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Localization of the Discontinuity Lines of the Bottom Scattering Coefficient According to Acoustic Sounding Data

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Abstract

The paper considers the mathematical problems of constructing sonar images of the seabed from the data of measurements of a multibeam side-scan sonar. For the nonstationary radiative transfer equation describing the process of acoustic sounding in the ocean, we investigate the inverse problem of finding the discontinuity lines of the bottom scattering coefficient. A numerical algorithm for solving the inverse problem is developed, and the analysis of the quality of localization of the boundaries of inhomogeneities of the seabed depending on the number of angles and the sounding range is carried out.

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Funding

This work was financially supported by the Russian Foundation for Basic Research, project no. 20-01-00173, and the Russian Ministry of Education and Science, projects nos. 075-01095-20-00 and 075-02-2020-1482-1.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia

    E. O. Kovalenko & I. V. Prokhorov

  2. Far Eastern Federal University, Vladivostok, 690090, Russia

    I. V. Prokhorov

Authors
  1. E. O. Kovalenko
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  2. I. V. Prokhorov
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Corresponding authors

Correspondence to E. O. Kovalenko or I. V. Prokhorov.

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Translated by V. Potapchouck

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Kovalenko, E.O., Prokhorov, I.V. Localization of the Discontinuity Lines of the Bottom Scattering Coefficient According to Acoustic Sounding Data. J. Appl. Ind. Math. 16, 70–79 (2022). https://doi.org/10.1134/S1990478922010069

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  • DOI: https://doi.org/10.1134/S1990478922010069

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