随机多孔介质逾渗模型渗透率的临界标度性质

研究了一类非零键渗透率满足均匀分布的随机多孔介质逾渗模型-数值计算了该模型系统渗透率在临界点处的标度指数-结果表明该指数并不能看作是普适常数，而与均匀分布的参数有关-这意味着即使非零键渗透率值的概率密度函数满足负一阶矩存在条件，系统渗透率在逾渗临界点处的标度指数仍然依赖于分布函数的具体参数，并不是常数-这一数值结果与Sahimi对此问题的结论不同- 关键词： 逾渗 随机多孔介质 标度指数 渗透率

The critical scaling property of random percolation porous media

A percolation model of random porous media， with its nonzero bonds obeying the uniform distribution， is researched in this article- The scaling exponents of the permeability are calculated at the percolation critical point- The simulation suggests that the exponents are not universal，but depending on the parameter of the uniform distribution- This indicates that even if the first negative moment of the probability density function of the nonzero bonds exists， the corresponding scaling exponent at the critical point will not be universal- Our simulation result is different from the conclusion reached by Sahimi-