基于尖点突变模型的采场顶板-矿柱稳定性分析

采场破坏失稳是一个不连续的非线性过程。为分析矿山采场的稳定性,在建立采场顶板-矿柱的简化力学模型的基础上,结合安徽某充填采矿法矿山的采场结构参数,运用尖点突变理论分析采场突变过程中的能量释放机理,构建采场破坏失稳的尖点突变模型,推导得出系统失稳的充要力学条件。结果表明:采场中矿柱的应变软化特性和刚度比是导致系统失稳的主要因素,而矿柱的突跳量仅与系统的内在特性有关。结合矿山实例,从必要条件和充分条件2个方面对采场进行稳定性分析,表明尖点突变理论合理可行。验证了采区设置盘区矿柱等安全措施的必要性。

Stability Analysis of Stope Roof-pillar Based on Cusp Catastrophe Model

The instability and failure of stope is a discontinuous and nonlinear process.In order to analyze the stope stability,a simplified stope roof-pillar mechanical model was established,based on it,the necessary-sufficient mechanical conditions of system instability were derived.The cusp catastrophic model for instability and failure of stope was set up by cusp catastrophic theory and the stope structure parameters of certain filling mine in Anhui.The mechanism of releasing energy in catastrophe process was ana...