Crossed fractures typically form within fractured rock masses through tectonic processes and constitute essential components of fracture networks. However, most natural rock fractures are filled with different types of fine-grained materials to form infilled rock fractures. Therefore, quantifying the impact of filling particles on flow behavior within crossed fractures is critical for understanding the fluid flow through complex fracture networks. Up to now, the flow behavior within infilled crossed fractures has not yet been comprehensively investigated. To address this gap, this study proposes a method for constructing numerical models of infilled crossed fractures that can replicate natural particle stacking patterns while allowing precise control over porosity. Using this approach, infilled crossed fracture models with different porosities and a corresponding unfilled model were constructed, and a series of seepage simulations were conducted at varying inlet flow rates. The results indicate that filling particles promote channelized flow within crossed fractures, enhancing eddy formation in interstitial regions. This channelization produces a pronounced multi-peak velocity distribution, creating substantial velocity differences between adjacent flow paths. Additionally, the particles alter the flow redistribution and form breakthrough flow through specific local pore structures. Consequently, the nonlinear flow behavior is more pronounced in infilled crossed fractures than in unfilled counterparts. Subsequently, a nonlinear flow model for infilled crossed fractures is proposed by incorporating semi-empirical formulas for hydraulic aperture bh and nonlinear coefficient β to modify coefficients A and B in the Forchheimer equation. Validation results demonstrate that the model accurately predicts hydraulic gradients, with errors typically below 15%. Furthermore, the model is further extended to predict hydraulic gradients in outlet branches and modified using numerical data. Our study provides valuable insights for predicting and evaluating the fluid flow in complex geological setting.
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