A linear sampling method for detecting fluctuations of the wavefield in an elastic half-space

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:72

Article

Touhei, Terumi¹  Fukushiro, Yasufumi¹  Tanaka, Takumi¹ 

[1] Tokyo Univ Sci, Dept Civil Engn, Noda, Chiba 2788510, Japan

关键词: Linear sampling method;    Solvability index;    Inverse scattering problem;    Elastic half-space;    Fluctuation of the wavefield;    Projection theorem of a Hilbert space;    Singular value decomposition;   

DOI  :  10.1016/j.ijsolstr.2015.07.008

来源: Elsevier

【 摘 要 】

A linear sampling method for an elastic half-space is developed to reconstruct fluctuations in the wave-field. The starting point of the formulation is the near-field equation that was also used by Baganas et al. (2006). Instead of examining the norm of the solution of the near-field equation, we define a solvability index in order to obtain the spatial distribution of the amplitude of the solvability index and thus describe the location of the fluctuations. A numerical method for the evaluation of the index is also provided for a simplified algorithm; this method is based on a projection theorem for a Hilbert space and a singular value decomposition. Numerical calculations were performed, and the results validated the efficiency of the proposed method for reconstructing the fluctuations of a wavefield. (C) 2015 Elsevier Ltd. All rights reserved.

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