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

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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.

    Author(s):Li, Jun, Ho, Minh Tuan ORCID logoORCID: https://orcid.org/0000-0002-9411-6447, Wu, Lei ORCID logoORCID: https://orcid.org/0000-0002-6435-5041 and Zhang, Yonghao ORCID logoORCID: https://orcid.org/0000-0002-0683-7050
    Item type:Article
    ID code:65128
    Keywords:lattice Boltzmann method, pore-scale simulations, Knudsen number, Mechanical engineering and machinery, Mechanical Engineering, Energy(all)
    Subjects: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:29 Jan 2020 04:29
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/65128
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