充填体荷载作用下采空区顶板稳定性研究
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摘要
在金属矿山的回采过程中,充填体下采空区顶板结构普遍存在于利用充填体进行回采的矿山。确定合理厚度在矿山开采过程始末具有重要的安全意义和经济价值。本文合理简化顶板力学模型,运用突变理论分析方法,依据尖点突变模型失稳的充要条件,从而得出充填体荷载作用下采空区顶板厚度的计算式。结合矿山实例,对其合理性进行验证。研究表明:将尖点突变模型运用到顶板结构稳定性分析及顶板厚度设计中是合理可行的。
In the mining process of metal mines,the roof structure under backfill generally exists in mines where backfill is used for mining.It is of great safety and economic value to determine the reasonable thickness in the mining process.In this paper,the mechanical model of roof was simplified reasonably,and the formula of roof thickness under the action of filling body was obtained according to the sufficient and necessary condition of the instability of the catastrophe model at the cusp by using the method of catastrophe theory.The rationality of the mine was verified by an example of mine.The results indicated that it was reasonable and feasible to apply the cusp catastrophe model to the stability analysis of roof structure and the design of roof thickness.
In the mining process of metal mines,the roof structure under backfill generally exists in mines where backfill is used for mining.It is of great safety and economic value to determine the reasonable thickness in the mining process.In this paper,the mechanical model of roof was simplified reasonably,and the formula of roof thickness under the action of filling body was obtained according to the sufficient and necessary condition of the instability of the catastrophe model at the cusp by using the method of catastrophe theory.The rationality of the mine was verified by an example of mine.The results indicated that it was reasonable and feasible to apply the cusp catastrophe model to the stability analysis of roof structure and the design of roof thickness.
引文
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[10]徐恒,王贻明,吴爱祥,等.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.
[2]陈强,周先雁.岩锚梁稳定性影响因素模糊灰色关联分析模型及其应用[J].中南大学学报(自然科学版),2015,46(9):3488-3495.
[3]王金安,彭苏萍,孟召平.承压水体上对拉面开采底板岩层破坏规律[J].北京科技大学学报,2002(3):243-247.
[4]林杭,曹平,赵延林,等.强度折减法在Hoek-Brown准则中的应用[J].中南大学学报(自然科学版),2007,38(6):1219-1224.
[5]赵延林.“对‘基于突变理论的采空区重叠顶板稳定性强度折减法及应用’的讨论”的答复[J].岩石力学与工程学报,2011,30(3):646-648.
[6]徐晓鼎,周跃进,庞顺.石膏矿老采空区塑性支撑系统的突变失稳分析[J].岩石力学与工程学报,2018,37(11):2548-2555.
[7]田成成,张盛生,张磊,等.基于尖点突变理论及非趋势波动分析的滑坡稳定性及变形特征研究[J].大地测量与地球动力学,2018,38(8):806-810.
[8]周辉,胡善超,卢景景,等.板裂体组合条件下岩爆倾向性分析[J].岩土力学,2014,35(增刊2):1-7.
[9]张钦礼,曹小刚,王艳利,等.基于尖点突变模型的采场顶板-矿柱稳定性分析[J].中国安全科学学报,2011,21(10):52-57.
[10]徐恒,王贻明,吴爱祥,等.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.