Tracer Dispersion in Porous Media with Spatial Correlations
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
We analyze the transport properties of a neutral tracer in a carrier fluid flowing through percolation-like porous media with spatial correlations. We model convection in the mass transport process using the velocity field obtained by the numerical solution of the Navier-Stokes and continuity equations in the pore space. We show that the resulting statistical properties of the tracer can be approximated by a Levy walk model, which is a consequence of the broad distribution of velocities plus the existence of spatial correlations in the porous medium.
Cite
@article{arxiv.cond-mat/9809427,
title = {Tracer Dispersion in Porous Media with Spatial Correlations},
author = {Hernan A. Makse and Jose S. Andrade and H. Eugene Stanley},
journal= {arXiv preprint arXiv:cond-mat/9809427},
year = {2007}
}
Comments
4 pages, 6 figures, http://polymer.bu.edu/~hmakse/Home.html