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Simulation of incompressible two-phase flow in porous media with large timesteps

Authors
  • Cogswell, Daniel A.
  • Szulczewski, Michael L.
Type
Preprint
Publication Date
Jun 14, 2016
Submission Date
Jun 14, 2016
Identifiers
arXiv ID: 1606.04454
Source
arXiv
License
Yellow
External links

Abstract

The equations for the flow of two immiscible, incompressible fluid phases in porous media are recast as a gradient flow using the phase-field method, and a convex energy splitting scheme is applied to enable unconditionally large timesteps. The model accurately reproduces the Buckley-Leverett solution and is robust with respect to high degrees of heterogeneity in permeability and viscosity. By using the phase-field formulation as a homotopy map, the underlying hyperbolic flow equations can be solved directly with large timesteps. For a heterogeneous test problem, the new formulation allows the timestep to be increased by more than four orders of magnitude relative to the traditional formulation while maintaining both stability and accuracy.

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