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Three‐dimensional inversion of multitransmitter electromagnetic data based on the localized quasi‐linear approximation
Author(s) -
Zhdanov M. S.,
Tartaras E.
Publication year - 2002
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1046/j.1365-246x.2002.01591.x
Subject(s) - inversion (geology) , integral equation , inverse transform sampling , synthetic data , electromagnetic field , inverse problem , linear approximation , mathematical analysis , geophysics , physics , computer science , algorithm , mathematics , geology , optics , seismology , surface wave , nonlinear system , quantum mechanics , tectonics
SUMMARY Three‐dimensional (3‐D) electromagnetic (EM) inversion is increasingly important for the correct interpretation of EM data sets in complex environments. To this end, several approximate solutions have been developed that allow the construction of relatively fast inversion schemes. We have developed a localized quasi‐linear (LQL) approximation that is source‐independent and, therefore, appropriate for multisource array‐type surveys, typical in many geophysical applications, such as airborne EM, cross‐well tomography, and well logging. This method is based on the assumption that the anomalous electric field within an inhomogeneous domain is linearly proportional to the background electric field through an electrical reflectivity tensor λ^ . This tensor is determined by solving a source‐independent minimization problem based on the integral equation for the scattering currents. We have also developed a new, fast 3‐D EM inversion method, based on this new approximation, and applied it to synthetic and real helicopter‐borne EM data. The results demonstrate the stability and efficiency of the method and show that the LQL approximation can be a practical solution to the problem of 3‐D inversion of multitransmitter frequency‐domain EM data.

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