民窿空区群级联失稳评价

民窿空区群已构成了许多矿山安全生产的极大隐患。针对民窿空区群的特点，运用重整化群方法，从整体的角度对民窿空区群系统的稳定性问题进行了研究，得到了空区群变尺度级联失稳迭代函数。给出了判别空区群系统整体失稳的临界概率，将空区群系统失稳的复杂判别转化为单元失稳概率与临界概率大小的比较问题，同时给出了计算实例，以供参考。所建立的方法可以为大规模民窿空区群范围内的工程施工以及民窿所在矿山空区群整体稳定性评价提供参考，同时也为认识一般空区群系统的失稳机理开辟了一条新的途径。

Evaluation of cascading collapse for private mined zone groups

The private mined zone groups have become one of the most potential safety hazard for many mines. In light of the characteristics of private mined zone groups, the renormalization group approach was used to study the systematic stability of the zone groups, and the iterated cascading collapse function of varied scale was obtained. The critical probability of overall collapse was presented, which simplifies the identification of the systematic collapse of zone groups to the comparison of the cell instability with the critical overall collapse probability, and an example was offered for reference as well. The established method can serve as a guidance for engineering construction in the scope of private mined zone groups and a reference for stability evaluation in mines where private mined zone groups prevail, at the same time, it offers also a new view point to understand the overall collapse mechanism of the general void zone groups.