Chapter 5 Nonlinear approximations for electromagnetic scattering from electrical and magnetic inhomogeneities

Arvidas Cheryauka, Michael S. Zhdanov, Motoyuki Sato

Research output: Contribution to journalArticle

Abstract

We extend linear and nonlinear approximations for electromagnetic fields to a medium with inhomogeneous distribution of both electrical and magnetic material properties. These approximations are presented in the form of tensor integrals over a domain with anomalous parameters. The developed approximations combine the linear and nonlinear estimations depending on the ratio of complex conductivity and magnetic susceptibility perturbations. These approximations form a basis for fast EM modeling and imaging in multi-dimensional environments where joint electrical and magnetic inhomogeneity is an essential feature of the model. Numerical tests carried out for one-dimensional electromagnetic logging applications demonstrate the validity of the theory and the effectiveness of the proposed approximations.

Original languageEnglish
Pages (from-to)65-83
Number of pages19
JournalMethods in Geochemistry and Geophysics
Volume35
Issue numberC
DOIs
Publication statusPublished - 2002 Dec 1

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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