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RESISTIVITY ANALYSIS FOR PLANE‐LAYER HALF‐SPACE MODELS WITH BURIED CURRENT SOURCES *
Author(s) -
MERKEL R. H.
Publication year - 1971
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1971.tb00906.x
Subject(s) - current (fluid) , electrical resistivity and conductivity , electrical conductor , conductor , geology , dipole , conductivity , plane (geometry) , boundary value problem , gemology , geometry , mineralogy , mechanics , materials science , physics , engineering geology , composite material , mathematics , mathematical analysis , paleontology , oceanography , quantum mechanics , volcanism , tectonics
A bstract Boundary‐value problems in steady‐state current flow were solved numerically for one and two layers over a half‐space. Solutions were obtained for layers of various resistivities where one of the current sources was placed below the surface and the second kept at some finite distance from the drill hole. When a fixed surface dipole receiving pair was used, it was found that as the buried source approached a conductive region, quite good determinations of the depth to the conductor could be made, hence reducing the possibility of extended drilling in “dry” holes resulting from poor surface data and/or interpretation. Numerous models were generated to find the optimum positioning of the two current electrodes for different field situations of this type. It was also found that by placing a current source in the conductive region, better resolution of the lateral extent of a possible ore zone could be obtained, due both to the more rapid convergence of the apparent resistivity to the resistivity of the conductor, and the fact that a smaller separation in the receiving dipole could be used. Numerous analog models were constructed to verify the digital results. Surface and down‐hole resistivity field data are compared to show the strength of this technique in delineating structure.