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Fig. 12.1
curve
( solid line ) with curves computed from various equivalent solutions ( dashed line ); 1 - initial
approximation is a homogeneous medium, 100 layers; 2 - initial approximation is a homogeneous
medium, 60 layers; 3 - initial approximation is an alternating sequence of conductive and resistive
layers, 100 layers; 4 - initial approximation is an alternating sequence of conductive and resistive
layers, 60 layers. ( b )The S -distributions. ( c ) Approximation of the average S -distribution by a bro-
ken line and determination of resistivity of the fourth layer,
Interpretation of a
curve using the S -method. ( a ) Approximation of a
A
A
=
h 4
/
S 4 .( d ) Six-layer geoelectric
4
strata determined from the average S -profile
12.3.3 Correcting Quasi-One-Dimensional Inversion
If the misfit (12.9) is too large, the quasi-one-dimensional solution ˜
( x
,
y
,
z ) can be
improved by using a convergent iterative procedure.
At the first iteration, we follow (Barashkov and Dmitriev, 1990; Oldenburg and
Ellis, 1993) and write
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