Abstract

SUMMARY The second order partial differential equations for both the TM mode and TE mode are derived fromtheMaxwellequationsforadiagonalanisotropicmodel.Andthentheequationsrelatedto theTMmodearesolvedviatheFouriertransformtoobtainthequasi-analyticalsolutionsofthe 2-Dmagnetotelluric(MT)fieldsonanaxiallyanisotropicinfinitefault.Furthermore,thequasianalytical solutions are tested by the isotropic model corresponding to the anisotropic one. Finally, the MT response functions on the fault models with different anisotropic conductivity structures are calculated, and the relationship between the MT response functions and the variety of the model conductivities is analysed, at the same time some applications of the analytic solutions to the MT fields in some special anisotropic media are discussed.

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