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Source Inversion Based on Distributed Acoustic Sensing-Type Data

Author

Listed:
  • Litao Shen

    (School of Science, Wuhan University of Technology, Wuhan 430070, China)

  • Tian-Yi Wang

    (School of Science, Wuhan University of Technology, Wuhan 430070, China)

  • Haoran Zhang

    (Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China)

Abstract

In this study, we investigate the inverse problem of the two-dimensional wave equation source term, which arises from the Distributed Acoustic Sensing (DAS) data on the boundary. We construct a new integral operator that maps the interior sources to the DAS-type data at the boundary. Due to the noninjectivity and instability of the integral operator, which violates the well posedness of the inverse problem, a minimization problem on a compact convex subset is formulated, and the existence and uniqueness of the minimizer are obtained. Numerical examples for different cases are illustrated.

Suggested Citation

  • Litao Shen & Tian-Yi Wang & Haoran Zhang, 2024. "Source Inversion Based on Distributed Acoustic Sensing-Type Data," Mathematics, MDPI, vol. 12(12), pages 1-24, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1868-:d:1415338
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    References listed on IDEAS

    as
    1. Sharefa Asiri & Chadia Zayane-Aissa & Taous-Meriem Laleg-Kirati, 2015. "An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, October.
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