Abstract
This paper presents an indirect boundary integration equation method for diffraction of plane SV waves by a 2-D cavity in a poroelastic half-space. The Green’s functions of compressive and shear wave sources are derived based on Biot’s theory. The scattered waves are constructed using fictitious wave sources close to the boundary of the cavity, and their magnitudes are determined by the boundary conditions. Verification of the accuracy is performed by: (1) checking the satisfaction extent of the boundary conditions, (2) comparing the degenerated solutions of a single-phased case with well-known solutions, and (3) examining the numerical stability of the solutions. The nature of diffraction of plane SV waves around a cavity in a poroelastic half-space is investigated by numerical examples.
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Supported by: Program for New Century Excellent Talents in University Under Grant No. NCET-05-0248; the Key Program for Applied Basic Research of Tianjin Municipality Under Grant No. 07JCZDJC10100
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Liang, J., Liu, Z. Diffraction of plane SV waves by a cavity in poroelastic half-space. Earthq. Eng. Eng. Vib. 8, 29–46 (2009). https://doi.org/10.1007/s11803-009-8077-9
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DOI: https://doi.org/10.1007/s11803-009-8077-9