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以经典的芬纳公式为手段,以观察到分区破裂现象的模型试验为背景,通过对简化后的圆形巷道围岩应变场和能量场的分析,发现极限平衡区边界存在径向应变的不连续性和弹性变形能的聚集性。认为与开挖洞室呈同心圆的环状断裂的形成,是极限平衡区在边界上由于应变场的不协调而导致的与弹性区的断裂分离。而分区破裂的产生,则是这种断裂分离形成后极限平衡区向深处发展的结果。解释了分区破裂产生时洞周围岩应变和位移随距离洞室增加呈波浪形变化的非单调性规律,给出了分区破裂形成后各破裂区半径的表达式,关系式表明各破裂区之间存在等比关系,比值与地应力状态及围岩力学参数有关。将分区破裂模型试验的参数代入该式,可得,n=1.1左右,与实验完成后剖开模型的各破裂区分布特征基本相符。
Taking the classical Fenner formula as a measure and the model test of zonal disintegration observed as the background, by analyzing the strain field and energy field of the surrounding rock of the simplified round roadway, it is found that there is no radial strain in the boundary of the limit equilibrium zone Continuity and elastic deformation energy aggregation. It is considered that the formation of annular fracture concentric with the excavation caverns is the separation of the ultimate equilibrium zone from the fracture of the elastic zone due to the uncoordinated strain field at the boundary. The division of the rupture is the result of the development of the ultimate balance zone after the formation of the fault. The nonmonotonic regularity of the rock strain and displacement around the hole with the increase of the distance from the cavern is explained. The expression of the radius of each rupture zone after the formation of the zone rupture is given. The relation shows that between the rupture zones There is an equal relationship between the ratio and the state of stress and rock mechanical parameters. By substituting the parameters of the model of zonal rupture test into this formula, we can get that n = 1.1, which is basically consistent with the distribution characteristics of each rupture zone of the split model after the experiment is completed.