In carrying out stability analysis of rock slopes, it is inevitable to deal with the geometrical and geomechanical parameters that are approximate in nature. The geometrical parameters, namely dips and dip directions of discontinuities, are conventionally selected by drawing the density contours on stereonet and then picking the point with the highest density. The density contours in itself clearly show the approximation inherent in the geometrical parameters. Moreover, inexactness involved in expressing the geomechanical parameters such as cohesion and friction angle of the rock mass or the rock joints must also be considered in the analyses. The theory of fuzzy sets capable of dealing with vague and inexact parameters is an ideal tool for this kind of problem. In this study, an algorithm is proposed based on the theory of fuzzy sets to assess the stability analysis of rock slopes. To this end, a 3-D membership function is proposed to represent the approximate nature of discontinuities. Incorporating the proposed fuzzy sets for the discontinuities together with the suitable fuzzy sets assigned to the geomechanical parameters, the final fuzzy safety factor is determined accordingly. Finally, practical applications of the proposed method are illustrated using actual field records.

中文翻译：

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边坡稳定性随机分析：模糊集理论的应用

在进行岩质边坡稳定性分析时，不可避免地要处理本质上近似的几何参数和地质力学参数。几何参数，即不连续点的倾角和倾角方向，通常是通过在立体网络上绘制密度轮廓然后选择密度最高的点来选择的。密度轮廓本身清楚地显示了几何参数中固有的近似值。此外，在分析中还必须考虑表示岩体或岩石节理的凝聚力和摩擦角等地质力学参数所涉及的不精确性。能够处理模糊和不精确参数的模糊集理论是解决此类问题的理想工具。在这项研究中，提出了一种基于模糊集理论的岩质边坡稳定性分析算法。为此，提出了一个 3-D 隶属函数来表示不连续性的近似性质。将建议的不连续性模糊集与分配给地质力学参数的合适模糊集相结合，相应地确定最终的模糊安全系数。最后，使用实际现场记录说明了所提出方法的实际应用。