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A SIMPLE DERIVATION OF SEIGEL'S TIME DOMAIN INDUCED POLARIZATION FORMULA *
Author(s) -
Roy A.,
Poddar M.
Publication year - 1981
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.1365-2478.1981.tb01023.x
Subject(s) - induced polarization , electrical resistivity and conductivity , equivalence (formal languages) , simple (philosophy) , homogeneous , mathematics , mathematical analysis , polarization (electrochemistry) , domain (mathematical analysis) , mineralogy , physics , pure mathematics , chemistry , quantum mechanics , combinatorics , philosophy , epistemology
A bstract It is advantageous to postulate the phenomenological equivalence of chargeability with a slight increase in resistivities rather than a similar reduction in the conductivities. Substitution of these increments in the expression for the total differential of apparent resistivity leads directly to Seigel's formula. Included also are (i) an equally simple demonstration that, for a homogeneously chargeable ground with arbitrary resistivity distribution, the apparent chargeability m a , equals the true homogeneous value m , and (ii) a direct derivation of the completely general resistivity relationwhere the symbols have the usual meanings.