DC resistivity inversion using general-purpose optimisation software

N. P. Merrick

doi:10.1071/EG991265

ISSN: 0812-3985
E-ISSN: 1834-7533

DC resistivity inversion using general-purpose optimisation software
Authors N. P. Merrick^a
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^a Department of Applied GeologyThe University of New South Wales, P.O. Box 1 Kensington, , N.S.W, . 2033, Australia
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 22, Issue 2, Jun 1991, p. 265 - 270
DOI: https://doi.org/10.1071/EG991265
- Published online: 01 Jun 1991

Abstract

DC resistivity sounding data usually are interpreted in terms of a layered earth by an iterative inversion scheme. This paper presents an alternative mechanism for the inversion process by formulating the resistivity inverse problem as an optimisation problem. By invoking the commercial mathematical programming software package called GAMS, an inversion routine has been developed without having to linearise the problem explicitly and without having to know details of the convergence algorithm. The GAMS high-level programming language provides a structure for coding the forward problem, for specifying an initial model and for declaring reasonable bounds on model parameters. GAMS inversion is extremely versatile in allowing ad hoc constraints of any complexity, but converges more slowly than special-purpose resistivity inversion algorithms. After familiarity is gained with the GAMS language, new code for more complex resistivity models or different geophysical methods can be developed in much less time than is required for the development of dedicated geophysical inversion software.

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1991-06-01

2026-01-23

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References

Brooke, A., Kendrick, D., and Meeraus, A., (1988). GAMS: a users guide, The Scientific Press, California, 289p.
Das, U. C, and Ghosh, D. P., (1974). The determination of filter coefficients for the computation of standard curves for dipole resistivity sounding over layered earth by linear digital filtering’, Geophys. Prosp. 22, 765-780.
Ghosh, D. P., (1971a). The application of linear filter theory to the direct interpretation of geoelectrical resistivity sounding measurements’, Geophys. Prosp. 19, 192-217.
Ghosh, D. P., (1971b). ‘Inverse filter coefficients for the computation of apparent resistivity standard curves for a horizontally stratified earth’, Geophys. Prosp. 19, 769-775.
Inman, J. R., Ryu, J., and Ward, S. H., (1973). ‘Resistivity inversion’, Geophysics38, 1088-1108.
Inman, J. R., (1975). ‘Resistivity inversion with ridge regression’, Geophysics40, 798-817.
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Koefoed, O., (1970). ‘A fast method for determining the layer distribution from the raised kernel function in geoelectric sounding’, Geophys. Prosp. 18, 564-570.
Merrick, N. P., (1976). ‘A computer program for the inversion of Schlumberger sounding curves in the resistivity transform domain’, Water Res. Comm. Hydrogeological Report No. 1976/15.
Merrick, N. P., (1977). ‘A computer program for the inversion of Schlumberger sounding curves in the apparent resistivity domain’, Water Res. Comm. Hydrogeological Report Ho. 1977/5.
Merrick, N. P., (1989). ‘A schema for the direct interpretation of electrical resistivity soundings’, Exploration Geophysics20, 469-479.
O’Neill, D. J., and Merrick, N. P., (1984). ‘A digital linear filter for resistivity sounding with a generalized electrode array’, Geophys. Prosp. 32, 105-123.
Orellana, E., and Mooney, H. M., (1966). ‘Master tables and curves for vertical electrical sounding over layered structures’, Interciencia, Madrid, 159p.
Prathapar, S. A., Merrick, N. P., and van der Lelij, A., (1990). ‘Optimal aquifer parameter determination by goal programming’, Proceedings, Symposium on Management of Soil Salinity in South-East Australia, Albury, September 18-20, 1989.
Scales, J. A., and Gersztenkorn, A., (1988). ‘Robust methods in inverse theory’, Inverse Problems4,1071-1091.

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Article Type: Research Article

Keyword(s): GAMS; optimisation; resistivity inversion

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DC resistivity inversion using general-purpose optimisation software

Abstract

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