Open AccessA continued fraction approach to the inverse problem of electrical conductivity
Author(s) -
Hooshyar M. A.,
Razavy M.
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb04987.x
Subject(s) - conductivity , electrical resistivity and conductivity , inverse problem , attenuation , fraction (chemistry) , constant (computer programming) , mathematical analysis , electrical impedance , earth's magnetic field , inversion (geology) , inverse , mathematics , materials science , physics , geology , geometry , chemistry , magnetic field , optics , computer science , paleontology , organic chemistry , quantum mechanics , structural basin , programming language
Summary. The problem of determination of the electrical conductivity of the Earth from the geomagnetic induction data is formulated as that of finding the coefficients of the continued fraction expansion of a certain rational fraction representation of the total response (or impedance) of the medium at the surface when this quantity is given for N frequencies. The coefficients of expansion are related to the conductivities of N layers of constant attenuation, where, within each layer the conductivity is assumed to be constant. Thus in this approach the conductivity profile resulting from the inversion of the response function is given as a series of step functions.