圆弧形凹陷饱和土场地对平面P波散射问题的解析解

AN ANALYTICAL SOLUTION FOR THE DIFFRACTION OF PLANE P-WAVES BY CIRCULAR CYLINDRICAL CANYONS IN A FLUID-SATURATED POROUS MEDIA HALF SPACE

以Biot饱和多孔介质动力学理论为基础 ,利用Fourier Bessel级数展开法 ,得到饱和多孔介质半空间中圆弧形凹陷地形对平面P波的散射问题的解析解 .数值计算给出地表位移幅值 ,分析了入射波波长、入射角、圆弧高宽比对地表位移幅值的影响 ,并与现存的在单相介质情况下得到的结论进行对比 .

On the basis of the Biot dynamic theory, an analytic solution of two-dimensional scattering and diffraction of plane P waves by circular cylindrical canyons in a fluid-saturated porous media half space is presented by the Fourier-Bessel series expansion technique for the first time. The surface displacement amplitudes are presented, and the effects of frequency and angle of incident waves, and the ratio of canyon depth to its width on the surface displacement amplitudes are discussed. These results are compared with those from the half space regarded as ordinary elastic one-phase solid.