The stability of an arching slope in deformable materials above strong rocks strongly depends on the shape and width of the span. Equations for a free surface problem that incorporate these two parameters were derived using a simplified two-dimensional arching slope model, and were validated using physical model tests under 1g and centrifugal conditions. The results are used to estimate the maximum excavation width for a weak claystone slope in a lignite mine, for which we calculate a safety factor of 1.31.

中文翻译：

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考虑拱效应的稳定边坡的几何形状和最大宽度

在坚硬岩石上方的可变形材料中，拱形斜坡的稳定性很大程度上取决于跨度的形状和宽度。结合了这两个参数的自由表面问题的方程式是使用简化的二维拱形坡度模型导出的，并通过在1 g和离心条件下的物理模型测试进行了验证。该结果用于估算褐煤矿中弱粘土岩边坡的最大开挖宽度，为此我们计算出安全系数为1.31。