Magnetotelluric response is studied for a three-layer earth, formed by constant conductivity in the first and the third layer and conductivity varying linearly with depth in the second layer (i.e., the inhomogeneous transition layer). The problem is accounted for by solving an Airy differential equation for the inhomogeneous transition layer; surface impedance and apparent resistivity are then obtained in terms of Air functions. Apparent resistivities and phases are computed for (1) resistive substratum, (2) conductive substratum, and (3) varying thickness of the transition layer. This results are compared with Cagniard master curves and multi-layer approximations.

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