基于超静定理论及数值模拟的胶结矿柱稳定性分析

 为科学、精确地评价井下胶结矿柱的稳定性，提出基于超静定理论及数值模拟的矿柱稳定性分析方法。将人工胶结矿柱简化为超静定结构，建立超静定理论模型，计算矿柱在尾砂充填体不均匀侧压载荷、自重和顶部冒落拱压力综合作用下的最大应力，并采用Midas 有限元软件模拟分析矿柱的有效应力及应变位移，结合废石块胶结模型的单轴抗压强度试验值对矿柱的稳定性进行评价。以大红山铜矿人工胶结矿柱为例的分析结果显示，超静定理论模型计算的最大应力为6.27 MPa，数值模拟的最大应力、最大位移为3.55 MPa 和40.46 mm，试验测得的胶结废石块模型单轴抗压强度为10.9 MPa，表明采用超静定理论计算与数值模拟相结合评价矿柱稳定性的方法可行。

Analysis of Cement Pillar Stability Based on Hyperstatic Structure Theory and Numerical Simulation

In order to evaluate the stability of cement pillar scientifically and accurately, an analytic evaluation method that is based on the theory of statically indeterminate structure and numerical simulation is proposed. An artificial pillar is simplified to a statically indeterminate structure and the maximum stress is calculated by an indeterminate model using the comprehensive action of tailings backfill lateral pressure, top loose rock pressure and its own gravity. The pillar stability is tested by uniaxial compressive test data on cemented waste-rock and the finite element analysis software Midas, which is used to simulate the loading force and output the effective stress and strain-displacement. The cement pillar of Dahongshan copper mine is used as an example, and it is shown that the maximum stresses by statically indeterminate theory and simulation software are 6.27 MPa and 3.55 MPa, respectively, the maximum strain-displacement is 40.46 mm, and the cemented waste-rock uniaxial compressive strength is 10.9 MPa. All of the above shows that it is feasible to test the pillar stability by the method of statically indeterminate and numerical simulation.