Analytic and numerical studies of the D.C. geoelectric prospecting method

Furness, C. P. (1977). Analytic and numerical studies of the D.C. geoelectric prospecting method PhD Thesis, School of Physical Sciences, The University of Queensland. doi:10.14264/uql.2015.259

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Author Furness, C. P.
Thesis Title Analytic and numerical studies of the D.C. geoelectric prospecting method
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
DOI 10.14264/uql.2015.259
Publication date 1977
Thesis type PhD Thesis
Supervisor S. H. Hall
J. P. Webb.
Total pages 223
Language eng
Subjects 040401 Electrical and Electromagnetic Methods in Geophysics
Formatted abstract
A fundamental integral expression for the stationary current potential in a general conducting medium is developed in terms of a volume distribution of current dipole moment existing in a medium of uniform conductivity. From this "polarization" equation an integral equation solution of the resistivity and induced polarization problem is deduced in which the potential in discontinuous media is expressed in terms of distributions of current dipole moment existing along surfaces of conductivity discontinuity.

It is demonstrated that subject to certain restrictions necessitated by the limited memory available, the above technique is well suited to implementation on minicomputers and programmable calculators. While these restrictions involve limiting consideration to problems of a purely two-dimensional nature, it is shown that the resulting solutions have relevance to the interpretation of geoelectric field data obtained with point-source arrays.

The geoelectric responses of two-dimensional analogues of a number of commonly employed electrode configurations on some simple earth models are computed by the above technique. In particular, the effect of resistivity ratio on the response behaviour of both conductive and resistive earth structures is investigated. Results indicate that no one electrode array shows to best advantage in all situations, and so highlights the need for proper array design for a specific task.

An analysis of the various geoelectric responses observed on an earth approaching homogeneity indicates that here the responses represent the product of a resistivity contrast and a geometrical factor. The latter is of fundamental importance since it offers a unique means of defining the inherent sensitivity of an electrode array to portions of the subsurface in a manner which is independent of any particular resistivity distribution. The behaviour of these geometric responses for finite portions of the subsurface and their variation over the half-space for differential volume elements are evaluated by application of the polarization equation and yield valuable information on the sensitivity pattern of various electrode arrays.
Keyword Electric prospecting
Additional Notes Other Title: D.C. geo-electric prospecting method.

Document type: Thesis
Collection: UQ Theses (RHD) - UQ staff and students only
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Created: Fri, 23 Jan 2015, 11:43:13 EST by Mary-Anne Marrington on behalf of Scholarly Communication and Digitisation Service