A linear sampling method for detecting fluctuations of the wavefield in an elastic half-space. (15th October 2015)

• Record Type: Journal Article
• Authors: Touhei, Terumi; Fukushiro, Yasufumi; Tanaka, Takumi
• Is Part Of: International journal of solids and structures. Volume 72(2015)
• Page Start: 26
• Page End: 37
• Publication Date: 2015-10-15
• Subjects: Linear sampling method -- Solvability index -- Inverse scattering problem -- Elastic half-space -- Fluctuation of the wavefield -- Projection theorem of a Hilbert space -- Singular value decomposition; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.07.008
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: A linear sampling method for an elastic half-space is developed to reconstruct fluctuations in the wavefield. 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.