A Statistical Correlation Between Permeability, Porosity, Tortuosity and Conductance
A Statistical Correlation Between Permeability, Porosity, Tortuosity and Conductance
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DOI：
10.1007/s11242-017-0983-0
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发表时间：
2018-02
影响因子：
2.7
通讯作者：
S. M. R. Niya;A. Selvadurai
中科院分区：
文献类型：
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作者：
S. M. R. Niya;A. Selvadurai
对13,000个随机多孔结构的数值模拟进行了统计评估，以建立渗透率、孔隙度、曲折度和电导率之间的关联。随机结构的产生具有可变的孔隙率，渗透率和弯曲度等参数直接由结构确定。结果表明，普遍使用的弯曲度定义，即实际流道长度与总流道长度之比，在一般情况下与渗透率无关。此外，作为流动路径可达横截面的指示器的介质电导率与渗透率之间的相关性并不比渗透率-孔隙度相关性更可靠。然而，如果使用截面变化修正曲度的定义，所得到的参数(即修正后的最小曲度)与渗透率具有可靠的相关性，并且可以用于估计渗透率，并且对于大多数随机孔隙结构的模拟而言，其误差是可接受的。文中还讨论了将结论从二维推广到三维的可行性以及随机结构的数值渗流阈值。
A statistical evaluation of 13,000 numerical simulations of random porous structures is used to establish a correlation between permeability, porosity, tortuosity and conductance. The random structures are generated with variable porosities, and parameters such as the permeability and the tortuosity are determined directly from the structures. It is shown that the prevalent definition of tortuosity, as the ratio of length of the real flow path to the projected path in the overall flow direction, does not correlate with permeability in the general case. Also, the correlation between the conductance of the medium, as an indicator of the accessible cross section of a flow path and permeability is no more reliable than the permeability–porosity correlation. However, if the definition of tortuosity is corrected using the cross-sectional variations, the resulting parameter (i.e., the minimum-corrected tortuosity) has a reliable correlation with permeability and can be used to estimate permeability with an acceptable error for most of the simulations of the random porous structures. The feasibility of extending the conclusions from 2-dimensional to 3-dimensional configurations and the numerical percolation thresholds for random structures are also discussed.