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文章提出一种二维裂隙网络模式,依据标度不变性原理,运用重正化群技术求取了裂隙网络模型连通概率的临界值为0.2928933,对应的单条裂隙导通的临界概率P0c为0.3581209。当单条裂隙的导通概率Pb小于P0c时,网络连通仅是局部的;而当单条裂隙的连通概率Pb大于P0c时,则整个裂隙网络是连通的。同时求取了关联长度指数值和分维。
In this paper, a two-dimensional fracture network model is proposed. Based on the principle of scale invariance, the critical value of connectivity probability of fractured network model is 0.2928933 using renormalization group technique. The critical probability of corresponding single fracture conduction is P0c 0.3581209. When the conduction probability of a single crack Pb is less than P0c, the network connectivity is only partial; and when a single fracture connectivity probability Pb is greater than P0c, the entire fracture network is connected. At the same time, the correlation length index value and fractal dimension are obtained.