Seismic responses of a hemispherical alluvial valley to SV waves: a three-dimensional analytical approximation |
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摘 要: |
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关 键 词: | 地震响应 半球形冲积河谷 毕奥动力学理论 三维解析近似 |
收稿时间: | 4 January 2006 |
修稿时间: | 21 July 2006 |
Seismic responses of a hemispherical alluvial valley to SV waves: a three-dimensional analytical approximation |
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Authors: | Chenggang Zhao Jun Dong Fuping Gao D -S Jeng |
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Institution: | (1) School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing, 100044, China;(2) Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, China;(3) School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia |
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Abstract: | An analytical solution to the three-dimensional scattering and diffraction of plane SV-waves by a saturated hemispherical alluvial valley in elastic half-space 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.The project was supported by the National Natural Science Foundation of China (50478062 and 10532070) and Open Fund at the Key Laboratory of Urban Security and Disaster Engineering (Beijing University of Technology), Chinese Ministry of Education. The English text was polished by Keren Wang. |
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Keywords: | Biot’ s dynamic theory Saturated porous media Three-dimensional scattering Hemispherical alluvial valley |
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