圆弧形沉积场地对平面瑞利波散射的解析分析  

SCATTERING OF PLANE RAYLEIGH WAVES BY A CIRCULAR-ARC ALLUVIAL VALLEY: AN ANALYTICAL SOLUTION

作　　者：赵成刚[1] 王磊[1] 高福平[2] 

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]中国科学院力学研究所,北京100080

出　　处：《力学学报》2007年第3期365-373,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(50478062);北京市自然科学基金项目(8052015);北京工业大学;教育部与北京市共建城市与工程安全减灾重点实验室开放摹金资助

摘　　要：分别采用Biot饱和多孔介质动力学理论和单相介质弹性动力学理论模拟层状沉积谷场地和周围场地,利用波函数展开法,得出了层状饱和沉积场地对Rayleigh波散射的解析解．进行参量分析,研究了无量纲入射波频率、层状沉积层排列顺序及相对刚度和厚度等因素对Rayleigh波散射效应的影响．The scattering and diffraction of plane Rayleigh waves in a circular-arc layered alluvial valley with soft-soil deposits is studied analytically in this paper. The soft sediments in the circular-arc valley are simulated by applying Biot＇s dynamic theory to a saturated porous medium, and the half-space is assumed as an elastic single-phase medium. In this analysis, Fourier-Bessel series expansion technique is employed to obtain the analytical solutions. Based on the analytical solutions, the effects of dimensionless frequency, the layered sediments sequence and the relative rigidity and thickness on the scattering and diffraction are investigated.

关 键 词：层状沉积场地 平面Rayleigh波 散射 地面运动放大 饱和土 

分 类 号：TU435[建筑科学—岩土工程]