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Determination of kozeny constant based on porosity and pore to throat size ratio in porous medium with rectangular rods

机译：基于孔隙率和孔喉尺寸比的矩形棒状多孔介质中Kozeny常数的确定

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摘要

Kozeny-Carman permeability equation is an important relation for the determination of permeability in porous media. In this study, the permeabilities of porous media that contains rectangular rods are determined, numerically. The applicability of Kozeny-Carman equation for the periodic porous media is investigated and the effects of porosity and pore to throat size ratio on Kozeny constant are studied. The continuity and Navier- Stokes equations are solved to determine the velocity and pressure fields in the voids between the rods. Based on the obtained flow field, the permeability values for different porosities from 0.2 to 0.9 and pore to throat size ratio values from 1.63 to 7.46 are computed. Then Kozeny constants for different porous media with various porosity and pore to throat size ratios are obtained and a relationship between Kozeny constant, porosity and pore to throat size ratio is constructed. The study reveals that the pore to throat size ratio is an important geometrical parameter that should be taken into account for deriving a correlation for permeability. The suggestion of a fixed value for Kozeny constant makes the application of Kozeny-Carman permeability equation too narrow for a very specific porous medium. However, it is possible to apply the Kozeny-Carman permeability equation for wide ranges of porous media with different geometrical parameters (various porosity, hydraulic diameter, particle size and aspect ratio) if Kozeny constant is a function of two parameters as porosity and pore to throat size ratios.
机译：Kozeny-Carman渗透率方程是确定多孔介质渗透率的重要关系。在这项研究中，数值确定了包含矩形棒的多孔介质的渗透率。研究了Kozeny-Carman方程在周期性多孔介质中的适用性，研究了孔隙度和孔喉尺寸比对Kozeny常数的影响。求解连续性和Navier-Stokes方程，以确定杆之间空隙中的速度和压力场。基于获得的流场，计算出从0.2到0.9的不同孔隙率的渗透率值和从1.63到7.46的孔喉尺寸比值。然后得到具有不同孔隙率和孔喉尺寸比的不同多孔介质的Kozeny常数，并建立了Kozeny常数，孔隙率与孔喉尺寸比之间的关系。研究表明，孔喉尺寸比是重要的几何参数，在得出渗透率相关性时应予以考虑。对于Kozeny常数设定为固定值的建议，使得对于非常特殊的多孔介质，Kozeny-Carman渗透率方程的应用范围太窄。但是，如果Kozeny常数是孔隙度和孔隙度这两个参数的函数，则可以将Kozeny-Carman渗透率方程应用于具有不同几何参数（孔隙度，水力直径，粒径和纵横比不同）的各种多孔介质。喉咙尺寸比。

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