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应用初始后屈曲理论和尖点突变理论,探讨了缓斜煤层采场初次来压时基岩老顶破断后的不稳定性态。根据顶板结构的分岔集方程及分岔状态下的临界平衡条件,确定了基岩老顶的破断步距和断裂下沉,建立了岩块台阶下沉和回转失稳的判据。研究结果表明,顶板岩层破断后岩块处于稳定平衡或不稳定平衡状态:稳定平衡状态下,顶板的破断步距和断裂下沉之间存在着确定的关系;不稳定平衡状态下,岩块的台阶下沉与回转失稳必居其一;应用初始后屈曲理论和尖点突变理论,可根据缓斜煤层长壁工作面顶板结构的结构特征、岩体材料、以及上覆厚松散沙层等赋存状况,预测基岩老顶采场初次来压时可能出现的灾害形式。
The initial post-buckling theory and cusp catastrophe theory are applied to investigate the instability state of the bedrock after the roof ruptures when the caving coal seam stope is first pressed. According to the bifurcation equations of the roof structure and the critical equilibrium conditions under the bifurcation condition, the rupture step and fracture subsidence of the roof of the bedrock are determined, and the criterion of rock subsidence and slewing instability is established. The results show that the rock mass is in stable equilibrium or unstable equilibrium after the rock roof is broken: there is a definite relationship between the breaking step of the roof and the subsidence of the fracture in the state of steady equilibrium; in unstable equilibrium, According to the initial post-buckling theory and cusp catastrophe theory, according to the structural characteristics of the roof structure of the longwall face in gently inclined coal seam, the rock mass material, and the overlying loose loose sand layer Occurrence of the situation to predict the bedrock of the old top stope to the first possible form of disaster.