Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition
arXiv:cond-mat/0412688 · doi:10.1103/PhysRevLett.95.104501
Abstract
We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic exponent z \simeq 3, indicative of global dynamics driven by capillary forces. The complete set of exponents clearly shows that interfaces are not self-affine, exhibiting distinct local and global scaling, both for time (b=0.64\pm 0.02, b* =0.33 \pm 0.03) and space (a=1.94 \pm 0.20, a_loc=0.94 \pm 0.10). These values are compatible with an intrinsic anomalous scaling scenario.
arXiv comment4 pages, 5 figures
References in corpus (10)
- Imbibition in Disordered Media
- Generic Dynamic Scaling in Kinetic Roughening
- Super-roughening versus intrinsic anomalous scaling of surfaces
- Scaling of Local Slopes, Conservation Laws and Anomalous Roughening in Surface Growth
- Liquid Conservation and Non-local Interface Dynamics in Imbibition
- Interface roughening in Hele--Shaw flows with quenched disorder: experimental and theoretical results
- Anomalous roughening of Hele-Shaw flows with quenched disorder
- Experiments of Interfacial Roughening in Hele-Shaw Flows with Weak Quenched Disorder
- Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell
- Anomalous Roughening in Experiments of Interfaces in Hele-Shaw Flows with Strong Quenched Disorder
Cited by in corpus (16)
- Fluctuations in fluid invasion into disordered media
- Spontaneous imbibition in porous media: from pore scale to Darcy scale
- On the anomalous dynamics of capillary rise in porous media
- Intrinsic versus super-rough anomalous scaling in spontaneous imbibition
- Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation
- Time dependent couplings and crossover length scales in non-equilibrium surface roughening
- Activity statistics, avalanche kinetics, and velocity correlations in surface growth
- Nonuniversal effects in mixing correlated-growth processes with randomness: Interplay between bulk morphology and surface roughening
- Influence of Disorder Strength on Phase Field Models of Interfacial Growth
- Dynamical scaling of imbibition in columnar geometries
- Surface super-roughening driven by spatiotemporally correlated noise
- Anomalous Roughening of Curvature-Driven Growth With a Variable Interface Window
- Anomalous scaling of heterogeneous elastic lines: a new picture from sample to sample fluctuations
- Implementation of a Wiener Chaos Expansion Method for the Numerical Solution of the Stochastic Generalized Kuramoto-Sivashinsky Equation driven by Brownian motion forcing
- Interface dynamics of immiscible two-phase lattice-gas cellular automata: A model with random dynamic scatterers and quenched disorder in two dimensions
- Elastic heterogeneity governs anomalous scaling in a soft porous crystal