Solution of the electromagnetic induction problem in a 1-D generally anisotropic conductor excited by a non-uniform primary field is presented. Both electric and magnetic anisotropies are considered within the conductor. The solution of the problem in the horizontal wave number domain leads to a system of four coupled ordinary differential equations for the components of the horizontal field harmonics as functions of depth. The matrix propagation procedures for both field components and the spectral impedances, as well as a generalized Riccati equation approach are discussed as alternatives for simulating numerically the spectral impedance and geomagnetic induction response of the 1-D anisotropic conductor. With regard to magnetotellurics, special attention is paid to a reduced theory that assumes a purely inductive excitation of the field by external sources, and to intrinsic limitations of this special case. The theory is demonstrated by numerical simulations of the effect of anisotropy parameters on spectral magnetotelluric characteristics for schematic synthetic models.
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