(1. School of Civil and Environment Engineering，University of Science and Technology Beijing，Beijing 100083，China；
2. Key Laboratory of High-efficient Mining and Safety of Metal Mines，Ministry of Education，University
of Science and Technology Beijing，Beijing 100083，China)
Abstract：The roof structure above goaf is prevalent in mines which use backfill method. Determining the reasonable thickness of the roof under the loads of filling body is important to guarantee the mine safety. The mechanisms of formation and failure of the roof above the goaf under the filling body were analyzed and a mechanical stability model of the roof structure was established to analyze the instability mechanism by applying the cusp catastrophe theory. The expression of the limit thickness of the goaf roof under filling body was deduced according to the sufficient condition and necessary condition of roof structure instability in cusp catastrophe model. The expression was applied to a lead and zinc mine and the safe roof thickness was calculated to be larger than 11.48 m. 12 m was used as the safe thickness and verified in the practical production and numerical simulation.
徐 恒1，2，王贻明1，2，吴爱祥1，2，李芳芳1，高维鸿1，2. 基于尖点突变理论的充填体下采空区安全顶板厚度计算模型[J]. 岩石力学与工程学报, 2017, 36(3): 579-586.
XU Heng1，2，WANG Yiming1，2，WU Aixiang1，2，LI Fangfang1，GAO Weihong1，2. A computational model of safe thickness of roof under filling body based on cusp catastrophe theory. , 2017, 36(3): 579-586.
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2017, Vol. 36 
