采用了一种波函数级数与有限元相结合的混合方法，研究在半空间或 全空间中任意开挖地形或局部不均匀介质在入射地震波作用下的动力反应． 用简便的有限元方法模拟包含不均匀介质的近场，均匀无限远场用一系列 波函数级数来表示．对于半空间问题，在延伸至无限远表面上强令一些点 满足应力自由条件．计算结果与所获得的解析值比较吻合． A hybrid method combining the series of wave functions and the finite element method was used to study the dynamic response of an arbitrary excavated terrain or local inhomogeneous medium under incident seismic waves in a half-space or full-space. A simple finite element method is used to simulate the near field containing an inhomogeneous medium, and the uniform infinite field is represented by a series of wave function series. For the half-space problem, some points are forced to satisfy the stress free condition on the surface extending to infinity. The calculated results are in good agreement with the analytical values ​​obtained.