Self-similar Approximants of the Permeability in Heterogeneous Porous Media from Moment Equation Expansions
| dc.creator | Gluzman, S. | |
| dc.creator | Sornette, D. | |
| dc.date | 2002-11-25 | |
| dc.date.accessioned | 2026-07-07T08:46:58Z | |
| dc.date.available | 2026-07-07T08:46:58Z | |
| dc.description | We use a mathematical technique, the self-similar functional renormalization, to construct formulas for the average conductivity that apply for large heterogeneity, based on perturbative expansions in powers of a small parameter, usually the log-variance $σ_Y^2$ of the local conductivity. Using perturbation expansions up to third order and fourth order in $σ_Y^2$ obtained from the moment equation approach, we construct the general functional dependence of the transport variables in the regime where $σ_Y^2$ is of order 1 and larger than 1. Comparison with available numerical simulations give encouraging results and show that the proposed method provides significant improvements over available expansions. | |
| dc.description | Latex, 14 pages + 5 ps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0211565 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0211565 | |
| dc.identifier | Transport in Porous Media, 10.1007/s11242-007-9112-9 (2007) | |
| dc.identifier | doi:10.1007/s11242-007-9112-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143437 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Self-similar Approximants of the Permeability in Heterogeneous Porous Media from Moment Equation Expansions | |
| dc.type | text |