基于GABP优化模糊测度方法的节理化露天矿边坡稳定性分析

Stability analysis of jointed open-pit mine slopes based on GABP-optimized fuzzy measure method

  • 摘要: 目前常用的极限平衡法、有限元强度折减法等露天矿边坡稳定性分析方法以安全系数作为唯一判据而存在一定的局限性,提出采用可有效处理模糊性和不确定性的模糊测度方法开展露天矿边坡稳定性分析。针对该方法中模糊参数难以精确确定的问题,设计了遗传算法(GA)优化BP神经网络(GABP)模型,用于预测模糊参数。实验结果表明,GABP模型预测模糊参数\xi 和η的平均相对误差分别为3.66%和3.25%,均低于BP神经网络。将GABP模型预测的模糊参数代入模糊测度方法,对高村铁矿边坡稳定性进行分析,计算得边坡失稳概率为0.155 4,判断为整体稳定、局部失稳,与现场监测情况高度吻合。采用有限元强度折减法、Bishop法进一步验证基于GABP优化模糊测度方法的准确性,结果表明3种方法的计算结果一致,但基于GABP优化模糊测度方法计算成本更低、效率更高,可准确表征边坡从稳定到失稳状态的渐进演变过程,更符合边坡工程的实际情况。

     

    Abstract: At present, commonly used open-pit mine slope stability analysis methods, such as the limit equilibrium method and the finite-element strength reduction method, rely on the safety factor as the sole criterion, which presents certain limitations. This study proposed the use of a fuzzy measure method, which effectively handled fuzziness and uncertainty, to conduct slope stability analysis for open-pit mines. To address the difficulty of accurately determining fuzzy parameters in this method, a Genetic Algorithm (GA)-optimized BP neural network (GABP) model was designed to predict the fuzzy parameters. The experimental results showed that the mean relative errors of the GABP-predicted fuzzy parameters \xi and η were 3.66% and 3.25%, respectively, both lower than those of the BP neural network. By substituting the fuzzy parameters predicted by the GABP model into the fuzzy measure method, the stability of the slope in the Gaocun Iron Mine was analyzed. The calculated slope failure probability was 0.155 4, indicating overall stability with local instability, which was highly consistent with field monitoring results. The finite-element strength reduction method and the Bishop method were further used to validate the accuracy of the GABP-optimized fuzzy measure method. The results showed that the three methods yielded consistent outcomes, whereas the GABP-optimized fuzzy measure method required lower computational cost and provided higher efficiency. It also accurately characterized the progressive evolution of the slope from stability to failure, which better matched practical engineering conditions.

     

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