In this study, a seismic analysis of semi-sine shaped alluvial hills above a circular underground cavity subjected to propagating oblique SH-waves using the half-plane time domain boundary element method (BEM) was carried out. By dividing the problem into a pitted half-plane and an upper closed domain as an alluvial hill and applying continuity/boundary conditions at the interface, coupled equations were constructed and ultimately, the problem was solved step-by-step in the time domain to obtain the boundary values. After solving some verification examples, a semi-sine shaped alluvial hill located on an underground circular cavity was successfully analyzed to determine the amplification ratio of the hill surface. For sensitivity analysis, the effects of the impedance factor and shape ratio of the hill were also considered. The ground surface responses are illustrated as three-dimensional graphs in the time and frequency domains. The results show that the material properties of the hill and their heterogeneity with the underlying half-space had a significant effect on the surface response.

在这项研究中，使用半平面时域边界元方法（BEM）对圆形地下腔上方的半正形冲积丘进行了传播斜SH波的地震分析。通过将问题划分为有凹坑的半平面和作为冲积丘陵的上封闭域，并在界面处应用连续性/边界条件，构造了耦合方程，最终，在时域中逐步解决了该问题。获得边界值。在解决了一些验证实例之后，成功地分析了位于地下圆形空腔上的半正弦形冲积丘陵，以确定丘陵表面的放大率。为了进行敏感性分析，还考虑了阻抗系数和丘陵形状比的影响。地面响应在时域和频域中显示为三维图。结果表明，丘陵的物质性质及其与下伏半空间的异质性对地表响应有显着影响。