Permeability of self-affine rough fractures
Statistical Mechanics
2007-05-23 v1 Cellular Automata and Lattice Gases
Fluid Dynamics
Geophysics
Abstract
The permeability of two-dimensional fractures with self-affine fractal roughness is studied via analytic arguments and numerical simulations. The limit where the roughness amplitude is small compared with average fracture aperture is analyzed by a perturbation method, while in the opposite case of narrow aperture, we use heuristic arguments based on lubrication theory. Numerical simulations, using the lattice Boltzmann method, are used to examine the complete range of aperture sizes, and confirm the analytic arguments.
Keywords
Cite
@article{arxiv.cond-mat/0006287,
title = {Permeability of self-affine rough fractures},
author = {German Drazer and Joel Koplik},
journal= {arXiv preprint arXiv:cond-mat/0006287},
year = {2007}
}
Comments
11 pages, 9 figures