This paper proposes semi-analytical methods to obtain the local permeability for granular soils based on indirect measurements of the local porosity profile in a large coaxial cell permeameter using spatial time-domain reflectometry. The porosity profile is used to obtain the local permeability using the modified Kozeny–Carman and Katz–Thompson equations, which incorporated an effective particle diameter that accounted for particle migration within the permeameter. The profiles of the local permeability obtained from the proposed methods are compared with experimentally obtained permeability distributions using pressure measurements and flow rate. The permeabilities obtained with the proposed methods are comparable with the experimentally obtained permeabilities and are within one order of magnitude deviation, which is an acceptable range for practical applications.

中文翻译：

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间隙级配粒状土的局部渗透率计算

本文提出了基于使用空间时域反射仪间接测量大型同轴单元渗透仪中的局部孔隙度剖面的半解析方法来获得粒状土壤的局部渗透率。孔隙度剖面用于使用改进的 Kozeny-Carman 和 Katz-Thompson 方程获得局部渗透率，该方程结合了一个有效颗粒直径，该直径解释了渗透仪内的颗粒迁移。从所提出的方法获得的局部渗透率剖面与使用压力测量和流速实验获得的渗透率分布进行了比较。用所提出的方法获得的渗透率与实验获得的渗透率相当，并且在一个数量级的偏差内，