Integral equation method for simulation of electromagnetic fields in nonhomogeneous conducting media
type: Item
instance of: scholarly article
title: Integral equation method for simulation of electromagnetic fields in nonhomogeneous conducting media
zbMATH Open document ID: 0899.65073
DOI: 10.1007/BF01128946
author: V. I. Dmitriev
published in: Computational Mathematics and Modeling
publication date: 1998-08-25T00:00:00Z
review text: Mathematical modeling of electromagnetic fields in nonhomogeneous conducting media is frequently employed in various applied problems. In particular, it is the basis for the theory of electromagnetic methods in geophysical prospecting for mineral deposits. Electromagnetic methods in geophysics utilize the fact that the structure of the Earth's crust and interior is closely linked with the distribution of electrical conductivity in the Earth. It is for this reason that electromagnetic prospecting usually seeks to determine the three-dimensional distribution of electrical conductivity from surface observations of the electromagnetic field as a function of the coordinates of the observation point and some additional parameter (source location, field frequency, or time). The solution of the inverse problem of electromagnetic sounding naturally relies on repeated solution of the direct problem. The mathematical modeling methods threrefore should ensure rapid computation of fields for a large number of close models. The integral equation method meets these requirements. We consider the most general model that represents the actual structure of the Earth by a homogeneous-stratified medium with a local three-dimensional conducting inclusion and apply a mixed iterative method for its numerical solution.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45F15
zbMATH DE Number: 1188593
zbMATH Keywords: system of Maxwell's equations
zbMATH Keywords: geophysical prospecting
zbMATH Keywords: mineral deposits
zbMATH Keywords: electromagnetic prospecting
zbMATH Keywords: inverse problem
zbMATH Keywords: electromagnetic sounding
zbMATH Keywords: integral equation method
zbMATH Keywords: mixed iterative method
MaRDI profile type: Publication
cites work: Equivalence of some direct problems of magnetotelluric sounding
full work available at URL: https://doi.org/10.1007/bf01128946
OpenAlex ID: W2049714025
description: scientific article; zbMATH DE number 1188593