Mathematical denotation of standard-graphs for resistivity prospecting in view of their calculation by means of a digital computer
J. C. Dam
Journal name: Geophysical Prospecting
Issue: Vol 15, No 1, March 1967 pp. 57 - 70
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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