Wave scattering of plane waves by irregularities in a transversely isotropic (TI) saturated half-space has been rarely studied. Based on Biot's theory, this paper used an indirect boundary element method (IBEM) to solve the two-dimensional (2D) wave scattering of incident plane qP1- and qSV-waves by irregularities in a layered TI saturated half-space. 2D dynamic Green's functions for uniformly distributed loads as well as pore pressure acting on internal inclined line in a layered TI saturated half-space are derived. The method was verified by comparing with two published results for isotropic medium. The canyon, partially filled alluvial valley and fully filled alluvial valley with trapezoidal cross-section are covered in numerical calculations. Results show that the dynamic responses of the three types of irregularities are significantly different. The peak surface displacement amplitude of the fully filled alluvial valley case is up to approximately twice as much as that of the canyon case. The influences of TI property on the three irregularities are apparent, and the soft sedimentary material is more sensitive to TI property. Besides, the ground motion of the local irregularities strongly affected by the incident angle and frequency of plane wave.

很少研究横波各向同性（TI）饱和半空间中由于不规则而引起的平面波的波散射。基于Biot的理论，本文使用间接边界元方法（IBEM）通过分层的TI饱和半空间中的不规则性来解决入射平面qP1-和qSV波的二维（2D）波散射。推导出二维动态格林函数，用于均匀分布的载荷以及作用在分层TI饱和半空间中内部倾斜线上的孔隙压力。通过与各向同性介质的两个公开结果进行比较，验证了该方法。数值计算涵盖了峡谷，部分填充的冲积谷和具有梯形横截面的完全填充的冲积谷。结果表明，三种类型的不规则现象的动力响应存在显着差异。完全充满的冲积谷情况的峰值表面位移幅度大约是峡谷情况的两倍。TI的性质对这三个不规则性的影响是显而易见的，并且软沉积材料对TI的性质更加敏感。此外，局部不平整的地震动受平面波入射角和频率的强烈影响。