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Let the magnetic field be measured simultaneously at two sites: at an arbitrary
observation site and at a base (reference) site B selected in the area with the nor-
mal magnetic field. Assume that the observations result in four magnetovariational
response functions:
1) the Schmucker matrix
=
S
zx
S
zy
H
z
[
S
z
]
H
N
τ
[
S
z
]
H
z
(
r
)
=
(
r
)
=
(
r
B
)
,
(4
.
84)
2) the horizontal Schmucker tensor
S
xx
S
xy
S
yx
S
yy
H
A
τ
[
S
τ
]
H
N
=
=
,
.
[
S
z
]
(
r
)
(
r
B
)
(4
85)
τ
3) the Wiese-Parkinson matrix (the tipper)
=
W
zx
W
zy
H
z
[
W
]
H
z
(
r
)
=
(
r
)
=
[
W
]
H
τ
(
r
)
,
(4
.
86)
4) the horizontal magnetic tensor
M
xx
M
xy
M
yx
M
yy
H
N
τ
H
A
τ
[
M
]
H
N
τ
[
M
]
=
H
τ
(
r
)
=
(
r
B
)
+
(
r
)
=
(
r
B
)
.
(4
.
87)
Here the superscripts N and A indicate the normal and anomalous magnetic fields.
The
matrices
S
z
,
S
τ
,
W
,
M
that
problem
is
to
find
the
define
P
in the absence of the prism
P
and the matrices
the effect of the prism
S
z
,
S
τ
,
W
,
M
that define the effect of the prism
P
in the absence of
the prism
P
. These matrices are said to be partial.
Introduce arbitrary measurement coordinates
x
,
y
as well as the coordinates
x
,
y
and
x
,
y
tied with prisms
P
and
P
:the
x
- axis is oriented along the strike of
the prism
P
and the
x
- axis is oriented along the strike of the prism
P
.Azimuths
of the prism strike,
and
, are measured clockwise from the
x
-axis.
In the coordinates
x
,
y
we have
00
0
S
z
=
0
S
zy
S
τ
=
.
(4
.
88)
S
yy
In the coordinates
x
,
y
we have
00
0
S
z
=
0
S
zy
S
τ
=
.
(4
.
89)
S
yy
,
In the measurement coordinates
x
y
we have:
