). Let us introduce the so-called
'apparent resistivity' ρ ap or ρ ap associated with Z 0 or Z g by
ρ ap =2 T Z g
2 .
2 ,
ρ ap =2 T
|
Z 0 |
(11.26)
ρ ap is frequency-dependent. For a frequency ω a layered geoelectrical cross-
section has the same surface impedance as the homogeneous half-space of the
resistivity ρ ap ( ω ). The applicability of the model of the plane normally in-
cident wave can be checked by comparing curves ρ ap ( T )and ρ T ( T ). Upper
panel of Fig.11.7 presents ρ ap ( T ) (solid line) and ρ ap ( T ) at observation lat-
itudes of Φ =60 (long dashed) and Φ =55 (short dashed) with resonance
periods of 100 and 46 s, respectively. The low panel of Fig. 11.7 shows phase
curves of Z 0 and Z g . It can be seen that taking into account the field's pe-
culiarities near the resonance shells results in the appearance of additional
extrema for both high-latitude and middle-latitude observations. Deviation of
ρ ap ( T )from ρ ap ( T ) reaches 30% for the high-latitude curve and is caused
by the displacement of E ( g )
y ( x )and b ( g x ( x ) with respect to each other. The
appearance of such peculiarities on curves ρ ap ( T ) should always be expected
on the FLR-frequencies of the observation point. Anomalies in ρ ap ( T )in-
crease significantly in transition to high-resistance cross-sections without a
sedimentary cover.
Pc 3,4 pulsation fields on the ground within a 500 km zone along the FLR-
shell cannot be approximated with linear functions. Here the interpretation of
MTS-observations within the framework of traditional conceptions may result
in erroneous conclusions. Special caution is needed in interpreting sounding
data on high-resistance cross-sections without a sedimentary cover. To obtain
a reliable result it is necessary to find the spatial structure of the pulsation
fields (see Sect. 11.2).
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