Pore-scale finite-volume continuum models of electrokinetic processes are used to predict the Debye lengths, velocity, and potential profiles for two-dimensional arrays of circles, ellipses and squares with different orientations. The pore-scale continuum model solves the coupled Navier–Stokes, Poisson, and Nernst–Planck equations to characterize the electro-osmotic pressure and streaming potentials developed on the application of an external voltage and pressure difference, respectively. This model is used to predict the macroscale permeabilities of geomaterials via the widely used Carmen–Kozeny equation and through the electrokinetic coupling coefficients. The permeability results for a two-dimensional X-ray tomography-derived sand microstructure are within the same order of magnitude as the experimentally calculated values. The effect of the particle aspect ratio and orientation on the electrokinetic coupling coefficients and subsequently the electrical and hydraulic tortuosity of the porous media has been determined. These calculations suggest a highly tortuous geomaterial can be efficient for applications like decontamination and desalination.

电动过程的孔尺度有限体积连续体模型用于预测具有不同方向的圆形，椭圆形和正方形的二维阵列的德拜长度，速度和电势轮廓。孔隙尺度连续体模型解决了耦合的Navier-Stokes，Poisson和Nernst-Planck方程，以表征分别在外部电压和压力差的作用下产生的电渗压力和流动电位。该模型用于通过广泛使用的Carmen-Kozeny方程和电动耦合系数来预测土工材料的宏观渗透率。二维X射线断层扫描法得出的砂微观结构的渗透率结果与实验计算值在同一数量级内。已经确定了颗粒长径比和取向对电动耦合系数以及随后对多孔介质的电和水曲折性的影响。这些计算表明，对于诸如去污和脱盐之类的应用，高度曲折的土工材料可能是有效的。