@Article{CiCP-19-998,
author = {Lei Zhang, Qinjun Kang, Li Chen and Jun Yao},
title = {Simulation of Flow in Multi-Scale Porous Media Using the Lattice Boltzmann Method on Quadtree Grids},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {4},
pages = {998--1014},
abstract = {<p style="text-align: justify;">The unified lattice Boltzmann model is extended to the quadtree grids for
simulation of fluid flow through porous media. The unified lattice Boltzmann model
is capable of simulating flow in porous media at various scales or in systems where
multiple length scales coexist. The quadtree grid is able to provide a high-resolution
approximation to complex geometries, with great flexibility to control local grid density.
The combination of the unified lattice Boltzmann model and the quadtree grids results
in an efficient numerical model for calculating permeability of multi-scale porous
media. The model is used for permeability calculation for three systems, including
a fractured system used in a previous study, a Voronoi tessellation system, and a
computationally-generated pore structure of fractured shale. The results are compared
with those obtained using the conventional lattice Boltzmann model or the unified lattice
Boltzmann model on rectangular or uniform square grid. It is shown that the proposed
model is an accurate and efficient tool for flow simulation in multi-scale porous
media. In addition, for the fractured shale, the contribution of flow in matrix and fractures
to the overall permeability of the fractured shale is studied systematically.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.110315.190815a},
url = {http://global-sci.org/intro/article_detail/cicp/11117.html}
}