饱和土中单排弹性桩对平面S波的屏蔽

Screening of plane S waves by a row of elastic piles in saturated soil

基于饱和土弹性波动方程,考虑土体和水耦合作用的影响,分析了全空间均质饱和土中弹性排桩对入射平面S波的散射。将入射波和散射波的势函数展开成Fourier-Bessel函数的无穷级数的形式,利用一组圆柱坐标系统和加法转换定理,通过施加桩土界面处的连续条件,求解出待定散射系数,进而得到饱和土体中任意点的位移和应力。根据算例考察了饱和土的渗透系数、桩数量和桩间距等对排桩屏蔽效果的影响,并和单相弹性土体中排桩的屏蔽效果作了对比,得出了一些有意义的结论。

A row of elastic piles used as a screening barrier for plane S waves was investigated in a homogeneous unbounded space. Based on the Biot＇s dynamic equations, the inertia force of the skeletal frame and the fluid was considered. Using the Fourier-Bessel series, the problem of multiple scattering was analytically solved imposing continuity conditions at the soil-pile interfaces with a set of cylinddcal coordinate systems and the translational addition theorem. Finally, the effect of the intrinsic permeability of saturated soil, number of piles and pile spacings on the screening of elastic waves was investigated and compared with that under elastic conditions. It was shown that there was a difference between the screening effectiveness in saturated soil and that in elastic soil, and the intrinsic permeability of saturated soil displayed an apparent effect on the screening of elastic waves.