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Rayleigh波在饱和半空间中凹陷地形周围的散射

Scattering of Rayleigh waves by a canyon in saturated poroelastic half-space

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【作者】 刘中宪梁建文徐颖

【Author】 LIU Zhong-xian1,2,LIANG Jian-wen2,XU Ying2(1.Tianjin Key Laboratory of Soft Soils and Engineering Environmental of Tianjin,Tianjin Institute of Urban Construction,Tianjin 300384,China; 2.Department of Civil Engineering,Tianjin University,Tianjin 300072,China;)

【机构】 天津城市建设学院天津市软土特性与工程环境重点实验室天津大学土木工程系

【摘要】 饱和场地中波的传播同单相介质情况具有显著的差异。基于Biot固液两相介质理论,采用间接边界积分方程法,求解了Rayleigh波在饱和半空间中凹陷地形周围的二维散射问题。由分布在凹陷表面附近的虚拟波源构造散射波场,由边界条件确定虚拟波源的密度。总波场由自由波场和散射波场叠加而得。通过详细的参数分析,研究了入射波频率、边界渗透条件、孔隙率、凹陷形状等因素对Rayleigh波散射的影响,得出了一些有益的结论。

【Abstract】 The wave propagation in saturated site is significantly different from that in single-phased media.Based on Biot’s solid-fluid two phased medium theory,the scattering of plane Rayleigh wave by a two-dimensional cayon in poroelastic half-space was solved by indirect boundary integration equation method.The scattered waves were constructed using the fictitious wave sources close to the canyon surface,and the boundary integral equation was obtained and numerically solved by continue boundary conditions.By parameter analysis of the typical example,the effect of incident frequency,penetration condition,the porosity and the canyon shape on scattering were discussed.Finally,some conclusions are obtained.

【基金】 国家自然科学基金项目(50978183;51008210);教育部博士点基金项目(200800560046)
  • 【文献出处】 自然灾害学报 ,Journal of Natural Disasters , 编辑部邮箱 ,2011年04期
  • 【分类号】TU435;P315
  • 【被引频次】5
  • 【下载频次】198
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