饱和土半空间中地下圆形衬砌洞室对平面SV波的散射

在Biot饱和多孔介质动力学理论的基础上,利用Fourier-Bessel级数展开法,通过对含有衬砌洞室的局部场地进行波场分析,得到饱和土半空间中圆柱形衬砌洞室对平面SV波的散射问题的解析解。经验证,本文得到的解可以退化为半空间单相介质的情况。通过与已有的单相弹性介质半空间中圆柱形衬砌洞室对平面SV波散射问题的解析解的对比,验证了此解的正确性。在解析解的基础上,数值计算给出洞口动应力集中放大系数,分析了入射频率和孔洞埋深对柱面上的应力集中因子的影响。

An Analytical Solution for Scattering and Diffraction of Plane-SV-waves by a Cylindrical Lined Cavity in Half-space of Saturated Soil

On the basis of Biot's dynamic theory of porous media,the response of a cylindrical lined cavity to incident plane-SV-waves was investigated.An analytic solution has been derived for the scattering and diffraction of plane-SV-waves by the lined cavity embedded in a half-space of saturated porous media with the Fourier-Bessel series expansion technique for the first time in this paper.The solution identically applies to the condition when the half-space is degenerated into an elastic medium of single phase,w...