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.

Large Scale Simulations of Single and Multi-Component Flow in Porous Media



Nicos Martys, John G. Hagedorn, D S. Goujon, J E. Devaney


We examine the utility of the lattice Boltzmann method for modeling fluid flow in large microstructures. First, results of permeability calculations are compared to predicted values for several idealized geometries. Large scale simulations of fluid flow through digitized images of Fontainebleau sandstone, generated by X-ray microtomography, were then carried out. Reasonably good agreement was found when compared to experimentally determined values of permeability for similar rocks. We also calculate relative permeability curves as a function of fluid saturation and driving force. The Onsager relation, which equates off-diagonal components of the permeability tensor for two phase flow, is shown not to hold for intermediate to low nonwetting saturation, since the response of the fluid flow to an applied body force was nonlinear. Values of permeability from three phase flows are compared to corresponding two phase values. Performance on several platforms is given.
SPIE International Society for Optical Engineering


Lattice Boltzmann, microtomography, parallel computing, permeability, porous media


Martys, N. , Hagedorn, J. , Goujon, D. and Devaney, J. (1999), Large Scale Simulations of Single and Multi-Component Flow in Porous Media, SPIE International Society for Optical Engineering, [online], (Accessed April 15, 2024)
Created July 1, 1999, Updated February 19, 2017