Abstract This paper investigates the effect of pore-space heterogeneity on fluid transport properties. To numerically describe the heterogeneity of pore structures, a disorder parameter is used, which is characterized by the variability in local porosity in the unit cells. The flow processes are investigated using lattice Boltzmann simulations in porous media with nearly isotropic porous structures consisting of particles of the same size and with different grain size distributions. It was found that increasing disorder positively affects tortuosity, which in turn causes a decrease in permeability. With increasing porosity, the sensitivity of the transport properties to changes in the disorder reduces. Based on approximations of numerical results, analytical equations were derived that predict permeability and tortuosity depending on porosity, disorder, and grain size distribution. Verification shows that the deviations between numerical and analytical results do not exceed 10%.

中文翻译：

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使用无序参数预测非均质多孔介质中的渗透率和曲折度

摘要 本文研究了孔隙空间异质性对流体输送特性的影响。为了在数值上描述孔隙结构的异质性，使用了无序参数，其特征在于单位单元中局部孔隙率的可变性。在多孔介质中使用晶格玻尔兹曼模拟研究流动过程，该多孔介质具有几乎各向同性的多孔结构，由相同尺寸和不同粒度分布的颗粒组成。发现增加的无序度对弯曲度产生积极影响，从而导致渗透性降低。随着孔隙率的增加，传输特性对无序变化的敏感性降低。根据数值结果的近似值，推导出了根据孔隙度预测渗透率和曲折度的解析方程，无序和粒度分布。验证表明数值和解析结果之间的偏差不超过10%。