Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Lattice Boltzmann Simulations of Single and Multi-Component Flow in Porous Media



Nicos Martys, John G. Hagedorn, J E. Devaney


We examine the utility of the lattice Boltzmann method for modeling fluid flow in porous media. First the lattice Boltzmann method is validated for the case of single component flow in several idealized flow geometries. Large scale simulations of fluid flow through digitized images of Fontainebleau sandstone, generated by X-ray microtomography, will then be presented. Reasonably good agreement was found when compared to experimentally determined values of permeability for similar rocks. We then discuss the modeling of multicomponent fluid systems. The critical properties of the binary mixture used in the fluid simulation is shown to be consistent with mean-field theory. Relative permeability curves as a function of fluid saturation and driving force are then to be presented. Values of permeability from three phase flows are compared to corresponding two phase values. In order to model flow in porous media that are well described by Darcy's law or have a large pore size variation, an extension of the lattice Boltzmann method for approximating the Brinkman equation will be described. Performance on several computing platforms is given.
Proceedings Title
Proceedings of SPIE
ume 3772
Conference Dates
July 23-22, 1999
Conference Title
Mesoscale Modeling: Techniques and Applications


Brinkman equation, critical phenomena, lattice Boltzmann, microtomography, parallel computing, permeability, porous media


Martys, N. , Hagedorn, J. and Devaney, J. (1999), Lattice Boltzmann Simulations of Single and Multi-Component Flow in Porous Media, Proceedings of SPIE (Accessed April 18, 2024)
Created July 1, 1999, Updated June 2, 2021