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.