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Ensemble distribution for immiscible two-phase flow in porous media
Isha Savani1, Dick Bedeaux2, Signe Kjelstrup2
1Department of Physics, Norwegian University of Science and Technology, NTNU, N-7491 Trondheim, Norway.
Physical Review. E
|March 17, 2017
Summary
This study introduces an ensemble distribution to model two-phase flow in porous media, revealing the system
Area of Science:
- Physics
- Fluid Dynamics
- Porous Media Science
Background:
- Understanding multiphase flow in porous media is crucial for various applications.
- Existing models often lack a comprehensive statistical description of fluid interactions.
Purpose of the Study:
- To develop an ensemble distribution for steady immiscible two-phase flow.
- To compute macroscopic flow parameters and derive the overall mobility.
- To analyze entropy production at the pore scale.
Main Methods:
- Construction of an ensemble distribution for two-phase flow.
- Ergodicity analysis of the system.
- Derivation of macroscopic flow parameters from the distribution.
- Numerical testing of theoretical findings.
Main Results:
- The two-phase flow system in porous media is found to be ergodic.
- An expression for overall system mobility is derived from the ensemble distribution.
- Entropy production is shown to equal the product of average flow and driving force.
Conclusions:
- The ensemble distribution provides a robust framework for analyzing two-phase flow.
- The study validates theoretical results through numerical simulations.
- This approach enhances the understanding of fluid behavior in porous materials.
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