基于Hoek-Brown准则的无限岩坡稳定性概率可靠度分析研究

Study of Probabilistic Infinite Rock Slope Analysis Based on the Hoek-Brown Criterion

无限岩坡稳定性分析问题是一个概率问题。结合由Hoek-Brown准则衍生的等效Mohr-Coulomb参数,采用概率密度函数联合分布方法确定无限岩坡最终安全系数的概率分布,借助Matlab数学软件对该方法实现程序表达,并对安全系数的4个影响因素进行敏感性分析。结果表明:联合分布法可以用作对无限岩坡稳定性分析的评价;安全系数的最终概率分布曲线呈现正态分布;GSI、σci、mi和γ均值的减小对安全系数的影响程度存在差异,其中σci和γ的影响作用特别显著。

Infinite rock slope stability analysis is highly amenable to probabilistic treatment. To assecess the probability distribution of the safety factor of the infinite rock slope using the jointly distributed random variables method based on the equivalent parameters derived from the Hock-Brown criterion, the program on the basis of the MATLAB is provided, and the results verifies the feasibility of this method and shows the safety factor approximately obeys the normal distribution. The sensitivity analysis to the 4 parameters shows that the most effective parameters are σci and γ.