On: 'IP and Resistivity Type Curves for Three‐dimensional Bodies' by K. Dieter, N. R. Paterson, and F. S. Grant (GEOPHYSICS, Vol. 34, no. 4, August, 1969, p.615–632)

Autor:	N. R. Paterson, F. S. Grant, K. D. Dieter, A. Roy
Rok vydání:	1970
Předmět:	Geophysics Series (mathematics) Geochemistry and Petrology Electrical resistivity and conductivity Mathematical analysis Calculus Order (group theory) Boundary value problem Type curve Mathematics Interpretation (model theory) Image (mathematics)
Zdroj:	GEOPHYSICS. 35:359-359
ISSN:	1942-2156 0016-8033
Popis:	All boundary conditions of the problem discussed by Dieter et al cannot be satisfied by the solution given in equations (8) and (9). It is not adequate to consider just one image in the manner illustrated by Figure 2. There will be a series of higher order images: [Formula: see text] and [Formula: see text] will be reflected on S giving the next image. This image in turn will be reflected on [Formula: see text]; and so on. Equations (8) and (9), therefore, represent an approximation—not a very good one—and will hold approximately only under very restricted conditions (see, for instance, “Interpretation Theory in Applied Geophysics” by F. S. Grant & G. F. West, p. 425, McGraw‐Hill Book Company, N. Y.). They do not constitute “a perfectly suitable form” for the potential due to a closed conducting body in a half‐space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8481d4080c05e51211f4f8c42264b53f https://doi.org/10.1190/1.1440100 Zobrazit plný text záznamu