We report locally nonlinear approximation algorithms for processing high-frequency induction logging data in axisymmetrical models. Forward problems for high-frequency logging are solved using the Born and Rytov approximations. Space conductivity variations in the high-frequency range change only the phase components of the electric or magnetic fields. The Rytov locally nonlinear approximation is the most accurate (1–2% error). Numerical modeling and comparison of high-frequency induction logging diagrams are applied to typical 2D models of terrigenous reservoirs.

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