危岩体稳定性分析的三维极限平衡法  

Three-dimensional Limit Equilibrium Method for Stability Analysis of Dangerous Rock

作　　者：苏国韶[1,2,3] 刘本朝 刘友能 范秋雁 SU Guoshao;LIU Benchao;LIU Youneng;FAN Qiuyan(School of Civil and Architecture Engineering,Guangxi University,Nanning 530004,China;Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education,Nanning 530004,China;Guangxi Provincial Engineering Research Center of Water Security and Intelligent Control for Karst Region,Nanning 530004,China)

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]工程防灾与结构安全教育部重点实验室,广西南宁530004 [3]广西岩溶区水安全与智慧调控工程研究中心,广西南宁530004

出　　处：《金属矿山》2025年第1期72-80,共9页Metal Mine

基　　金：国家自然科学基金项目(编号:52169021)。

摘　　要：针对二维极限平衡法不完全适用于三维危岩体稳定性分析的问题,根据极限平衡理论,考虑结构面宽度方向两侧贯通程度不一致时危岩体具有侧向扭转倾向的情况,提出了一种改进的危岩稳定性分析的三维极限平衡法。该方法通过对危岩体主控结构面进行拉伸拓展,得到三维计算简图,进而对三维计算简图进行受力分析,计算其抗滑(扭)力(矩)和滑动(扭转)力(矩)的比值,得出了滑移式、坠落式和倾倒式3类危岩相应的稳定性系数计算公式,依据所提公式与数值模拟分析了侧向贯通率及上部贯通率对危岩稳定性的影响。研究表明:随着侧向贯通率及上部贯通率增大,危岩体稳定性呈下降趋势。相较于传统的二维极限平衡法,所提方法计算精度更高,计算相对误差降低了50%以上,并且能够同时适用于主控结构面竖向与侧向完全贯通条件与不完全贯通条件下的危岩稳定性分析,有效解决了现行规范推荐的二维极限平衡法无法考虑主控结构面侧向贯通影响的问题,扩展了二维极限平衡分析方法的适用范围,丰富了危岩稳定性分析理论。In order to improve the practicality of the two-dimensional limit equilibrium method in the application of the 3D stability analysis of dangerous rock,this study established a three-dimensional approach based on the principles of limit equilibrium theory.The proposed method takes into consideration the effects of location and degree of the lateral penetration on the main structural planes.During force analysis,an extended three-dimensional sketch obtained by stretching and expanding the main structural surface of dangerous rock was applied.Through the comparison between the ratio of anti-slip force(anti-torsional moment)and slip force(torsional moment),the calculation formulas of stability coefficient of different dangerous rock masses were determined,including sliding,falling and toppling types.In addition,based on the proposed formula and numerical simulation,the influence of lateral penetration rate and upper penetration rate on the stability of dangerous rock was analyzed.The results indicate that the stability of the dangerous rock mass tends to decrease as the lateral penetration rate and the upper penetration rate increase.The proposed method is feasible and more accurate than the traditional two-dimensional limit equilibrium method,with the relative error of calculation reduced by more than 50%,and it can be effectively applied to the stability analysis of dangerous rock mass under both completely and partially penetrated lateral conditions of main structural planes,successfully overcoming the limitation of existing two-dimensional limit equilibrium method.Moreover,it extends the two-dimensional limit equilibrium analysis method and enriches the theory of critical rock stability analysis.

关 键 词：危岩 崩塌 稳定性系数 极限平衡法 

分 类 号：TD325[矿业工程—矿井建设]