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针对石膏矿矿柱–护顶层支撑体系的破坏特征,结合非线性力学理论,在建立简化力学模型的基础上,构建石膏矿矿柱–护顶层支撑体系突发破坏的尖点突变模型。利用该突变模型研究石膏矿矿柱–护顶层支撑体系的破坏机制,分析支撑体系的几何参数对采空区稳定性影响。结果表明:石膏矿矿柱–护顶层支撑体系的稳定性是它的内部特性(护顶层弹性模量、护顶层厚度、矿柱之间的宽度、矿柱面积、矿柱高度)与外部荷载共同作用的结果,而位移突跳仅与内部特性有关;在对支撑体系稳定性进行调控时,优化的几何参数顺序依次是:护顶层厚度,矿柱之间的宽度,矿柱面积和矿柱高度。工程应用表明:湖北荆门荆花石膏矿采空区目前的内部几何参数已经达到了失稳的充要条件,这与现场调查具有一定的相符性。
Aiming at the failure characteristics of gypsum ore pillars and retaining roof support system, a sharp cusp catastrophe model of gypsum mine pillars and roof support system was constructed based on nonlinear mechanics theory and simplified mechanical model. This catastrophe model is used to study the failure mechanism of the pillars-retaining roof support system of gypsum mine and the influence of geometric parameters of the support system on the stability of the goaf. The results show that the stability of gypsum mine pillar - retaining roof support system is its internal characteristics (retaining layer elastic modulus, retaining roof thickness, pillar width, pillar area, mine pillar height) and external load The results show that the sudden jump is only related to the internal characteristics. In order to control the stability of the supporting system, the optimized geometrical parameters are as follows: the thickness of the top guard, the width between the pillars, the area of the pillars and the height of the pillars . The engineering application shows that the present internal geometric parameters of Jinghua Gypsum Mine in Jingmen, Hubei Province have reached the necessary and sufficient conditions for instability, which is consistent with the field investigation.