摘要
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。
A two dimensional model of crack network is raised in this paper. According to scale invariant principle, the critical value of conductible probability of the crack network model is 0.292 893 3 by using a renormalization group approach, and correspondingly critical probability P bc of conduction of a crack is 0.358 120 9. If conductive probability P b of a crack is less than P bc , the conduction of network is partial, and if P b is greater than P bc , the whole network is conductive. Meanwhile, the correlation length exponent and the fractal dimension are calculated in this paper. The study in this direction is of significance for exploration and development of crack oil gas reservoirs.
出处
《成都理工学院学报》
CSCD
1997年第3期58-63,共6页
Journal of Chengdu University of Technology
关键词
裂隙
连通性
临界概率
重正化群法
油矿床
crack
conduction
critical probability
a normalization group approach
