Linearization of relative parameters of a high-frequency magnetic field in two-dimensional conducting media

Efficient two-dimensional inversion of high-frequency electromagnetic data providing reliable estimates of geoelectrical parameters may improve the quality of log data interpretation. We suggest fast linearization algorithms for inversion of relative amplitude and phase difference nonlinear to the magnetic field components, to be used in axisymmetrical models with linear electrical conductivity functions instead of computationally inefficient complete forward solutions. We investigated the behavior of the integrand functions and obtained their asymptotic representation. The amplitude and phase difference estimated using the new linearization algorithm are accurate to at least 1% over a broad range of model parameters.