Open AccessAn Integral Equation Approach to Three‐Dimensional Modelling
Author(s) -
Raiche A. P.
Publication year - 1974
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1974.tb03645.x
Subject(s) - integral equation , mathematical analysis , summation equation , electric field integral equation , mathematics , kernel (algebra) , function (biology) , tensor (intrinsic definition) , geometry , combinatorics , evolutionary biology , biology
Summary 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.