基于基本顶断裂位置分析剩余煤柱稳定性*

为简化支承应力表达式及全面分析煤柱稳定性，基于基本顶断裂位置建立工作面剩余煤柱载荷力学模型，将指数函数型支承应力曲线简化为与其拟合的幂函数抛物线，推导出剩余煤柱载荷及极限宽度B表达式。计算得出312工作面基本顶断裂位置与非开采帮塑性区边缘距离d为8.6~11.5 m，B为8.06~8.85 m。研究结果表明:随着d增加，煤柱载荷及B均逐渐增大；B随煤层黏聚力与内摩擦角的增加而减小，随煤层埋深、应力集中系数、侧压力系数、煤层厚度及工作面采高的增加而增大。研究结果有助于更加全面地分析煤柱稳定性，为工程实践提供一定理论指导。

Analysis on stability of residual coal pillars based on fracture position of basic roof

In order to simplify the expression of supporting stress and comprehensively analyze the stability of coal pillars,based on the fracture location of basic roof,a mechanical model of the load on the residual coal pillars was established.The expressions of load and limit width (B) of the residual coal pillars were derived by simplifying the exponential function type supporting stress curve into a power function parabola fitted to it.The distance between the fracture location of basic roof in 312 working face and the boundary of the non-mining side plastic zone (d) was about 8.6~11.5 m,and B was about 8.06~8.85 m.The results showed that both the load and B of the coal pillars increased gradually with the increase of d.The B decreased with the increase of coal seam cohesion force and internal friction angle,and increased with the increase of coal seam burial depth,stress concentration coefficient,lateral pressure coefficient,coal seam thickness and working height.The research results help to analyze the stability of coal pillars more comprehensively,and provide certain theoretical guidance for engineering practice.