地下衬砌洞室对Rayleigh波的放大作用  

Amplification of Rayleigh waves due to underground lined cavities

作　　者：梁建文[1] 纪晓东[1] 

机构地区：[1]天津大学土木工程系,天津300072

出　　处：《地震工程与工程振动》2006年第4期24-31,共8页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(50378063);教育部新世纪优秀人才支持计划

摘　　要：本文利用波函数展开法,给出了半空间中圆形衬砌洞室引起的Rayle igh波散射问题的一个级数解,并通过对求解技术的改进,获得了高频解答。论文通过入射波长、洞室直径、衬砌刚度和埋置深度等参数分析,研究了地下洞室对Rayle igh波的放大作用。数值结果表明,地下洞室情况下地表位移幅值可以达到无洞室情况的2.6倍以上;多数情况下,柔性衬砌洞室情况地表位移幅值最大,无衬砌洞室情况次之,刚性衬砌情况最小。By wave function expansion method, a series solution for the scattering of Rayleigh waves due to underground lined cavities is derived, and the high -frequency solutions are given by improvement of the solution technique. The amplification of Rayleigh waves due to underground lined cavities is studied by the analysis of the parameters , such as incident wavelength, diameter of the cavity, stiffness of the liner, buried depth of the cavity, etc. It is shown by numerical results that the surface displacement amplitude with a lined cavity can be 2.6 times of that without cavity ; the surface displacement amplitude for the case of soft liner is the largest, the second largest is for the case of without liner, and the smallest for the case of stiff liner.

关 键 词：衬砌洞室 RAYLEIGH波 散射 放大作用 级数解 高频解答 

分 类 号：P315.95[天文地球—地震学]