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通过分数布朗函数建立了节理面几何模型,基于N-S方程对裂隙注浆扩散开展有限元分析。考察节理面粗糙度、连通性对浆液扩散的影响,并对修正立方定律的合理性进行分析。当界面层位势较低时,由修正立方定律得到的计算结果偏低,反之计算结果偏高。当界面层接触区域分布较为平均时,其各向异性程度较低,所引起的计算偏差较小,反之计算偏差较大。基于修正的立方定律、界面层本构方程以及浆液流动方程,建立了考虑浆岩耦合效应的注浆扩散公式。考虑浆岩耦合效应后,计算所得到的浆液扩散距离明显提高。并且随着浆液黏度的增加,由浆岩耦合效应所引起的相对计算误差也不断增大。
The geometric model of joint plane was established by fractional Brownian function, and the finite element analysis of grouting diffusion was carried out based on N-S equation. The effects of joint roughness and connectivity on slurry diffusion were investigated, and the rationality of modified cubic law was analyzed. When the potential of the interface layer is low, the calculation result obtained by the modified cubic law is low, on the contrary, the calculation result is high. When the contact area of the interface layer is more evenly distributed, the degree of anisotropy is lower, the calculated deviation is smaller, on the contrary, the calculated deviation is larger. Based on the modified cubic law, the constitutive equation of interface layer and the flow equation of slurry, a grouting diffusion equation considering the coupling effect of slurry and rock was established. Taking into account the coupling effect of slurry and rock, the calculated diffusion distance of slurry increases obviously. And as the viscosity of the slurry increases, the relative calculation error caused by the coupling effect of the slurry and rock also increases.