The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer

The paper presents algorithm and numerical results for the boundary integral equations (BIE) method of the forward D.C. geoelectric problem for the three-layered earth which contains the prismoidal body with sloped faces in the second layer. This situation occurs in the sedimentary basins. Although...

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Main Author: Milan HVOŽDARA
Format: Article
Language:English
Published: Earth Science Institute, Slovak Academy of Sciences, Slovakia 2012-12-01
Series:Contributions to Geophysics and Geodesy
Subjects:
Online Access:https://journal.geo.sav.sk/cgg/article/view/80
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author Milan HVOŽDARA
author_facet Milan HVOŽDARA
author_sort Milan HVOŽDARA
collection DOAJ
description The paper presents algorithm and numerical results for the boundary integral equations (BIE) method of the forward D.C. geoelectric problem for the three-layered earth which contains the prismoidal body with sloped faces in the second layer. This situation occurs in the sedimentary basins. Although the numerical calculations are more complicated in comparison with faces orthogonal to the x, y, z axes, the generalization to the sloped faces enables treatment of the anomalous fields for the bodies of more general shapes as rectangular prisms. The graphs with numerical results present isoline maps of the perturbing potential as well as the resistivity profiles when the source field is due to the pair of D.C. electrodes at the surface of the earth. Also presented apparent resistivity curves for the Schlumberger array AMNB sounding.
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spelling doaj.art-d5ed26143fb84ae78a0e747363bac2742022-12-21T18:20:03ZengEarth Science Institute, Slovak Academy of Sciences, SlovakiaContributions to Geophysics and Geodesy1338-05402012-12-0142431334310.2478/v10126-012-0015-680The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layerMilan HVOŽDARA0Geophysical Institute of the Slovak Academy of SciencesThe paper presents algorithm and numerical results for the boundary integral equations (BIE) method of the forward D.C. geoelectric problem for the three-layered earth which contains the prismoidal body with sloped faces in the second layer. This situation occurs in the sedimentary basins. Although the numerical calculations are more complicated in comparison with faces orthogonal to the x, y, z axes, the generalization to the sloped faces enables treatment of the anomalous fields for the bodies of more general shapes as rectangular prisms. The graphs with numerical results present isoline maps of the perturbing potential as well as the resistivity profiles when the source field is due to the pair of D.C. electrodes at the surface of the earth. Also presented apparent resistivity curves for the Schlumberger array AMNB sounding.https://journal.geo.sav.sk/cgg/article/view/80geoelectric potential field theory, boundary integral methods, double-layer potential calculation, solid angle of view, apparent resistivity for laterally inhomogeneous media
spellingShingle Milan HVOŽDARA
The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
Contributions to Geophysics and Geodesy
geoelectric potential field theory, boundary integral methods, double-layer potential calculation, solid angle of view, apparent resistivity for laterally inhomogeneous media
title The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
title_full The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
title_fullStr The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
title_full_unstemmed The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
title_short The boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
title_sort boundary integral method for the d c geoelectric problem in the 3 layered earth with a prismoid inhomogeneity in the second layer
topic geoelectric potential field theory, boundary integral methods, double-layer potential calculation, solid angle of view, apparent resistivity for laterally inhomogeneous media
url https://journal.geo.sav.sk/cgg/article/view/80
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