结合快速多极子展开技术，发展一种高精度快速多域间接边界元方法，用于求解弹性半空间大规模夹杂群对平面SH波的二维散射。数值检验表明，该方法能够高效精确地求解大规模多域散射问题，同时可大幅度降低计算存储量，据此在普通电脑上可实现数百万自由度二维多域出平面散射问题快速求解，进而分别针对半空间中均匀分布和随机分布的夹杂群，探讨了夹杂群刚度、形状对其周围平面SH波散射的影响规律。研究结果表明：由于弹性波的多次散射相干，使得夹杂群对平面SH波的散射与单夹杂体存在显著差异，总波场空间分布特征和位移频谱特征更为复杂；平面SH波散射特性主要取决于夹杂体的材料软硬程度、几何形状特征和入射波的角度、频率。另外，研究方法和分析结论可为半空间复杂不均质体对SH波散射正、反演分析提供新的技术手段和理论依据。

By combining with the fast multipole expansion method (FMM), a fast and high precision multi-domain indirect boundary element method (IBEM) is developed for solving plane SH wave two-dimensional (2D) scattering by large-scale inclusions in the elastic half-space. Numerical results show that the FMM-IBEM can solve the problems of large-scale multi-domain scattering efficiently and accurately, and the storage capacity is also dramatically reduced. Then the rapid solution of millions degree-of-freedoms (DOFs) of plane SH wave scattering problem in the multi-domain is achieved on a personal computer. Finally, in the case of SH wave multiple scattering by inclusions with uniform distribution and random distribution in the half-space, the effects of stiffness and inclusion shape on plane SH wave scattering are investigated. Due to the multiple coherence scattering of elastic wave, the plane SH wave scattering by inclusion group is significantly different from that by single inclusion, and the characteristics of spatial distribution and displacement spectrum of the total wave field become complicated. The scattering properties of plane SH waves mainly depend on material hardness, geometric characteristics, the angle and frequency of incident wave. In addition, this study to some extent provides new techniques and theoretical basis for forward and inversion analysis of elastic wave scattering by complex inclusions in the half-space.