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Inverse Problem of Electromagnetoelasticity: Simultaneous Determination of Elastic and Electromagnetic Parameters

In: Applied and Industrial Mathematics, Venice—2, 1998

Author

Listed:
  • A. V. Avdeev

    (Siberian Branch of the Russia Academy of Sciences (SB RAS), Institute of Computational Mathematics and Mathematical Geophysics)

  • O. N. Soboleva

    (Siberian Branch of the Russia Academy of Sciences (SB RAS), Institute of Computational Mathematics and Mathematical Geophysics)

  • V. I. Priimenko

    (North Fluminense State University — LENEP/UENF, Laboratory of Petroleum Engineering and Exploration)

Abstract

The Maxwell and Lamé systems are considered in the case when the electromagnetic (EM) field is generated by elastic oscillations. We neglect the reverse influence of the EM field on the elastic oscillations. The influence of the EM field on the deformation field is considered as a result of the Lorentz forces. We consider the problem of recovering some elastic and EM parameters of a layered medium from a weakly coupled linearized set of equations of electromagnetoelasticity. To solve the inverse problem for electromagnetoelasticity equations optimization methods are used.

Suggested Citation

  • A. V. Avdeev & O. N. Soboleva & V. I. Priimenko, 2000. "Inverse Problem of Electromagnetoelasticity: Simultaneous Determination of Elastic and Electromagnetic Parameters," Springer Books, in: Renato Spigler (ed.), Applied and Industrial Mathematics, Venice—2, 1998, pages 199-207, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-4193-2_12
    DOI: 10.1007/978-94-011-4193-2_12
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