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提出基于类框架结构模型QR法的残采间柱条件下空区群顶板失稳分析方法,通过构建采空区群类框架结构受力分析模型,建立采空区群内节点位移函数表达式,采用改进后的QR法计算单元空区关键部位的应力和位移幅值,结合应力和位移失稳判据,研究残采间柱条件下采空区群顶板的稳定性。某金矿1570m中段间柱采动前后采空区群顶板对比计算表明,间柱回采前,各顶板均处于稳定状态;间柱回采后,仅回采中段顶板最大竖向位移与最大拉应力均大于允许阀值,该顶板处于不稳定状态,有失稳风险。现场回采工程结束后,1570 m中段顶板严重失稳,上部覆岩汇入,空区与地表贯通,验证了该方法的可靠性。
This paper proposes a method to analyze the instability of the roof of a group of gob-free sub-cluster based on the QR method of the frame-like structure model. By constructing the force analysis model of the gruop-like framework, the displacement function formula of the gob- The improved QR method was used to calculate the stress and displacement amplitude of the key part in the empty cell. The stability of the roof of the goaf under the condition of residual columns was studied by combining the stress and displacement instability criterion. Comparisons of the roofs of the mined-out area before and after the pillar mining in a 1570m middle section of a gold mine show that the roofs are in a stable state before the reclamation of the mines. After the reclamation, the maximum vertical displacement and the maximum tensile stress Allow threshold, the roof is unstable, risk of instability. After the completion of on-site mining project, the roof of the middle section of 1570 m suffered serious instability, the upper overlying strata invaded and the open space and surface penetrated, which verified the reliability of the method.