AHP-Critic法正态云模型在边坡稳定性评价中的应用

针对露天矿山边坡稳定性评价中的随机性和模糊性问题，提出了一种基于AHP-Critic法的正态云模型边坡稳定性分析方法。首先，选取容重γ、黏聚力c、内摩擦角φ、坡高H和坡角α这五种具有代表性的边坡稳定性评价指标，然后基于AHP法和Critic法确定指标主客观权重，再采用乘法合成归一化方法求出综合权重；并结合正态云模型理论，确定边坡稳定性等级；最后，将该模型运用于云南某石灰岩矿山，且与强度折减法和极限平衡法计算结果进行对比验证。结果表明，该方法可行且预测结果准确，可为类似矿山边坡稳定性分析提供一种新的评价方法。

Slope stability analysis of normal cloud model based on AHP-Critic method

A normal cloud model slope stability analysis method based on AHP-Critic method is proposed to address the randomness and fuzziness issues in stability evaluation of open-pit mine slopes. Analyze five representative, relevant, quantifiable, and easily obtainable slope stability evaluation indicators, including density, cohesion, friction angle, slope height, and slope angle. Firstly, the subjective and objective weights of the five indicators are obtained based on the AHP and Critic methods. Then use the multiplication synthesis normalization method to obtain the comprehensive weight. Secondly, the above indicators are divided into five grades, namely Grade I (very stable); Grade II (stable); Grade III (basically stable); Grade IV (unstable); Grade V (very unstable). Then, calculate the cloud feature parameters for each indicator at different levels. Using Python software, calculate membership based on measured slope data and cloud feature parameters. Calculate the comprehensive determination of slope stability level using the obtained comprehensive weights and membership degrees. Determine the slope stability level based on the principle of maximum membership. Finally, the model was applied to a limestone mine in Yunnan. The prediction grades of each profile of the normal cloud model based on the AHP-Critic method are II, I, and III, that is, stable, very stable, and basically stable. Based on the on-site investigation and experimental results of rock mechanics parameters, three-dimensional and two-dimensional numerical simulations of the mine slope were constructed. The slope Factor of safety is calculated by FLAC3D7.0 and Slide6.0. The Factor of safety calculated by numerical simulation meets the specification requirements. The prediction results obtained from the model built in this paper are compared with the calculation results of the strength reduction method and the limit equilibrium method used by the two software. The research results indicate that this method is feasible and the prediction results are accurate, which can provide reference for the stability analysis of the mine slope.