This paper presents a numerical study to determine the Representative Elemental Volume (REV) size of a porous medium made of packed bed of non-deformable spheres and grains with morphology of Berea sandstone, by means of stochastic packing methods. The Navier–Stokes equations and CFD simulations at the pore level are used to calculate the macroscopic properties of the porous media, such as overall permeability, porosity, and tortuosity. The results obtained show that the values of these parameters present an asymptotic behavior, in the limit values of the REV. This allowed to establish a minimum size of REV, in which it is suggested to carry out the flow analyses to optimize the cost of computational resources without sacrificing the precision of the results.
Révisé le :
Accepté le :
Publié le :
CC-BY 4.0
@article{CRMECA_2020__348_8-9_769_0,
author = {Luis Carlos Mart{\'\i}nez-Mendoza and Florencio S\'anchez-Silva and Erik Fernando Mart{\'\i}nez-Mendoza and Juan Antonio Cruz-Maya},
title = {Numerical study of fluid flow at pore scale in packed bed of spheres and grains to obtain the {REV}},
journal = {Comptes Rendus. M\'ecanique},
pages = {769--779},
publisher = {Acad\'emie des sciences, Paris},
volume = {348},
number = {8-9},
year = {2020},
doi = {10.5802/crmeca.62},
language = {en},
}
TY - JOUR AU - Luis Carlos Martínez-Mendoza AU - Florencio Sánchez-Silva AU - Erik Fernando Martínez-Mendoza AU - Juan Antonio Cruz-Maya TI - Numerical study of fluid flow at pore scale in packed bed of spheres and grains to obtain the REV JO - Comptes Rendus. Mécanique PY - 2020 SP - 769 EP - 779 VL - 348 IS - 8-9 PB - Académie des sciences, Paris DO - 10.5802/crmeca.62 LA - en ID - CRMECA_2020__348_8-9_769_0 ER -
%0 Journal Article %A Luis Carlos Martínez-Mendoza %A Florencio Sánchez-Silva %A Erik Fernando Martínez-Mendoza %A Juan Antonio Cruz-Maya %T Numerical study of fluid flow at pore scale in packed bed of spheres and grains to obtain the REV %J Comptes Rendus. Mécanique %D 2020 %P 769-779 %V 348 %N 8-9 %I Académie des sciences, Paris %R 10.5802/crmeca.62 %G en %F CRMECA_2020__348_8-9_769_0
Luis Carlos Martínez-Mendoza; Florencio Sánchez-Silva; Erik Fernando Martínez-Mendoza; Juan Antonio Cruz-Maya. Numerical study of fluid flow at pore scale in packed bed of spheres and grains to obtain the REV. Comptes Rendus. Mécanique, Volume 348 (2020) no. 8-9, pp. 769-779. doi : 10.5802/crmeca.62. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.62/
[1] Examination of Darcy’s law for flow in porous media with variable porosity, Environ. Sci. Technol., Volume 38 (2004) no. 22, pp. 5895-5901 | DOI
[2] X-ray micro-computed tomography and tortuosity calculations of percolating pore networks, Acta Mater., Volume 71 (2014), pp. 126-135 | DOI
[3] X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems, Adv. Water Resour., Volume 51 (2013), pp. 217-246 | DOI
[4] Direct numerical simulation of fully saturated flow in natural porous media at the pore scale: a comparison of three computational systems, Comput. Geosci., Volume 19 (2015) no. 2, pp. 423-437 | DOI | MR
[5] Lattice Boltzmann simulation of permeability and tortuosity for flow through dense porous media, Math. Probl. Eng., Volume 2014 (2014), pp. 1-7 | MR | Zbl
[6] Realistic packed bed generation using small numbers of spheres, Nucl. Eng. Des., Volume 263 (2013), pp. 172-178 | DOI
[7] The use of Path Tracking Method for determining the tortuosity field in a porous bed, Granul. Matter, Volume 18 (2016) no. 3, pp. 1-9 | DOI
[8] Dynamics of Fluids In Porous Media, Vol. 1, American Elsevier Publishing Company, 1972
[9] Pore scale study of flow in porous media: scale dependency, REV, and statistical REV, Geophys. Res. Lett., Volume 27 (2000) no. 8, pp. 1195-1198 | DOI
[10] Pore-scale simulations of drainage in granular materials: Finite size effects and the representative elementary volume, Adv. Water Resour., Volume 95 (2016), pp. 109-124 | DOI
[11] Evaluation of laboratory dolomite core sample size using representative elementary volume concepts, Water Resour. Res., Volume 36 (2000), pp. 1199-1207 | DOI
[12] Evaluation of representative elementary volume for a vuggy carbonate rock-Part: Porosity, permeability, and dispersivity, J. Pet. Sci. Eng., Volume 112 (2013), pp. 36-47 | DOI
[13] A tensorial approach to computational continuum mechanics using object-oriented techniques, Comput. Phys., Volume 12 (1998) no. 6, pp. 620-631 | DOI
[14] Yade Documentation, 2015 (2nd edition, software documentation of Yade-DEM with some theoretical background) | DOI
[15] Henry Darcy and the making of a law, Water Resour. Res., Volume 38 (2002) no. 7, p. 11-1–11-12 | DOI
[16] Experimental determination of porosity and permeability changes induced by injection of CO2 into carbonate rocks, Chem. Geol., Volume 265 (2009) no. 1–2, pp. 148-159 | DOI
[17] Effective viscosity and permeability of porous media, Colloids Surf. A, Volume 192 (2001), pp. 363-375 | DOI
[18] Flow in porous media I: A theoretical derivation of Darcy’s law, Transp. Porous Media, Volume 1 (1986) no. 1, pp. 3-25 | DOI
[19] Tortuosity in porous media: a critical review, Soil Sci. Soc. Am. J., Volume 77 (2013) no. 5, pp. 1461-1477 | DOI
[20] The analysis of the relations between porosity and tortuosity in granular beds, Tech. Sci., Volume 20 (2017) no. 1, pp. 75-85
[21] Hydraulic tortuosity in arbitrary porous media flow, Phys. Rev. E, Volume 84 (2011) no. 3, pp. 1-8 | DOI
[22] FreeCAD, 2019 (Version 0.18) [Software], available from http://www.freecadweb.org
[23] Analytical derivation of tortuosity and permeability of monosized spheres: A volume averaging approach, Phys. Rev. E, Volume 83 (2011) no. 2, pp. 1-8 | DOI
Cité par Sources :
Commentaires - Politique
Multi-scale study of diffusion in composite grain–pore systems based on particles random walk
Hamza Oukili; Rachid Ababou; Gérald Debenest; ...
C. R. Méca (2021)
Alice Saad; Sylvine Guédon; François Martineau
C. R. Géos (2010)
Cédric Giraudet; Fabrizio Croccolo; Guillaume Galliero; ...
C. R. Méca (2013)