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Fluctuations in fluid invasion into disordered media.

Martin Rost¹, Lasse Laurson, Martin Dubé

¹Theoretische Biologie, IZMB, Universität Bonn, 53115 Bonn, Germany.

Physical Review Letters

|March 16, 2007

Summary

Fluid invasion in porous media shows velocity fluctuations governed by a geometry-dependent length scale due to fluid conservation. This differs from nonequilibrium depinning transitions.

Area of Science:

Physics
Fluid Dynamics
Materials Science

Background:

Interfaces in disordered media display velocity fluctuations.
These fluctuations follow universal scaling laws linked to conservation laws.

Purpose of the Study:

Investigate velocity fluctuations during fluid invasion in porous media.
Determine the governing factors and compare with other interface dynamics.

Main Methods:

Analysis of interface dynamics in disordered media.
Theoretical modeling of fluid conservation effects.
Comparison with nonequilibrium depinning transition models.

Main Results:

Fluid conservation in porous media introduces a geometry-dependent length scale.

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This scale governs the velocity fluctuations during fluid invasion.

Observed statistics differ from those of depinning transitions.

Conclusions:

Fluid conservation is a key factor in interface dynamics within porous media.
The findings provide insights into fluid flow and interface motion.
Distinguishes fluid invasion from other interface phenomena.