Zy. Zhang et Dw. Oldenburg, Simultaneous reconstruction of 1-D susceptibility and conductivity from electromagnetic data, GEOPHYSICS, 64(1), 1999, pp. 33-47
In this paper, we develop an inversion algorithm to simultaneously recover
l-D distributions of electric conductivity and magnetic susceptibility from
a single data set. The earth is modeled as a series of homogeneous layers
of known thickness with constant but unknown conductivities and susceptibil
ities. The medium of interest is illuminated by a horizontal circular loop
source located above the surface of the earth, The secondary signals from t
he earth are received by a circular loop receiver located some distance fro
m the source. The model objective function in the inversion, which we refer
to as the cost function, is a weighted sum of model objective functions of
conductivity and susceptibility. We minimize this cost function subject to
the data constraints and show how the choice of weights for the model obje
ctive functions of conductivity and susceptibility affects the results of t
he inversion through l-D synthetic examples. We also invert 3-D synthetic a
nd field data. From these examples we conclude that simultaneous inversion
of electromagnetic (EM) data can provide useful information about the condu
ctivity and susceptibility distributions.