Open AccessThe boundary integral method for the D.C. geoelectric problem in the 3-layered earth with a prismoid inhomogeneity in the second layer
Author(s) -
M. Hvoždara
Publication year - 2012
Publication title -
contributions to geophysics and geodesy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 18
eISSN - 1338-0540
pISSN - 1335-2806
DOI - 10.2478/v10126-012-0015-6
Subject(s) - geology , depth sounding , geophysics , geometry , vertical electrical sounding , electrical resistivity and conductivity , boundary (topology) , earth (classical element) , integral equation , generalization , surface (topology) , mathematical analysis , mathematics , physics , geotechnical engineering , aquifer , quantum mechanics , groundwater , mathematical physics , oceanography
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.