Solution of the two-dimensional magnetotellurgic problem using Tikhonov regularizing algorithms

It is shown that the general Tikhonov regularizing algorithm applies to the case of a model in which the conduction of the terrestrial core is approximated by smooth functions. The magnetotelluric problem is formulated for a special case of the local conduction distribution: $\sigma(x, z) = \sigma_1(x)\sigma_0(z)$. Using a regularizing algorithm, a mathematical experiment is performed to determine the horizontal inhomogeneity of the geoelectric discontinuity.