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Construction of Shear Wave Models by Applying Multi-Objective Optimization to Multiple Geophysical Data Sets

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Analysis, Modelling, Optimization, and Numerical Techniques

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 121))

Abstract

For this work, our main purpose is to obtain a better understanding of the Earth’s tectonic processes in the Texas region, which requires us to analyze the Earth structure. We expand on a constrained optimization approach for a joint inversion least-squares (LSQ) algorithm to characterize a Earth’s structure of Texas with the use of multiple geophysical data sets. We employed a joint inversion scheme using multiple geophysical data sets for the sole purpose of obtaining a three-dimensional velocity structure of Texas in order to identify an ancient rift system within Texas. In particular, we use data from the USArray, which is part of the EarthScope experiment, a 15-year program to place a dense network of permanent and portable seismographs across the continental USA. Utilizing the USArray data has provided us with the ability to image the crust and upper mantle structure of Texas. We prove through numerical and experimental testing that our multiobjective optimization problem (MOP) scheme performs inversion in a more robust, and flexible matter than traditional inversion approaches.

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Acknowledgment

We would like to take the time to thank the computational science, mathematical science, and computer science departments from University of Texas at El Paso (UTEP). We would also like to thank Ezer Patlan, Dr. Anibal Sosa, Dr. Rodrigo Romero, Dr. Monica Maceira, and Azucena Zamora for all of their contributions to this work. This work was sponsored by the NSF CREST under Grant Cybershare HRD-0734825.

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Authors and Affiliations

  1. Department of Geological Sciences, University of Texas at El Paso (UTEP), 500 W. University Ave, El Paso, TX, 79968, USA

    Lennox Thompson, Aaron A. Velasco & Vladik Kreinovich

Authors
  1. Lennox Thompson
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  2. Aaron A. Velasco
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  3. Vladik Kreinovich
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Correspondence to Lennox Thompson .

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Editors and Affiliations

  1. Department of Electric, Electronic and Computer Science, Universidad Nacional de Colombia, Manizales, Colombia

    Gerard Olivar Tost

  2. Mathematics, Universidad del Valle, Cali, Colombia

    Olga Vasilieva

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Thompson, L., Velasco, A., Kreinovich, V. (2015). Construction of Shear Wave Models by Applying Multi-Objective Optimization to Multiple Geophysical Data Sets. In: Tost, G., Vasilieva, O. (eds) Analysis, Modelling, Optimization, and Numerical Techniques. Springer Proceedings in Mathematics & Statistics, vol 121. Springer, Cham. https://doi.org/10.1007/978-3-319-12583-1_22

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