title: Ensemble distribution for immiscible two-phase flow in porous media.
abstract: We construct an ensemble distribution to describe steady immiscible two-phase flow of two incompressible fluids in a porous medium. The system is found to be ergodic. The distribution is used to compute macroscopic flow parameters. In particular, we find an expression for the overall mobility of the system from the ensemble distribution. The entropy production at the scale of the porous medium is shown to give the expected product of the average flow and its driving force, obtained from a black-box description. We test numerically some of the central theoretical results.
authors.affiliation: Department of Physics, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
authors.forename: Isha
authors.initials: I
authors.lastname: Savani
authors.affiliation: Department of Chemistry, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
authors.forename: Dick
authors.initials: D
authors.lastname: Bedeaux
authors.affiliation: Department of Chemistry, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
authors.forename: Signe
authors.initials: S
authors.lastname: Kjelstrup
authors.affiliation: Department of Physics, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
authors.forename: Morten
authors.initials: M
authors.lastname: Vassvik
authors.affiliation: Beijing Computational Science Research Center, 10 East Xibeiwang Road, Haidian District, Beijing 100193, China.
authors.forename: Santanu
authors.initials: S
authors.lastname: Sinha
authors.affiliation: Department of Physics, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
authors.forename: Alex
authors.initials: A
authors.lastname: Hansen