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Abstract <p>This paper is concerned with developing the methods for solving coefficient inverse problems of ultrasonic tomography in application to nondestructive testing. A vector elastic wave propagation model is used. The parameters of the inspected medium are determined by two Lamé coefficients and density. The problem of ultrasonic tomographic diagnostics is formulated as a three-coefficient inverse problem. Iterative methods for approximate solution are developed, which use the gradient descent method for minimizing the misfit functional between the measured and computed wave fields at the detectors. Efficiency of the proposed algorithms is illustrated on model problems. GPU is used as a high-performance computing platform.</p>

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On a Coefficient Inverse Problem of Ultrasound Tomography in NDT

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. V. Goncharsky,
  • S. Y. Romanov,
  • S. Y. Seryozhnikov

摘要

Abstract

This paper is concerned with developing the methods for solving coefficient inverse problems of ultrasonic tomography in application to nondestructive testing. A vector elastic wave propagation model is used. The parameters of the inspected medium are determined by two Lamé coefficients and density. The problem of ultrasonic tomographic diagnostics is formulated as a three-coefficient inverse problem. Iterative methods for approximate solution are developed, which use the gradient descent method for minimizing the misfit functional between the measured and computed wave fields at the detectors. Efficiency of the proposed algorithms is illustrated on model problems. GPU is used as a high-performance computing platform.