Dynamic scaling of the interface in two-phase viscous flows in porous media

V. K. Horvath, F. Family, T. Vicsek

Research output: Contribution to journalArticle

146 Citations (Scopus)

Abstract

The time evolution and geometry of rough interfaces observed in experiments on immiscible displacement of viscous fluids in porous media are analysed using the concepts of dynamic scaling and self-affine fractal geometry. The authors find that the development of the interface is governed by dynamic scaling and they have determined the corresponding surface exponents alpha and beta . The values of the exponents calculated for the experimental patterns are different from those obtained for a variety of two-dimensional models of marginally stable interfaces.

Original languageEnglish
Article number006
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number1
DOIs
Publication statusPublished - 1991

Fingerprint

Dynamic Scaling
Flow in Porous Media
viscous flow
Viscous flow
Viscous Flow
Two-phase Flow
Porous materials
scaling
Geometry
Exponent
exponents
Fractals
Affine geometry
Fractal Geometry
Self-affine
viscous fluids
geometry
two dimensional models
Viscous Fluid
Rough

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Dynamic scaling of the interface in two-phase viscous flows in porous media. / Horvath, V. K.; Family, F.; Vicsek, T.

In: Journal of Physics A: Mathematical and General, Vol. 24, No. 1, 006, 1991.

Research output: Contribution to journalArticle

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