Internal erosion is a common form of damage in geomaterial structures that is caused by the migration of soil particles under a seepage flow. The geometrical characteristics of soil particles is regarded as the intrinsic factor for internal instability; thus, in this study, a network modelling technique is formulated for this purpose. The soil particles and pores are generalised into a network model according to their fractal gradations; thereafter, the percolation theory is applied to analyse this conceptual probabilistic model. The percolation and erosion backbones are simulated in the direct square bond percolation model through the extended Hoshen–Kopelman algorithm and direct electrifying algorithm. Monte Carlo experiments are conducted to analyse the internal erosion process in this network model. The extent of internal instability can be calculated quantitatively, and the deposition rate of transported particles in the mass conservation equation can be evaluated for further analysis. Compared with internal erosion tests, the percolation analytical method is in accordance with experimental results. This method provides fresh insights on the nature of internal erosion from a statistical perspective.

中文翻译：

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基于渗流分析方法的砾石土壤内部侵蚀过程数值模拟

内部侵蚀是土工结构中常见的损坏形式，它是由渗流下土壤颗粒的迁移引起的。土壤颗粒的几何特征被认为是内部不稳定性的内在因素。因此，在这项研究中，为此目的制定了一种网络建模技术。根据土壤颗粒和孔隙的分形等级，将其概括为网络模型。此后，将渗流理论应用于分析该概念概率模型。通过扩展的Hoshen-Kopelman算法和直接带电算法，在直接平方键渗滤模型中模拟了渗滤和侵蚀主干。进行了蒙特卡洛实验，以分析该网络模型中的内部侵蚀过程。可以定量计算内部不稳定性的程度，并且可以评估质量守恒方程中所传输粒子的沉积速率，以进行进一步分析。与内部腐蚀试验相比，渗流分析方法符合实验结果。这种方法从统计学的角度提供了有关内部侵蚀性质的新见解。