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.
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Luis Carlos Martínez-Mendoza 1; Florencio Sánchez-Silva 1; Erik Fernando Martínez-Mendoza 1; Juan Antonio Cruz-Maya 2
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@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/
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