The wave function expansion method is used to propose a semi-analytical solution for the scattering of plane SH waves by a canyon group containing an arbitrary number of semicircular canyons (including an infinite number of periodically distributed ones). The frequency-domain solution is verified by comparing with two past solutions for a single canyon and two canyons, respectively. A systematic parametrical analysis is carried out in the frequency domain with respect to the size, distribution, quantity, and spacing distance of the canyons. It is found that the surface displacement amplitudes of the canyon group are intensified and reduced relative to those of a single canyon for vertical and grazing incidences of SH waves, respectively. Time-domain results are obtained by the inverse FFT after verification by a hybrid time-domain finite element-boundary element approach. Significant differences in wave propagating and scattering are illustrated between a canyon group and a single canyon. The canyon group can amplify the vertically incident waves by focusing and reduce the grazing incident waves by continuous shielding.

波函数展开法被用来为包含任意数量的半圆形峡谷（包括无限数量的周期性分布的峡谷）的峡谷群对平面SH波的散射提出半解析解。通过分别与单个峡谷和两个峡谷的两个过去解决方案进行比较来验证频域解决方案。关于峡谷的大小，分布，数量和间隔距离，在频域中进行了系统的参数分析。可以发现，相对于单个峡谷，对于SH波的垂直入射和掠射入射，峡谷群的表面位移幅度都得到了增强和减小。时域结果是在通过混合时域有限元边界元方法进行验证后，通过逆FFT获得的。说明了一个峡谷群和一个峡谷之间波传播和散射的显着差异。峡谷群可以通过聚焦来放大垂直入射波，并通过连续屏蔽来减少掠入射波。