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DIGITAL LINEAR FILTER FOR COMPUTING TYPE CURVES FOR THE TWO‐ELECTRODE SYSTEM OF RESISTIVITY SOUNDING *
Author(s) -
DAS U.C.,
VERMA S.K.
Publication year - 1980
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.1365-2478.1980.tb01246.x
Subject(s) - electrical resistivity and conductivity , electrode , depth sounding , filter (signal processing) , convolution (computer science) , vertical electrical sounding , function (biology) , mathematical analysis , mineralogy , mathematics , materials science , geometry , geology , electrical engineering , physics , computer science , engineering , geotechnical engineering , groundwater , oceanography , quantum mechanics , machine learning , artificial neural network , aquifer , evolutionary biology , biology
A bstract In this paper a technique for computing type curves for the two‐electrode resistivity soundings is presented. It is shown that the apparent resistivity due to the system can be represented by a convolution integral. Thus, it is possible to apply the principle of digital linear filtering and compute the desired type‐curves. The filter function required for the purpose is found to be identical with that used to compute the EM sounding curves for the two coplanar horizontal loop system. It is further shown that from the two‐electrode apparent‐resistivity expression one can easily derive the apparent resistivities for other configurations. A comparison of depths of investigation for various systems reveals that the two‐electrode system has greater depth of investigation than other conventional systems. This is also supported by the field example presented in the end, which illustrates the relative performance of the two‐electrode system vis‐a‐vis the Wenner system.