Analytical Solution of Magnetic Field from a DC Source Buried in a Two-Layered Exponentially Varying Conductive Medium

Abstract

An analytical solution of the steady state magnetic field due to a direct current point source is developed for the problem of a buried current source and a buried receiver within a horizontally stratified layered earth structure. A two-layered continuously earth model is considered in the case of an electrical conductivity varies exponentially with depth. The generalized Hankel transform is applied to our problem and then analytical result is obtained. The magnetic field results are plotted to show the behavior of the fields. The curves of magnetic fields show some significance to the variation of conductivity.