Steady-state two-phase flow in porous media: statistics and transport properties

Phys Rev Lett. 2009 Feb 20;102(7):074502. doi: 10.1103/PhysRevLett.102.074502. Epub 2009 Feb 18.

Abstract

We study experimentally the case of steady-state simultaneous two-phase flow in a quasi-two-dimensional porous media. The dynamics is dominated by the interplay between a viscous pressure field from the wetting fluid and bubble transport of a less viscous, nonwetting phase. In contrast with more studied displacement front systems, steady-state flow is in equilibrium, statistically speaking. The corresponding theoretical simplicity allows us to explain a data collapse in the cluster size distribution as well as the relation |nablaP| proportional, sqrt[Ca] between the pressure gradient in the system and the capillary number.