基于Monte-Carlo的岩体三维裂隙网络模型研究

Study on the Three-dimensional Crack Network Modelof Rock Mass Based on Monte-Carlo

裂隙在岩体中的分布是错综复杂的、随机的,但是大量实践证明裂隙的几何参数往往服从一定的概率分布。为建立更加符合实际情况的裂隙网络,研究通过Monte-Carlo随机模拟方法,先根据实测裂隙统计资料分析得到裂隙几何参数的概率分布函数,并借助计算机程序生成服从一定概率分布的随机变量,进而建立直观形象的三维裂隙网络模型。为了验证模型的可靠性,通过对比线密度实测值与模型值的差异性对该模型进行验证,并且对模型的裂隙交线以及连通率计算进行分析。研究结果表明:该模型具有较高的拟真性,可以得到符合现场实际情况的裂隙网络,并且可以作为研究裂隙几何特征的一种重要手段。

The distribution of cracks in rock mass is complex and random,but a large number of practices have proved that the geometric parameters of cracks often obey certain probability distribution.In order to establish a more realistic crack network,this paper will use the Monte-Carlo stochastic simulation method to firstly analyze the probability distribution function of the crack geometric parameters in accordance with the measured crack statistics,and generate random variables subject to a certain probability distribution by the use of computer programs,so as to establish a visual image of the three-dimensional crack network model.To verify the reliability of the model,the difference between the measured value and model value of linear density was compared,and the crack intersection and connectivity calculation of this model were analyzed.The results show that the crack network conform to the actual situation on site can be obtained through this model with high fidelity,which can be used as an important means to study the geometric characteristics of the crack.