Masters Theses
Dipole approximation of the solution for an electrode configuration in two-layer resistivity problem
Abstract
"An electrode configuration which consists of a pair of current electrodes, spaced at a unit apart, being kept at a great distance r from a pair of potential electrodes also spaced at a unit apart, has been investigated. Two theoretical apparent resistivity formulae were derived by applying Kelvin's theory of images to the problem of two-layer case. One formula is obtained by the exact method of solution, the other being obtained by considering the pair of current electrodes as a single dipole. Results of numerical calculations show that the greater the spacing r in comparison to the spacing a, the better the dipole approximation will be and that the dipole approximation is valid only under condition that r must be at least equal to 20a or greater.
Theoretical analysis shows that the configuration possesses several limitations which render it useless as a method for locating horizontal discontinuities in conductivity"--Abstract, page i.
Advisor(s)
Zenor, Hughes M., 1908-2001
Committee Member(s)
Pagano, Sylvester J., 1924-2006
Vaughn, George E., Jr., 1925-1997
Proctor, Paul Dean, 1918-1999
Department(s)
Mining Engineering
Degree Name
M.S. in Mining Engineering
Publisher
Missouri School of Mines and Metallurgy
Publication Date
1962
Pagination
v, 68 pages
Note about bibliography
Includes bibliographical references (pages 38-39).
Rights
© 1962 Siew Hung Chan, All rights reserved.
Document Type
Thesis - Open Access
File Type
text
Language
English
Subject Headings
Earth resistance (Geophysics)Prospecting -- Geophysical methods
Thesis Number
T 1359
Print OCLC #
5936700
Electronic OCLC #
987957242
Recommended Citation
Chan, Siew Hung, "Dipole approximation of the solution for an electrode configuration in two-layer resistivity problem" (1962). Masters Theses. 7624.
https://scholarsmine.mst.edu/masters_theses/7624