On the unintentional rarefaction effect in LBM modeling of intrinsic permeability
Li, Jun and Ho, Minh Tuan and Wu, Lei and Zhang, Yonghao (2018) On the unintentional rarefaction effect in LBM modeling of intrinsic permeability. Advances in Geo-Energy Research, 2 (4). pp. 404-409. ISSN 2208-598X (https://doi.org/10.26804/ager.2018.04.05)
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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.
ORCID iDs
Li, Jun, Ho, Minh Tuan ORCID: https://orcid.org/0000-0002-9411-6447, Wu, Lei ORCID: https://orcid.org/0000-0002-6435-5041 and Zhang, Yonghao ORCID: https://orcid.org/0000-0002-0683-7050;-
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Item type: Article ID code: 65128 Dates: DateEvent31 December 2018Published22 August 2018Published Online13 August 2018AcceptedSubjects: Technology > Mechanical engineering and machinery Department: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 13 Aug 2018 08:48 Last modified: 04 Oct 2024 00:29 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/65128