THE APPARENT RESISTIVITY TENSOR
- 1 October 1977
- journal article
- Published by Society of Exploration Geophysicists in Geophysics
- Vol. 42 (6) , 1258-1261
- https://doi.org/10.1190/1.1440791
Abstract
The scalar apparent resistivity was originally defined for simple linear electrode resistivity arrays such as Wenner and Schlumberger arrays. With the extension of resistivity surveying into bipole‐dipole arrays, several different and not obviously related definitions of apparent resistivity have been used by different authors despite similar field procedure. In this note we show that when a pair of current sources (or quadripole source) is used, and the corresponding electric field vectors are measured at each field station, the most comprehensive expression of the reduced data is as an apparent resistivity tensor. Other definitions of apparent resistivity can be simply related to this tensor. For example, the quadripole‐quadripole apparent resistivity of Doicin (1976) is one of the tensor invariants; the maximum and minimum resistivities defined by the rotating dipole method of Furgerson and Keller (1975) can be simply derived, and their geometric mean is shown to be the quadripole‐quadripole value.Keywords
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