基于CRITIC-GRA-AHP法的敏感性排序理论及其在边坡稳定性分析中的应用

Sensitivity Ranking Theory based on CRITIC-GRA-AHP Method and its Application in Slope Stability Analysis

边坡稳定是矿山安全生产的基础,研究边坡稳定性影响因素敏感性顺序具有重要的理论和实际意义。针对单一主观算法受主观影响较大和单一客观算法结果与现场实际情况偏差较大且仅能分析特定工况的不足,提出了基于CRITIC-GRA-AHP法的敏感性排序理论。以川西北某石灰石矿山为例,在分析确定坡高、最终边坡角、重度、黏聚力、内摩擦角、体积模量等边坡稳定性影响因素的基础上,采用FLAC3D结合基于CRITIC-GRA-AHP联合算法的敏感性排序理论对矿山边坡稳定性影响因素敏感性进行了分析。结果表明:天然工况下边坡稳定性影响因素敏感性由大到小依次为黏聚力、坡高、最终边坡角、内摩擦角、重度、体积模量;暴雨工况下边坡稳定性影响因素敏感性由大到小依次为黏聚力、坡高、内摩擦角、最终边坡角、重度、体积模量;地震工况下边坡稳定性影响因素敏感性由大到小依次为坡高、内摩擦角、重度、最终边坡角、黏聚力、体积模量。在此基础上,采用云模型理论对最终边坡角进行了优化,确定矿山边坡最终边坡角以51°为宜,此分析结果与矿山实际情况一致。研究成果可为类似矿山边坡灾害预测预防及后续工程处理提供参考。

Slope stability is the basis of mine safety production.It is of great theoretical and practical significance to study the sensitivity order of influencing factors of slope stability.In view of the fact that the single subjective algorithm is greatly influenced by the subjective and the single objective algorithm has a large deviation from the actual situation and can only analyze the specific working conditions,a sensitivity ranking theory based on CRITIC-GRA-AHP method was proposed.Taking a limestone mine in northwest Sichuan as an example,on the basis of analyzing and determining the influencing factors of slope stability such as slope height,final slope angle,gravity,cohesion,internal friction angle and bulk modulus,the sensitivity of influencing factors of mine slope stability was analyzed by FLAC3D combined with the sensitivity ranking theory based on CRITIC-GRA-AHP algorithm.The results show that the sensitivity ranking of the influencing factors of slope stability under natural condition from large to small is cohesion,slope height,final slope angle,internal friction angle,gravity and bulk modulus.The sensitivity ranking of the influencing factors of slope stability under rainstorm condition from large to small is cohesion,slope height,internal friction angle,final slope angle,gravity and bulk modulus.The sensitivity ranking of the influencing factors of slope stability under seismic condition from large to small is slope height,internal friction angle,gravity,final slope angle,cohesion and bulk modulus.On this basis,the cloud model theory was used to optimize the final slope angle,and it is determined that the final slope angle of the mine slope is 51°.This analysis result is consistent with the actual situation of the mine.The research results can provide a reference for the prediction and prevention of similar mine slope disasters and subsequent engineering treatment.