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An Approach for Interpretation of Self-Potential Anomalies due to Simple Geometrical Structures Using Fair Function Minimization

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Abstract

A quantitative interpretation method of self-potential field anomalies has been proposed. The method is designed and implemented for the estimation of center depth, electric dipole moment or magnitude of polarization, polarization angle, and geometric shape factor of a buried body from SP field data, related to simple geometric structures such as cylinders, spheres and sheet-like bodies. The proposed method is based on Fair function minimization and also on stochastic optimization modeling. This new technique was first tested on theoretical synthetic data randomly generated by a chosen statistical distribution from a known model with different random noise components. Such mathematical simulation shows a very close agreement between assumed and estimated model parameters. Being theoretically proven, it has been applied and tested on self-potential field data taken from the United States, Germany, India and Turkey. The agreement between results obtained by the suggested method and those obtained by other previous methods is good and comparable. Moreover, the depth obtained by this method is found to be in high accordance with that obtained from drilling information.

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Acknowledgments

The authors would like to thank Dr. I. Othman, Director General of the Atomic Energy Commission of Syria, for his continuous encouragement and guidance in achieving this research. The reviewers are deeply thanked for their constructive remarks and suggestions which considerably improved the final version of this paper.

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  1. Atomic Energy Commission, P. O. Box 6091, Damascus, Syria

    M. Tlas & J. Asfahani

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  1. M. Tlas
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  2. J. Asfahani
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Correspondence to M. Tlas.

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Tlas, M., Asfahani, J. An Approach for Interpretation of Self-Potential Anomalies due to Simple Geometrical Structures Using Fair Function Minimization. Pure Appl. Geophys. 170, 895–905 (2013). https://doi.org/10.1007/s00024-012-0594-1

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  • DOI: https://doi.org/10.1007/s00024-012-0594-1

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