基于改进Logistic迭代可靠度算法的地下转露天矿边坡稳定性研究
Stability study of underground to open‑pit mine slopes based on improved Logistic iterative reliability algorithm
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摘要:
地下转露天开采形成的复合矿山边坡受历史井巷工程扰动及复杂地质构造影响,岩体 结构呈现显著非均质性,传统稳定性分析方法难以精确表征其失效概率。针对复杂可靠度函数求 解困难的问题,创新性地提出一种基于Logistic迭代方程的可靠度指标β 计算方法。该方法通过动 态优化迭代步长与收敛阈值,显著提升梯度下降算法的计算效率与稳定性,有效解决了高维非线 性极限状态方程的可靠度求解难题。以典型地下转露天矿山柿竹园矿为研究对象,根据其工程地 质条件,进行了地下转露天边坡地质分区,构建了最终境界边坡简化Bishop法和Janbu分析法极限 状态超平面模型,精确地计算了边坡的可靠度。研究结果表明,柿竹园矿地下转露天开采各边坡 的可靠度均大于2.42,满足公路边坡国家标准,获得最终境界边坡稳定的研究结论。
Abstract:The composite mine slopes formed by transitioning from underground to open‐pit mining are affected by historical shaft disturbances and complex geological structures,resulting in significant heterogeneity in the rock mass structure. Traditional stability analysis methods struggle to accurately characterize their failure probability. To address the challenge of solving complex reliability functions,an innovative method was proposed for calculating the reliability index β based on the Logistic iterative equation.This method dynamically optimized the iterative step size and convergence threshold,significantly enhancing the computational efficiency and stability of the gradient descent algorithm and effectively solving the reliability calculation problem for high‐dimensional nonlinear limit state equations. By taking the typical underground to open‐pit mine,the Shizhuyuan Mine,as the research object,the geological zoning of the mine slope was performed based on its engineering geological conditions. Bishop and Janbu limit state hyperplane models for the final pit slope were constructed,enabling precise calculation and study of the slope reliability. The results show that the reliability values of all slopes in the Shizhuyuan Mine exceed 2.42,meeting the national standard for highway slopes,thereby confirming the stability of the final pit slope.
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