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In order to explain the surveyed data more accurately and have a better understanding of the distribution of geoelectricity, two-dimensional partial differential equations of Magnetotelluric in anisotropic media are employed to establish vertical layered medium axially anisotropic model by Fourier Transform method. The quasi-analytic solutions of the electromagnetic field distribution of the TM mode are derived from the media of three vertical layers. The MT responses of isotropic media degenerated from anisotropic media are analyzed and compared with the results computed by finite element method. Similarly, the MT responses of anisotropic media are calculated to analyze the characters of response functions. This model has a further guiding significance on cognizing the magnetotelluric response characteristics of the complicated vertical layered medium model and explaining the detected data. the analytic-solutions of the MT response of anisotropic media (4) , so in order to explain the detected data and the geoelectric structure more accurately, we present a mathematical model for the vertical layered anisotropic media. In this paper, firstly the quasi-analytic solutions of vertical three-layered anisotropic media model are deduced. Then the accuracy of the isotropic model degenerated from the anisotropic model is verified using finite element method. Finally, the MT responses of isotropic and anisotropic media are obtained and the response functions are discussed.

Quasi-analytic solution of the magnetotelluric vertical layered anisotropic model