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Original Article | Open Access

On the unintentional rarefaction effect in LBM modeling of intrinsic permeability

Jun Li1( ), Minh Tuan Ho2, Lei Wu2, Yonghao Zhang2
Center for Integrative Petroleum Research, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum & Minerals, Saudi Arabia
James Weir Fluids Laboratory, Department of Mechanical Engineering & Aerospace Engineering, University of Strathclyde, Glasgow, UK
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Abstract

Lattice Boltzmann method (LBM) has been applied to predict flow properties of porous media including intrinsic permeability, where it is implicitly assumed that the LBM is equivalent to the incompressible (or near incompressible) Navier-Stokes equation. However, in LBM simulations, high-order moments, which are completely neglected in the Navier-Stokes equation, are still available through particle distribution functions. To ensure that the LBM simulation is correctly working at the Navier-Stokes hydrodynamic level, the high-order moments have to be negligible. This requires that the Knudsen number (Kn) is small so that rarefaction effect can be ignored. In our study, we elaborate this issue in LBM modeling of porous media flows, which is particularly important for gas flows in ultra-tight media. The influence of Reynolds number (Re) on the intrinsic permeability is also discussed.

Keywords

Lattice Boltzmann methodpore-scale simulationsKnudsen number

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Advances in Geo-Energy Research
Volume 2 Issue 4,
December 2018
Pages 404-409
DOI: 10.26804/ager.2018.04.05
Cite this article:
Li J, Ho MT, Wu L, et al. On the unintentional rarefaction effect in LBM modeling of intrinsic permeability. Advances in Geo-Energy Research, 2018, 2(4): 404-409. https://doi.org/10.26804/ager.2018.04.05

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Received: 24 July 2018
Revised: 12 August 2018
Accepted: 13 August 2018
Published: 22 August 2018
© The Author(s) 2018

This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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