基于重整化群理论的采空区煤柱群临界失稳概率研究

为对房柱式采空区煤柱群安全稳定性进行客观评价，以概率分析为手段结合重整化群理论，深入研究了煤柱个体与相邻煤柱之间的荷载传递规律及煤柱群-顶板系统临界稳定性。得出结论:重整化群理论可适用于采空区煤柱群稳定性分析，确定煤柱群临界概率范围为0.147≤p*≤0.333；煤柱失稳荷载传递过程中的损失程度可用荷载传递系数α衡量，临界破坏概率p*随着荷载传递系数α的增加而递减；针对不同工况，需通过试验或现场实测获得传递系数α，才能准确的确定煤柱临界概率p*。

Study on critical instability probability of coal pillar group in goaf based on renormalization group theory

To objectively evaluate the safety stability of coal pillar group in room and pillar goaf, taking probability analysis as means and combined with renormalization group theory, the load transfer law between individual coal pillar and adjacent coal pillars and the critical stability of coal pillar group and roof system were studied deeply. The results showed that the renormalization group theory is applicable to the stability analysis of coal pillar group in goaf, and the range of critical probability for coal pillar group is 0.147≤p*≤0.333. The degree of damage in the process of coal pillar instability load transfer can be measured by load transfer coefficient α.With the increase of load transfer coefficient α, the critical failure probability p* decreases; Aiming at different conditions , it is necessary to obtain the transfer coefficient α by experiment or field test, then the critical probability of coal pillar p* can be determined accurately.