Mesoscopic approach to fluid-solid interaction: Apparent liquid slippage and its effect on permeability estimation
Mesoscopic approach to fluid-solid interaction: Apparent liquid slippage and its effect on permeability estimation
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DOI：
10.1103/physreve.98.052803
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发表时间：
2018-11
影响因子：
2.4
通讯作者：
Zi Li;S. Galindo‐Torres;A. Scheuermann;Ling Li
中科院分区：
文献类型：
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作者：
Zi Li;S. Galindo‐Torres;A. Scheuermann;Ling Li
流体-固体（F-S）界面上由于分子间相互作用而产生的液体滑移行为对页岩油和粘土水的运移具有重要意义。提出了一种基于连续指数衰减的F-S相互作用力和中网格反弹边界条件的介观单相格子Boltzmann方法（LBM），用于描述液体的表观滑移。F-S相互作用力建立在颗粒水平，因此可以很容易地扩展到多孔介质。当它是排斥（吸引），正（负）滑移长度和流体滑移（阻尼）的现象被成功地恢复。在一个基准的微通道流动实验中，疏水和亲水表面上的速度分布验证了该模型。发现滑动长度与剪切速率无关（其组成部分包括体积力、孔径和运动粘度），但取决于孔隙几何形状（多孔介质中比毛细管中小）。在毛细管和多孔介质中，滑移长度和渗透率比均与相互作用参数（强度和衰减长度）呈幂律关系。考虑滑移长度的渗透率比的分析估计同意从LBM模拟计算，除了在多孔介质中的流体滑移有显着高估。估计的渗透率比表明，它增加（减少）非线性的孔径减小，这表明F-S相互作用的重要性，特别是薄毛细管和微孔介质。
The liquid slippage behavior due to molecular interactions at fluid-solid (F-S) interfaces is of great importance to the transport of shale oil and clay water. A mesoscopic single-phase lattice Boltzmann method (LBM), based on a continuous and exponentially decaying F-S interaction force and a midgrid bounce-back boundary condition, is proposed to be responsible for the apparent liquid slippage. The F-S interaction force is established at the particle level and thus can be readily extended to porous media. When it is repulsive (attractive), the phenomena of positive (negative) slip lengths and fluid slip (damping) are successfully recovered. This model is validated by the velocity profiles on hydrophobic and hydrophilic surfaces in a benchmark microchannel flow experiment. The slip length is found to be independent of shear rate (its constituents including body force, pore diameter, and kinematic viscosity), but dependent on pore geometry (smaller in porous media than in capillary tubes). Both slip length and permeability ratio follow a power law relationship with interaction parameters (strength and decay length) in capillary tubes and porous media. The permeability ratio estimated analytically with the slip length considered agrees well with that calculated from the LBM simulations, except for the fluid slip in porous media with a significant overestimation. The estimated permeability ratio indicates that it increases (decreases) nonlinearly as the pore diameter decreases, suggesting the great importance of the F-S interaction particularly for thin capillary tubes and microporous media.