The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review
Junjian Wang, Li Chen, Qinjun Kang, Sheik S Rahman

TL;DR
This review discusses the advancements of the lattice Boltzmann method (LBM) for simulating micro-gaseous flows in shale gas reservoirs, highlighting its capabilities, challenges, and potential applications in pore-scale modeling.
Contribution
It provides an extensive overview of relaxation time and boundary conditions in LBM for micro-gaseous flow and evaluates its application in shale gas reservoir simulations.
Findings
LBM can effectively simulate gas flow from continuum to slip regimes.
The method is suitable for modeling micro-gaseous flow in shale reservoirs.
Opportunities for future research in LBM applications are identified.
Abstract
The lattice Boltzmann method (LBM) has experienced tremendous advances and been well accepted as a popular method of simulation of various fluid flow mechanisms on pore scale in tight formations. With the introduction of an effective relaxation time and slip boundary conditions, the LBM has been successfully extended to solve micro-gaseous related transport and phenomena. As gas flow in shale matrix is mostly in the slip flow and transition flow regimes, given the difficulties of experimental techniques to determine extremely low permeability, it appears that the computational methods especially the LBM can be an attractive choice for simulation of these micro-gaseous flows. In this paper an extensive overview on a number of relaxation time and boundary conditions used in LBM-like models for micro-gaseous flow are carried out and their advantages and disadvantages are discussed.…
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