Issue |
Europhys. Lett.
Volume 55, Number 2, July 2001
|
|
---|---|---|
Page(s) | 194 - 200 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2001-00399-6 | |
Published online | 01 December 2003 |
Interface roughening in Hele-Shaw flows with quenched disorder: Experimental and theoretical results
1
Departament ECM, Facultat de Física, Universitat de
Barcelona
Diagonal 647, E-08028 Barcelona, Spain
2
Groupe de Physique des Solides,
Université Pierre-et-Marie-Curie
Tour 23, 2 place Jussieu, 75251 Paris Cedex 05, France
3
Departament de Física Aplicada,
Universitat Politècnica de Catalunya
Avda. Dr. Marañon 44, E-08034 Barcelona, Spain
4
Instituto de Física de Cantabria, CSIC
Avenida Los Castros, E-39005 Santander, Spain
Corresponding author: aurora@ecm.ub.es
Received:
22
November
2000
Accepted:
14
May
2001
We study the forced fluid invasion of an air-filled model porous medium
at constant flow rate, in 1+1 dimensions, both experimentally and
theoretically. We focus on the nonlocal character of the interface
dynamics, due to liquid conservation, and its effect on the scaling
properties of the interface upon roughening. Specifically, we study the
limit of large flow rates and weak capillary forces. Our theory
predicts a roughening behaviour characterized at short times by a
growth exponent , a
roughness exponent
, and a dynamic exponent
, and
by
,
, and
at long times, before
saturation. This theoretical prediction is in good agreement with the
experiments at long times.The ensemble of experiments, theory, and
simulations provides evidence for a new universality class of
interface roughening in 1+1 dimensions.
PACS: 47.55.Mh – Flows through porous media / 68.35.Ct – Interface structure and roughness / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2001
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