Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell.

@article{Paun2003KineticRI,
  title={Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell.},
  author={E Paun{\'e} and Jaume Casademunt},
  journal={Physical review letters},
  year={2003},
  volume={90 14},
  pages={
          144504
        }
}
A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast, c=(mu(1)-mu(2))/(mu(1)+mu(2)), in a model porous medium defined as a Hele-Shaw cell with random gap b(0)+delta b. Fluctuations of both capillary and viscous pressure are explicitly related to the microscopic quenched disorder, yielding conserved, nonconserved, and power-law correlated noise terms. Two length scales are identified that control the possible scaling regimes and… Expand

Figures and Topics from this paper

Dynamics and kinetic roughening of interfaces in two-dimensional forced wetting
Abstract.We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phaseExpand
Roughness and intermittent dynamics of imbibition fronts due to capillary and permeability disorder.
TLDR
The dynamics appear to be equivalent in both regime, and the correlation length of the local velocities along the front is observed to follow the same dependence l(c)~1/v in both regimes. Expand
Imbibition in disordered media
The physics of liquids in porous media gives rise to many interesting phenomena, including imbibition where a viscous fluid displaces a less viscous one. Here we discuss the theoretical andExpand
Avalanches, Non-Gaussian Fluctuations and Intermittency in Fluid Imbibition
We review our work on the invasion of a model open fracture by a viscous wetting fluid , in the context of research on the spatiotemporal dynamics of fronts in disordered media . The model consistsExpand
Non-equilibrium dynamics of fluids in disordered media
Fluid flows in disordered media are present in natural and industrial processes such as soil irrigation and secondary oil recovery. These flows display complex spatial and temporal non-equilibriumExpand
Interface equations for capillary rise in random environment.
TLDR
This work develops a systematic projection formalism that allows inclusion of disorder in the equations of motion for meniscus and contact line variables, which become local in the Fourier space representation and derives dispersion relations that contain effective noise that is linearly proportional to the velocity. Expand
Multiphase CFD modeling of front propagation in a Hele-Shaw cell featuring a localized constriction
Liquid-gas front propagation in disordered media exhibits unique behavior during a repeated series of drainage-imbibition displacements. Such complex behavior in a disordered media can be simplifiedExpand
Front roughening in three-dimensional imbibition
Abstract. We investigate the structure and dynamics of the interface between two immiscible liquids in a three-dimensional disordered porous medium. We apply a phase-field model that includesExpand
Dynamical scaling of imbibition in columnar geometries.
TLDR
Numerical integrations of a phase-field model with dichotomic columnar disorder show that two distinct behaviors are possible depending on the capillary contrast between the two values of disorder: in a high-contrast case, where interface evolution is mainly dominated by the disorder, an inherent anomalous scaling is always observed. Expand
Deformation of fluid fronts in a gap-modulated Hele-Shaw cell
We have studied experimentally the morphology and dynamics of stable oil-air displacements in a gap-modulated Hele-Shaw cell, in the case where the modulation is persistent in the direction of frontExpand
...
1
2
3
...

References

SHOWING 1-10 OF 25 REFERENCES
Fractal Concepts in Surface Growth
Radicals on Surfaces is volume 13 of Topics in Molecular Organization and Engineering. The individual contributions of 11 invited specialists from around the world result in a comprehensive reviewExpand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Theory of Distributions: A Non-Technical Introduction
Preface 1. Introduction 2. The elements of distribution theory: Section 1. Basic Definitions and Facts Section 2. Convolutions 3. Examples of distributions 4. Fourier transforms 5. TemperedExpand
Phys
  • Rev. Lett. 89, 104503
  • 2002
Phys. Rev. E
  • Phys. Rev. E
  • 2002
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2002
Phys. Rev. Lett
  • Phys. Rev. Lett
  • 2002
Europhys. Lett
  • Europhys. Lett
  • 2001
Phys. Rev. E
  • Phys. Rev. E
  • 2001
Phys. Rev. Lett. Eur. Phys. J. B
  • Phys. Rev. Lett. Eur. Phys. J. B
  • 1999
...
1
2
3
...