"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.
Zenor, Hughes M., 1908-2001
Pagano, Sylvester J., 1924-2006
Vaughn, George E., Jr., 1925-1997
Proctor, Paul Dean, 1918-1999
M.S. in Mining Engineering
Missouri School of Mines and Metallurgy
v, 68 pages
© 1962 Siew Hung Chan, All rights reserved.
Thesis - Open Access
Earth resistance (Geophysics)
Prospecting -- Geophysical methods
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Chan, Siew Hung, "Dipole approximation of the solution for an electrode configuration in two-layer resistivity problem" (1962). Masters Theses. 7624.