岩体裂隙网络随机生成及连通性研究

A study of stochastic generation and connectivity of fracture network in rock mass

基于裂隙几何参数分布的统计特性,应用Monte Carlo模拟技术生成二维裂隙网络。利用无向图方法实现裂隙网络连通图的绘制,并比较了走向服从均匀分布和正态分布的裂隙连通概率。在此基础上,对Balberg等人提出的渗流临界裂隙数(即主干裂隙数)和临界裂隙长度估算方法进行了验证。结果表明,无向图方法可以方便、快捷地实现裂隙网络连通图的绘制;同等条件下走向服从均匀分布比走向服从正态分布的裂隙连通概率大20%左右;当裂隙连通概率大于90%,Balberg等人提出的渗流的临界裂隙数和临界裂隙长度估计值与实际参数值吻合较好,研究成果为裂隙地下水渗流计算提供了分析方法。

Based on statistic parameters of random distribution of fractures,a fracture network is generated by application of the Monte Carlo simulation technology.In terms of undirected graph theory,the backbone(conducting part) of fractures is obtained.Probability of fracture connectivity about the orientations of the uniform distribution is compared to that of the normal distribution.The Monte Carlo Experiments based on a two-dimensional fracture network model are used to validate the critical number of fractures,as well as the critical fracture length derived from Balberg and others.The result shows that the backbone of fractures is drawn quickly and easily with the undirected graph method.Under the same conditions of the fracture features,the probability of fracture connectivity for orientation following a uniform distribution is 20% larger than that of a normal distribution.When fracture connectivity probability is greater than 90%,the estimated value from Balberg and others is in gaad agreement with the actual parameter value.The results in this work provide a valuable analysis method for groundwater seepage calculation.