2000/06/19 by German Drazer, Germán Drazer, Joel Koplik · 1 citation
Engineering · Physics and Astronomy · #Granular flow and fluidized beds #Lattice Boltzmann Simulation Studies #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.CG #physics.flu-dyn #physics.geo-ph
paper · pdf · doi:10.1103/physreve.62.8076
published as Phys. Rev. E, 62, 8076 (2000) · 11 pages, 9 figures
arxiv created 2000/06/19 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.