Information Technology Reference
In-Depth Information
from which
⎧
⎨
1
1
S
1
S
1
e
y
f
f
g
f
Z
N
−
−
y
≤
0
Z
⊥
(
y
)
=
(7
.
66)
1
1
S
1
S
1
e
−
y
⎩
f
f
g
f
Z
N
−
−
y
≥
0
and
⎧
⎨
S
1
S
1
y
1
e
2
f
f
g
f
Z
⊥
(
y
)
n
˙
1
−
−
y
≤
0
2
⊥
(
y
)
=
=
1
S
1
S
1
e
−
y
(7
.
67)
2
⎩
o
f
f
g
f
n
¨
1
−
−
y
≥
0
,
where ˙
n
and ¨
n
are locally normal apparent resistivities for the left and right
segments:
Z
N
Z
N
2
o
=
2
o
=
o
h
2
o
h
2
n
=
˙
¨
n
=
2
.
1
o
S
1
h
2
1
o
S
1
h
2
2
−
i
−
i
One can readily see that within the
S
1
-interval (at the ascending branch of the
⊥
-curves) the distortions of the transverse impedance and apparent resistivity are
small if not negligibly small. Let
o
S
1
h
2
>>
1 and
o
S
1
h
2
>>
1. Then
S
1
S
1
f
f
≈
1
,
whence
⎧
⎨
⎧
⎨
1
S
1
1
o
(
S
1
)
2
Z
N
=
y
≤
0
n
=
˙
y
≤
0
Z
⊥
(
y
)
⊥
(
y
)
≈
≈
(7
.
68)
⎩
⎩
1
S
1
1
o
(
S
1
)
2
Z
N
=
y
≥
0
n
=
¨
y
≥
0
.
⊥
-curves) the distor-
tions become stronger. Given the large difference between
S
1
and
S
1
, we observe
the dramatic
S
-effect, which manifests itself in the static shift of the descending
branches of the apparent-resistivity curves and scarcely affects the phase curves.
If
But within the
h
-interval (at the descending branch of the
o
S
1
h
2
<<
1 and
o
S
1
h
2
<<
1, then
f
≈
f
≈
1. Replacing the galvanic
parameters
g
,
g
by adjustments distances
d
=
/
g
,
d
=
/
g
, we write
1
1
