基于正交有限元的矿柱动态模糊可靠性分析

Analysis of Ore Pillar and Application Using Concept of Dynamic Fuzzy Reliability Based on Orthogonal Finite Element Method

地下矿体开采过程中矿柱的稳定性不仅具有随机性而且具有模糊性,考虑矿岩、混凝土材料参数及矿柱内应力的随机模糊性,提出了用动态模糊可靠度分析矿柱稳定性的新概念。通过多次正交试验有限元计算,得到矿体在每个开采施工步骤过程中功能函数值,并通过正交多项式拟合矿柱功能函数,从而建立矿柱单元在不同的开采施工步骤时的概率密度函数和模糊失效隶属度函数,求解矿柱单元在不同开采施工步骤时的模糊失效概率和模糊可靠度指标,获得了矿柱的模糊可靠性曲线。采用该方法对哈尔滨某钼矿Ⅰ号矿体上向水平充填采矿方案进行计算和分析,结果表明动态模糊可靠度能较好地反映矿体开采全过程的矿柱稳定性变化状况,为优化矿区开采方案和指导矿山安全生产提供了依据。

The stability of ore pillar not only has randomness but also has fuzziness during in the underground mining process,considering randomness and fuzziness for material parameters of ore rock and concrete and for the ore pillar stress-strain state,a new concept of using dynamic fuzzy reliability to analyze the ore pillar stability during the entire process in panel mining is proposed.Through the calculations by orthogonal experimentation finite element,the ore pillar＇s performance function value at each mining construction stage was got.Through orthogonal polynomial fitting ore pillar performance function to establish probability density function and failure fuzzy membership function of ore pillar element and solving it fuzzy failure probability and fuzzy reliability index in different steps of mining construction,the variation curves are obtained for the ore pillar＇s dynamic fuzzy reliability.Applying the proposed theory to calculate and analyze in the horizontal cut and fill stopping method plan for No.1 molybdenum ore body in Harbin.The results indicate that dynamic fuzzy reliability can better reflect the ore pillar stability during the entire process in underground mining and can provide basis for optimization design and for guiding safe production.