岩体渗流模拟的二维随机裂隙网络模型

2-D stochastic fracture network model for simulation of seepage through fissured rocks

基于裂隙的走向、迹长、间距和张开度的统计特征,应用Monte Carlo方法随机生成裂隙网络系统.依据裂隙网络交叉点处的流量守恒原理,推导了裂隙岩体网络渗流数学模型,并提出模型的求解方法,通过一个算例验证了模型的合理性.此外,讨论了裂隙岩体渗流场随裂隙张开度均值和方差的变化规律,确定了模型的适用范围,为裂隙岩体渗流场的模拟提供了一种方法.

Based on the statistic characteristics of orientations, traces, space distances, and apertures of fractures, a stochastic fracture network system is generated by use of the Monte-Carlo method. According to the flux conservation principle for the intersection of fracture networks, a seepage mathematic model for discrete networks is derived, and a calculation method for the model is worked out. The rationality of the model is verified by a case study. Furthermore, the regularity of variation of the seepage field in fissured rocks with the mean value and variance of fracture apertures is discussed, and the scope of application of the model is determined. The present research provides a method for the simulation of seepage field in fissured rocks.