Lattice Boltzmann modeling of pore-scale fluid flow through idealized porous media

被引:51
作者
Han, Yanhui [1 ]
Cundall, Peter A. [1 ]
机构
[1] Univ Minnesota, Dept Civil Engn, Geomech Grp, Minneapolis, MN 55455 USA
关键词
lattice Boltzmann method; Navier-Stokes equation; distinct element method; pore-scale; fluid flow; pore throat; porous media; fluid-solid interaction; friction coefficient; channel flow; duct flow; BOUNDARY-CONDITIONS; PERIODIC ARRAYS; NUMERICAL-MODEL; SLOW FLOW; SIMULATIONS; COMPLEX;
D O I
10.1002/fld.2443
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In order to capture the hydro-mechanical impacts on the solid skeleton imposed by the fluid flowing through porous media at the pore-scale, the flow in the pore space has to be modeled at a resolution finer than the pores, and the no-slip condition needs to be enforced at the grainfluid interface. In this paper, the lattice Boltzmann method (LBM), a mesoscopic NavierStokes solver, is shown to be an appropriate pore-scale fluid flow model. The accuracy and lattice sensitivity of LBM as a fluid dynamics solver is demonstrated in the Poiseuille channel flow problem (2-D) and duct flow problem (3-D). Well-studied problems of fluid creeping through idealized 2-D and 3-D porous media (J. Fluid Mech. 1959; 5(2):317328, J. Fluid Mech. 1982; 115:1326, Int. J. Multiphase Flow 1982; 8(4):343360, Phys. Fluids A 1989; 1(1):3846, Int. J. Numer. Anal. Meth. Geomech. 1999; 23:881904, Int. J. Numer. Anal. Meth. Geomech. 2010; DOI: 10.1002/nag.898, Int. J. Multiphase Flow 1982; 8(3):193206) are then simulated using LBM to measure the friction coefficient for various pore throats. The simulation results agree well with the data reported in the literature. The lattice sensitivity of the frictional coefficient is also investigated. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码:1720 / 1734
页数:15
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