Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method

Computers & Fluids - Tập 93 - Trang 164-172 - 2014
Haibo Huang1, Jun‐Jie Huang2, Xi‐Yun Lu1
1Dept. of Modern Mechanics, Univ. of Sci. and Tech. of China, Hefei 230026, China
2Dept. of Engineering Mechanics, Chongqing University, Chongqing 400044, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Scardovelli, 1999, Direct numerical simulation of free-surface and interfacial flow, Annu Rev Fluid Mech, 31, 567, 10.1146/annurev.fluid.31.1.567

Liu, 2012, Three-dimensional lattice Boltzmann model for immiscible two-phase flow simulations, Phys Rev E, 85, 046309, 10.1103/PhysRevE.85.046309

Angelopoulos, 1998, Lattice Boltzmann simulation of nonideal vapor-liquid flow in porous media, Phys Rev E, 573, 3237, 10.1103/PhysRevE.57.3237

Sukop, 2006

Langaas, 2001, Numerical investigations of the steady state relative permeability of a simplified porous medium, Trans Porous Media, 45, 241, 10.1023/A:1012002002804

Pan, 2004, Lattice-Boltzmann simulation of two-phase flow in porous media, Water Resour Res, 40, W01501, 10.1029/2003WR002120

Chau, 2006, Linking drainage front morphology with gaseous diffusion in unsaturated porous media: a lattice Boltzmann study, Phys Rev E, 74, 056304, 10.1103/PhysRevE.74.056304

Huang, 2009, Relative permeabilities and coupling effects in steady-state gas–liquid flow in porous media: a lattice Boltzmann study, Phys. Fluids, 21, 092104, 10.1063/1.3225144

Shan, 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys Rev E, 47, , 1815, 10.1103/PhysRevE.47.1815

Swift, 1996, Lattice Boltzmann simulations of liquid–gas and binary fluid systems, Phys Rev E, 54, 5041, 10.1103/PhysRevE.54.5041

Rothman, 1998, Immiscible cellular-automaton fluids, J Stat Phys, 52, 1119

Huang, 2011, Evaluation of three lattice Boltzmann models for multiphase flows in porous media, Comput Math Appl, 61, 3606, 10.1016/j.camwa.2010.06.034

Huang, 2011, Forcing term in single-phase and Shan–Chen-type multiphase lattice Boltzmann models, Phys Rev E, 84, 046710, 10.1103/PhysRevE.84.046710

Gunstensen, 1991, Lattice Boltzmann model of immiscible fluids, Phys Rev A, 43, 4320, 10.1103/PhysRevA.43.4320

Latva-Kokko, 2005, Static contact angle in lattice Boltzmann models of immiscible fluids, Phys Rev E, 72, 046701, 10.1103/PhysRevE.72.046701

Leclaire, 2012, Numerical evaluation of two recoloring operators for an immiscible two-phase flow lattice Boltzmann model, Appl Math Model, 36, 2237, 10.1016/j.apm.2011.08.027

Latva-Kokko, 2007, Scaling of dynamic contact angles in a lattice-Boltzmann model, Phys Rev Lett, 98, 254503, 10.1103/PhysRevLett.98.254503

Reis, 2007, Lattice Boltzmann model for simulating immiscible two-phase flows, J Phys A: Math Theor, 40, 4033, 10.1088/1751-8113/40/14/018

Liu, 2013, Pore-scale simulations of gas displacing liquid in a homogeneous pore network using the lattice Boltzmann method, Trans Porous Media, 99, 555, 10.1007/s11242-013-0200-8

Tölke, 2002, Lattice Boltzmann simulations of binary fluid flow through porous media, Philos Trans A Math Phys Eng Sci, 360, 535, 10.1098/rsta.2001.0944

Dong, 2010, Lattice Boltzmann simulation of viscous fingering phenomenon of immiscible fluids displacement in a channel, Comput Fluids, 39, 768, 10.1016/j.compfluid.2009.12.005

Grunau, 1993, A lattice Boltzmann model for multiphase fluid flows, Phys Fluids A: Fluid Dyn, 5, 2557, 10.1063/1.858769

Rannou G. Lattice-Boltzmann method and immiscible two-phase flow. Master’s thesis. Georgia Institute of Technology; 2008.

Huang, 2013, On simulations of high-density ratio flows using color-gradient multiphase lattice Boltzmann models, Int J Mod Phys C, 24, 1350021, 10.1142/S0129183113500216

Leclaire, 2011, Isotropic color gradient for simulating very high-density ratios with a two-phase flow lattice Boltzmann model, Comput Fluids, 48, 98, 10.1016/j.compfluid.2011.04.001

Lallemand, 2000, Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability, Phys Rev E, 61, 6546, 10.1103/PhysRevE.61.6546

Lenormand, 1988, numerical models and experiments on immiscible displacements in porous media, J Fluid Mech, 189, 165, 10.1017/S0022112088000953

Huang, 2007, Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models, Phys Rev E, 76, 066701, 10.1103/PhysRevE.76.066701

Zou, 1997, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys Fluids, 9, 1591, 10.1063/1.869307

Hou, 1997, Evaluation of two lattice Boltzmann models for multiphase flows, J Comput Phys, 138, 695, 10.1006/jcph.1997.5839

Pooley, 2009, Modelling capillary filling dynamics using lattice Boltzmann simulations, Eur Phys J Spec Top, 171, 63, 10.1140/epjst/e2009-01012-0