考虑裂隙迹长和开度相关性的随机裂隙网络数值模拟及渗流分析

Numerical simulation and seepage analysis of stochastic fracture network considering correlation between fracture trace length and aperture

  • 摘要: 基于蒙特卡罗法,引入裂隙迹线长度和开度的相关性函数,提出了一个改进的随机裂隙网络生成算法。利用MATLAB平台编制程序,实现二维裂隙网络的生成,通过与布尔模拟生成的真实裂隙场的比较,验证了改进算法的有效性和程序的正确性。然后借助离散裂隙网络渗流模型对生成的裂隙网络进行渗流分析。分别在考虑迹长开度相关性和不考虑二者相关性的条件下,计算了随机裂隙网络的渗流场,给出了下游边界出口裂隙流量分布和裂隙网络内部水压力的分布。计算结果表明,考虑裂隙迹线长度和开度的相关性能很好地反映裂隙网络渗流的结构特征,从而证明了所提方法的合理性。该模型是对随机裂隙网络模型的有效补充,可为岩体工程渗控分析提供理论基础和数值计算工具。

     

    Abstract: Based on the Monte Carlo method, an improved random fracture network generation algorithm is proposed by introducing the correlation function of the length and aperture of fractures. The corresponding program is developed on the platform of MATLAB. The generated two-dimensional fracture network is compared with the real fracture field generated by Boolean simulation. From the comparison, the validity of the improved algorithm and the program is verified. Then seepage analysis of the fractured network was carried out based on the discrete fracture network model considering the correlation between the trace length and apertures. The distribution of fracture flow at the downstream boundary and the distribution of water pressure inside the fracture network are analyzed in this study. Analysis results show that the consideration of correlation between the trace length and apertures can better reflect the structural characteristics of fracture network seepage, which demonstrates the rationality of the proposed method. The development of random fracture network model can provide a sound theoretical basis for seepage control problems often encountered in the hydropower engineering.

     

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