基于突变理论的矿柱失稳破坏研究

摘要

针对岩体变形破坏具有的突变性,结合材料力学理论,建立了岩梁-矿柱的尖点突变模型.利用该模型研究矿柱失稳破坏发生的机理,并得出系统发生失稳破坏的条件及发生失稳破坏时系统释放的能量.研究结果表明,岩梁-矿柱系统的稳定性取决于系统自身的力学-几何特性,与外界因素无关.最后,以某金矿为实例,利用系统失稳条件对其采场结构参数的选取合理性进行了分析判断.%In view of the mutability in deformation and failure of the rock mass, and combined with the theory of the material mechanics, a cusp catastrophe model of rock beam-pillar was build. The destabilization mechanism of pillar was analyzed, and the conditions and energy of system failure also were found through the model. The research results show that the stability of rock beam-pillar depends on the mechanical geometry characteristic of the system, and it has nothing to do with the external factors. Finally, with a gold mine as a case, the rationality of selecting the structural parameters of stope were analyzed and judged through the instability condition of system.