Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1201-1206.

• 论文 • 上一篇    下一篇

LINEARIZED INVERSE SCATTERING FOR ELASTIC PARAMETERS IN A HALF-SPACE WITH REFLECTION DATA

朱文浩, 戴辉, 钟伟芳   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
  • 收稿日期:1996-11-28 修回日期:2000-04-24 出版日期:2000-10-18 发布日期:2000-10-18
  • 基金资助:
    the Doctoral Program Foundation of Higher Educations(98048705)

LINEARIZED INVERSE SCATTERING FOR ELASTIC PARAMETERS IN A HALF-SPACE WITH REFLECTION DATA

ZHU Wen-hao, DAI Hui, ZHONG Wei-fang   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
  • Received:1996-11-28 Revised:2000-04-24 Online:2000-10-18 Published:2000-10-18
  • Supported by:
    the Doctoral Program Foundation of Higher Educations(98048705)

摘要: The multi-parameter inversion of elastic wave equation in a half-space within the Born approximation is studied. A method of simultaneously reconstructing the configurations of the density and Lamé parameters of the medium was presented by use of a wideband measuring schemes in which transmitters and receivers scan over the half-space surface. It is shown that the reflected waves generated by horizontal and vertical pulses on the surface can be decomposed into P→P, P→S, S→P and S→S types of scattering components. As is expected, these components contain enough information for desired restruction. From them the density and two Lamé parameters are determined explicitly, and the results obtained have the form of filtered back-propagation as in the acoustic diffraction tomography.

关键词: inverse scattering, SRP, Born approximation, filtered back-propagation

Abstract: The multi-parameter inversion of elastic wave equation in a half-space within the Born approximation is studied. A method of simultaneously reconstructing the configurations of the density and Lamé parameters of the medium was presented by use of a wideband measuring schemes in which transmitters and receivers scan over the half-space surface. It is shown that the reflected waves generated by horizontal and vertical pulses on the surface can be decomposed into P→P, P→S, S→P and S→S types of scattering components. As is expected, these components contain enough information for desired restruction. From them the density and two Lamé parameters are determined explicitly, and the results obtained have the form of filtered back-propagation as in the acoustic diffraction tomography.

Key words: inverse scattering, SRP, Born approximation, filtered back-propagation

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