煤系岩体三维裂隙网络随机生成研究与应用

Study and Application of Random Generation of Three-Dimensional Fracture Network in Coal Measure Rock Mass

[目的]更加清晰且直观地展现煤系岩体结构面的空间分布特征。[方法]基于地质学统计方法对实际裂隙资料进行分析,得到裂隙位置与密度、直径及产状等概率分布函数,借助MATLAB编辑程序,并利用Monte-Carlo随机模拟算法生成满足一定分布函数的随机变量。在此基础上,以Baecher圆盘替代实际裂隙,得到较为精准的三维裂隙网络模型。[结果]该模型不仅高度还原了实际裂隙的形态特征,还精确地再现了裂隙之间的空间关系,包括裂隙的相互交叉、平行分布和聚集区域等。[结论]将三维裂隙网络随机生成技术运用于煤系岩体裂隙探查中,不仅是研究裂隙几何特征的一种重要手段,而且可为后续岩体渗透性及开采安全性评估提供技术支持。

[Purposes]This paper aims to reflect the spatial distribution characteristics of coal measures rock mass structural plane more clearly and intuitively.[Methods]The probability distribution functions of fracture location,density,diameter and occurrence were obtained based on geological statistical analy-sis of actual fracture data,and random variables satisfying certain distribution functions were generated by MATLAB editing program and Monte-Carlo stochastic simulation algorithm,thus forming a three-dimensional fracture network model.On this basis,the accuracy of the model was tested by comparing the parameters of the simulated crack model with those of the measured crack model.[Findings]The model not only highly restores the morphological characteristics of the actual cracks,but also accurately reproduces the spatial relationship between the cracks,including the cross,parallel distribution and ag-gregation area of the cracks.[Conclusions]The application of 3D fracture network random generation technology in coal measure rock fracture exploration is not only an important means to study the geomet-ric characteristics of fractures,but also provides technical support for the subsequent evaluation of rock permeability and mining safety.