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The Simplex Algorithm for Best-Estimate of Magnetic Parameters Related to Simple Geometric-Shaped Structures

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Abstract

This paper introduces a practical approach to interpret magnetic anomalies related to simple geometric-shaped models such as thin dike and horizontal cylinder. This approach is mainly based on both the deconvolution technique and on the simplex algorithm for linear programming to best-estimate the model parameters, for example the depth to the top or to the center of a buried structure, the effective magnetization angle and the amplitude coefficient from magnetic anomaly profile. This approach has been tested first on synthetic data sets corrupted by different white Gaussian random noise levels to demonstrate the capability and the reliability of the method. The results acquired show that the estimated parameter values derived by this approach are close to the assumed true values of parameters. The validity of this approach is also demonstrated using real field magnetic anomalies from the United States and Brazil. A comparable and acceptable agreement is shown between the results derived by this approach and those from the real field data information.

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Acknowledgments

The authors would like to thank Dr. I. Othman Director General of the Syrian Atomic Energy Commission for his continuous encouragement and guidance to achieve this research. Special thanks to the anonymous reviewers and to the Prof. Colin Farquharson for the reviewing of this paper and for their constructive suggestions and critical remarks, which considerably enhance the quality 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. The Simplex Algorithm for Best-Estimate of Magnetic Parameters Related to Simple Geometric-Shaped Structures. Math Geosci 47, 301–316 (2015). https://doi.org/10.1007/s11004-014-9549-7

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  • DOI: https://doi.org/10.1007/s11004-014-9549-7

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