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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Format: | Article |
Language: | English |
Published: |
Earth Science Institute, Slovak Academy of Sciences, Slovakia
2012-12-01
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Series: | Contributions to Geophysics and Geodesy |
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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. |
first_indexed | 2024-12-22T16:30:58Z |
format | Article |
id | doaj.art-d5ed26143fb84ae78a0e747363bac274 |
institution | Directory Open Access Journal |
issn | 1338-0540 |
language | English |
last_indexed | 2024-12-22T16:30:58Z |
publishDate | 2012-12-01 |
publisher | Earth Science Institute, Slovak Academy of Sciences, Slovakia |
record_format | Article |
series | Contributions to Geophysics and Geodesy |
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 |
work_keys_str_mv | AT milanhvozdara theboundaryintegralmethodforthedcgeoelectricprobleminthe3layeredearthwithaprismoidinhomogeneityinthesecondlayer AT milanhvozdara boundaryintegralmethodforthedcgeoelectricprobleminthe3layeredearthwithaprismoidinhomogeneityinthesecondlayer |