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《力学学报(英文版)》 2006-06
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Seismic responses of a hemispherical alluvial valley to SV waves: a three-dimensional analytical approximation

C. Zhao. J. Dong School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, China F. Gao Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China D.-S. Jeng School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia  
An analytical solution to the three-dimensional scattering and diffraction of plane SV-waves by a saturated hemispherical alluvial valley in elastic halfspace is obtained by using Fourier-Bessel series expansion technique. The hemispherical alluvial valley with saturated soil deposits is simulated with Biot's dynamic theory for saturated porous media. The following conclusions based on numerical results can be drawn: (1) there are a significant differences in the seismic response simulation between the previous single-phase models and the present two-phase model; (2) the normalized displacements on the free surface of the alluvial valley depend mainly on the incident wave angles, the dimensionless frequency of the incident SV waves and the porosity of sediments; (3) with the increase of the incident angle, the displacement distributions become more complicated; and the displacements on the free surface of the alluvial valley increase as the porosity of sediments increases.
【Fund】: The project was supported by the National Natural Science Foundation of China (50478062 and 10532070);; Open Fund at the Key Laboratory of Urban Security and Disaster Engineering (Beijing University of Technology);; Chinese Ministry of Education.
【CateGory Index】: O212
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