An Integral Equation Approach to Three‐Dimensional Modelling

Abstract

An integral equation method is used to derive the electromagnetic response of a three‐dimensional heterogeneity in a three‐layer medium. The method consists of replacing the heterogeneity with point dipole scattering currents. The kernel of the integral equation is a tensor Green's function which is derived for the three‐layer case. It is shown how the use of iteration methods and Simpson's rule integration might significantly reduce computing requirements. The problem of initial estimates is discussed. The method is extended to include the case of a simultaneous conductivity and permeability anomaly. Copyright © 1974, Wiley Blackwell. All rights reserved