1887
Volume 15 Number 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

This paper is the follow‐up of an earlier paper by the same author on the calculation of standard‐graphs for horizontally stratified subsoils. The method which was developed in that earlier paper was destined for handwork; it was laid down in master‐tables. The present paper deals with the presentation of similar methods to the computer expert in purely mathematical denotation. Two different denotations are described for the calculation of the image pole strengths involved. The first denotation is an improved version of Watsons formulae; it gives the total strengths. The second denotation preserves the character of successive approximations as described in the previous paper. Both denotations have been worked out until a six layer resistivity profile, but actually there is no limitation to the number of layers. There is no restriction to the resistivities of any layer. The only condition is now that all interface depths must be integers.

This paper is followed by a paper on the relevant computer program by Argelo in this same issue

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/content/journals/10.1111/j.1365-2478.1967.tb01773.x
2006-04-27
2020-02-23
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References

  1. Argelo, S. M., 1967, A Computer Program for the Calculation of Standard‐Graphs for Resistivity Prospecting by means of a Digital Computer. Geophysical Prospecting, this same issue.
  2. Dam, J. C. van, 1964, A simple Method for the Calculation of Standard‐graphs to be used in Geo‐electrical Prospecting–Doctors Thesis, Delft.
  3. Dam, J. C. van, 1965, A simple Method for the Calculation of Standard-graphs to be used in Geo-electrical Prospecting–Geophysical Prospecting, Volume XIII, No. 1.
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  4. Stefanesco, S., 1930, En collaboration avec C. et M. Schlumberger, Sur la distribution électrique potentielle autour ?une prise de terre ponctuelle dans un terrain à couc̀hes horizontales homogènes et isotropes. Journal de Physique et le Radium, Serie VII, Tome 1.
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  5. Watson, R. J., 1934, ‐A‐ contribution to the theory of the interpretation of resistivity measurements obtained from surface potential observations. Transactions of the American Institute of Mining and Metallurgical Engineers. Geophysical Prospecting, pp. 201–232.
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