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，通过对舍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, which can be proven by direct comparison of the relevant solutions. Numerical as well as the analytical results have been presented to analyze the effect, of the dimensionless frequency of the incident plane-SV-waves and of the embedded depth of the lined cavity, on the dynamical stress concentration factor over the cavity sur-face.