Inversión unidimensional de datos de polarización inducida para medios de contraste pequeño en resistividad

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F. J. Esparza
E. Gómez Treviño

Abstract

The interpretation of induced polarization soundings for low rcsistivity contrast media is posed in terms of a linear integral equation. Two solutions of this equation are prcsentcd: (a) an anal y tic solution by means of integral transforms, and (b) a numerical solution using linear programming. The first establishes that the inverse problem has, at least IÍn principie, a unique solution, and the second allows the construction of models from field data. The construction of models is illustrated assuming zero resistivity contrast, for which thc integral equation is exaet, and it is extended to cases that involve resistivity variations. Applications of the algorithm to field data are also included.

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Esparza, F. J., & Gómez Treviño, E. (1989). Inversión unidimensional de datos de polarización inducida para medios de contraste pequeño en resistividad. Geofisica Internacional, 28(3), 467–479. https://doi.org/10.22201/igeof.00167169p.1989.28.3.620
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References

CAVAZOS-GARZA, R. Y E. GOMEZ-TREVIÑO, 1989. Hacia la inversión tridimensional de datos de resistividad y polarización inducida. Geofísica Internacional. (En este mismo número). DOI: https://doi.org/10.22201/igeof.00167169p.1989.28.3.621

COMPARAN, J. L., A. SANCHEZ G. y E. GOMEZ-TREVIÑO, 1989. Un método para modelar anomalías de resistividad y polarización inducida mediante potenciales logarítmicos. Geofísica Internacional, 28, 1, 73-87. DOI: https://doi.org/10.22201/igeof.00167169p.1989.28.1.1017

ELLIOT, C. L. and E. LAURITSEN, 1977. Induced polarization response of a horizontally multilayered earth with no resistivity contrast. Geophys. Prosp., 25, 76-95. DOI: https://doi.org/10.1111/j.1365-2478.1977.tb01154.x

ESPARZA, F. J. and E. GOMEZ-TREVIÑO, 1987. Electromagnetic sounding in the resistive limit and the Backus-Gilbert method for estimating averages. Geoexploration, 24, 441-454. DOI: https://doi.org/10.1016/0016-7142(87)90013-5

GRADSHTEYN, I S. and I. M. RYZHIK, 1965. Tables of Integrals Series and Products. Academic Press, New York.

OLDENBURG, D. W. and J. C. SAMSON, 1979. Inversion of interferometric data from cylindrically symmetric, refractionless plasmas. J. Opt. Soc. Amer., 69, 927-942. DOI: https://doi.org/10.1364/JOSA.69.000927

SEARA, J. L. and A. GRANDA, 1987. Interpretation of I. P. time domain/resistivity soundings for delineating sea-water in some coastal areas of the Northeast of Spain. Geoexploration, 24, 153-167. DOI: https://doi.org/10.1016/0016-7142(87)90089-5

ROY, K. K. and H. M. ELLIOT, 1980. Resistivity and IP surveys for delineating saline water and fresh water zones. Geoexploration, 18, 145-162. DOI: https://doi.org/10.1016/0016-7142(80)90026-5

SEIGEL, H. O., 1959. Mathematical formulation and type curves for induced polarization. Geophysics, 24, 547-565. DOI: https://doi.org/10.1190/1.1438625