SH波对多个凸起与凹陷相连地形的散射问题研究

以双等腰三角形凸起与半圆形凹陷相连地形为例，研究了SH波对复杂地形的散射问题．利用分区求解的方法，把求解模型分割成3个区域，利用复变函数和多极坐标的方法分别构造各个区域内满足边界条件的波函数，根据公共边界上的位移和应力连续条件建立方程组，求解方程组得到各未知系数．最后给出复杂地形的地表位移，并分析了波数、入射角等不同因素对复杂地形造成的散射影响．

Research on Scattering of SH-Waves on Multiple Hills and Canyons

Taking two triangular hills joined by a semi cylindrical canyon as an example, scattering of SH waves by complicated terrain were studied. The model was divided into three domains. The wave functions satisfying the boundary condition at each domain were constructed by complex function and moving coordinate methods. The algebraic equations were constructed according to the conjunction of displacement and stress. After solving the equations, the unknown coefficients were acquired. At last, the surface displacement were provided and the influence of different factors such as wave numbers and incident angles were discussed.