中文摘要：

把波函数展开方法用于地震波散射问题的研究中，首次在频域内给出了具有饱和土沉积层的圆弧形充水河谷对平面P波和SV散射问题的解析解答．其中半空间场地用单相介质弹性动力理论模拟，河谷中的饱和土沉积层用饱和多孔介质的Blot动力学理论模拟，河谷中的水用无黏性流体（理想流体）介质模拟．文中还给出算例，计算了不同高宽比的河谷谷底的位移幅值，分析表明河谷地形的存在使得半空间介质表面的位移幅值随着观察点位置的变化变化较大．

英文摘要：

We present an analytic solution of two-dimensional scattering and diffraction of plane P and SV waves by circular-arc alluvial valleys with saturated soil deposits and water. We use the Fourier-Bessel series expansion technique with the deposits simulated by the Biot dynamic theory for saturated porous media, the half space assumed to be elastic single-phase media, and the water in the valleys simulated by perfect fluid. Numerical results are given to show the displacement amplitudes on the valley floor. Our analysis indicates that the surface displacement amplitudes of the valley floor changes with the positions of the observation points apparently.