Ensemble Distribution for Immiscible Two-Phase Flow in Porous Media
Fluid Dynamics
2017-03-08 v2
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.
Keywords
Cite
@article{arxiv.1606.02569,
title = {Ensemble Distribution for Immiscible Two-Phase Flow in Porous Media},
author = {Isha Savani and Dick Bedeaux and Signe Kjelstrup and Morten Vassvik and Santanu Sinha and Alex Hansen},
journal= {arXiv preprint arXiv:1606.02569},
year = {2017}
}
Comments
23 pages, 9 figures