Pore-scale modeling of saturated permeabilities in random sphere packings.
Pore-scale modeling of saturated permeabilities in random sphere packings.
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DOI：
10.1103/physreve.64.066702
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发表时间：
2001-11
期刊：
影响因子：
--
通讯作者：
C. Pan;M. Hilpert;C. T. Miller
中科院分区：
文献类型：
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作者：
C. Pan;M. Hilpert;C. T. Miller
我们使用两种孔隙尺度方法，即晶格玻尔兹曼 (LB) 和孔隙网络建模，来模拟孔隙率和球体尺寸分布不同的模拟球体填料中的单相流。对于这两种建模方法，我们根据渗透率确定代表性单元体积的大小。 LB 模型获得的渗透率与 Rumpf 和 Gupte 在小雷诺数的球体填充中的实验非常吻合。对于中间雷诺数，LB 模拟与经验 Ergun 方程非常吻合，但对于小雷诺数则不然。我们建议对额尔古纳方程进行修改，以描述低雷诺数流和中雷诺数流。孔隙网络模拟与有效介质近似的预测非常吻合，但由于多孔介质的简化表示而低估了渗透率。基于对数正态球体尺寸分布的填料的 LB 模拟，我们提出了相对于孔隙率以及球体直径的平均值和标准偏差的渗透率关系。
We use two pore-scale approaches, lattice-Boltzmann (LB) and pore-network modeling, to simulate single-phase flow in simulated sphere packings that vary in porosity and sphere-size distribution. For both modeling approaches, we determine the size of the representative elementary volume with respect to the permeability. Permeabilities obtained by LB modeling agree well with Rumpf and Gupte's experiments in sphere packings for small Reynolds numbers. The LB simulations agree well with the empirical Ergun equation for intermediate but not for small Reynolds numbers. We suggest a modified form of Ergun's equation to describe both low and intermediate Reynolds number flows. The pore-network simulations agree well with predictions from the effective-medium approximation but underestimate the permeability due to the simplified representation of the porous media. Based on LB simulations in packings with log-normal sphere-size distributions, we suggest a permeability relation with respect to the porosity, as well as the mean and standard deviation of the sphere diameter.