On the unintentional rarefaction effect in LBM modeling of intrinsic permeability

Advances in Geo-Energy Research

article

Jun Li¹  Minh Tuan Ho²  Lei Wu²  Yonghao Zhang² 

[1] Center for Integrative Petroleum Research, College of Petroleum Engineering and Geosciences, King Fahd University of Petroleum & Minerals;James Weir Fluids Laboratory, Department of Mechanical Engineering & Aerospace Engineering, University of Strathclyde

关键词: Lattice Boltzmann method;    pore-scale simulations;    Knudsen number;   

DOI  :  10.26804/ager.2018.04.05

来源: Yandy Scientific Press

【 摘 要 】

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.

【 授权许可】

Unknown