Doctoral Dissertations

Abstract

"This thesis deals with a theoretical study on the interpretation of resistivity sounding data measured by the Wenner electrode system. The objectives of this investigation are twofold: (i) to derive from the apparent resistivity data some suitable functions from which the resistivity and thickness of each member of the sequence of layers composing the earth may be determined, and (ii) to devise suitable methods for analyzing the resulting functions. In this investigation it is shown that the solution of the boundary value problem associated with an n-layered earth model leads to an integral equation for the Wenner electrode system. This integral equation relates the apparent resistivity function to an unknown function, termed the kernel, which is dependent on the layer resistivities and thicknesses. by solving this integral equation one does not obtain the kernel directly, but rather a related function, termed the associated kernel, from which an explicit integral expression for the kernel can be derived. Formulas for numerical integration are developed for the calculation of both the kernel and associated kernel from apparent resistivity data. These formulas are found to give satisfactory results. A numerical-graphical method is developed for the analysis of the kernel and the associated kernel. A further technique based on the principle of logarithmic curve matching is developed for the decomposition of the kernel alone. These methods are found to yield reasonably accurate values for the layer resistivities and thicknesses"--Abstract, pages ii-iii.

Advisor(s)

Zenor, Hughes M., 1908-2001

Committee Member(s)

Rechtein, Richard D.
McFarland, Robert H.
Pagano, Sylvester J., 1924-2006
Ho Chung You

Department(s)

Geosciences and Geological and Petroleum Engineering

Degree Name

Ph. D. in Geophysical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1969

Pagination

xvii, 193 pages

Note about bibliography

Includes bibliographical references (pages 152-153).

Rights

© 1969 Siew Hung Chan, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Prospecting -- Geophysical methods
Earth resistance (Geophysics)
Electronic data processing

Thesis Number

T 2219

Print OCLC #

6003966

Electronic OCLC #

841249510

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