Modeling single-phase permeability in uniform grain packs
Modeling single-phase permeability in uniform grain packs
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DOI：
10.1016/j.advwatres.2020.103529
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发表时间：
2020-01
期刊：
影响因子：
--
通讯作者：
B. Ghanbarian
中科院分区：
文献类型：
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作者：
B. Ghanbarian
单相渗透率（k）的准确估计在许多领域有着广泛的应用，特别是模拟多孔材料中的流动和传输。在文献中已经提出了各种技术来从其他介质的性质（诸如孔隙率、颗粒和/或孔径分布以及孔连通性）估计k。其中，统计物理学的关键路径分析（CPA），首先发展到广泛的电导分布介质中的流体流动模型，已成功地应用于非均质土壤和岩石。然而，它的应用程序，以均匀的球和/或玻璃珠包，代表均匀的多孔介质与窄电导分布需要进行调查。在这项研究中，我们调用CPA的概念，并估计k从平均粒径和形成因素，在均匀的砂和玻璃珠包。通过比较理论与8个数据集，包括105包从文献中，我们证明了CPA估计渗透率在均匀介质中准确。我们还比较了我们基于CPA的模型估计与Kozeny-Carman，Revil和Cathles以及RGPZ模型的估计。结果表明，CPA方法估计k更精确比其他三个模型研究。
Accurate estimation of single-phase permeability (k) has broad application in numerous areas, particularly modeling flow and transport in porous materials. Various techniques have been proposed in the literature to estimate k from other medium's properties, such as porosity, grain and/or pore size distribution, and pore connectivity. Among them critical path analysis (CPA) from statistical physics, first developed to model fluid flow in media with broad conductance distributions, has been successfully applied to heterogeneous soils and rocks. However, its application to uniform sphere and/or glass bead packs that represent homogeneous porous media with narrow conductance distributions needs to be investigated. In this study, we invoke concepts from CPA and estimate k from average grain diameter and formation factor in uniform sand and glass bead packs. By comparing theory with eight datasets including 105 packs from the literature, we demonstrate that CPA estimates permeability in homogeneous media accurately. We also compare our CPA-based model estimations with those from the Kozeny-Carman, Revil and Cathles, and RGPZ models. Results indicate that the CPA approach estimates k more precisely than other three models studied here.