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针对任意三维复杂局部场地对地震波的散射问题,发展了一种有限元–间接边界积分方程耦合方法(FEM-IBIEM)。其中IBIEM利用层状半空间集中荷载动力格林函数,可精确实现半无限层状介质中波的辐射条件,同时可大幅度降低计算内存;FEM可方便处理近地表复杂场地的几何、材料特征。在精度检验基础上,以三维沉积盆地和山体对地震波的散射为例,展示了方法对复杂局部场地反应问题的适应性,同时针对三维盆地效应和山体震动得出了一些有益结论。计算方法可应用于层状无限域中任意不均质体对弹性波的散射求解。
In order to solve the scattering problem of seismic waves in any three-dimensional complex local site, a finite element-indirect boundary integral equation coupling method (FEM-IBIEM) is developed. Among them IBIEM utilizes the layered half-space concentrated dynamic Green’s function, which can accurately realize the wave radiation conditions in semi-infinite layered media and can greatly reduce the computational memory. FEM can conveniently handle the geometrical and material characteristics of complex near-surface sites. On the basis of the accuracy test, taking the scattering of seismic waves by 3D sedimentary basin and mountain as an example, the applicability of the method to complex local site reaction problems is demonstrated. Some useful conclusions are drawn for three-dimensional basin effect and mountainous vibration. The calculation method can be applied to the scattering of elastic waves by arbitrary inhomogeneous bodies in the layered infinite domain.