title: Steady-state two-phase flow in porous media: statistics and transport properties.
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.
authors.affiliation: Department of Physics, University of Oslo, P.B. 1048 Blindern, NO-0316 Oslo, Norway.
authors.forename: Ken Tore
authors.initials: KT
authors.lastname: Tallakstad
authors.forename: Henning Arendt
authors.initials: HA
authors.lastname: Knudsen
authors.forename: Thomas
authors.initials: T
authors.lastname: Ramstad
authors.forename: Grunde
authors.initials: G
authors.lastname: Løvoll
authors.forename: Knut Jørgen
authors.initials: KJ
authors.lastname: Måløy
authors.forename: Renaud
authors.initials: R
authors.lastname: Toussaint
authors.forename: Eirik Grude
authors.initials: EG
authors.lastname: Flekkøy