In this study, the singular boundary method (SBM) is extended to simulate the dynamic response of the half-space saturated soils in the frequency domain. The SBM employs the fundamental solutions of the governing equations as basis functions. Thus, the domain of interest can be discretized into several source points merely on the boundary, which makes the SBM available to describe the wave propagation in the half-space soil medium. The source singularity caused by the coincidence of collocation points and source points is overcome by the origin intensity factors (OIFs), which is given for the unclosed boundary. Two numerical examples exhibit the feasibility and advantages of the proposed SBM.

在这项研究中，奇异边界法（SBM）被扩展到模拟半空间饱和土在频域中的动态响应。SBM 采用控制方程的基本解作为基函数。因此，感兴趣的域可以被离散为仅在边界上的几个源点，这使得 SBM 可用于描述半空间土壤介质中的波传播。由配置点和源点重合引起的源奇异性被原点强度因子（OIF）克服，它是针对非闭合边界给出的。两个数值例子展示了所提出的 SBM 的可行性和优势。