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Non-equilibrium model of three-phase flow in porous media in presence of capillary and gravity forces

Jahanbakhshi, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jhydrol.2012.11.051
  3. Abstract:
  4. In this work a generalized non-equilibrium model of three-phase flow in porous media including gravity as well as capillary terms is developed and used for analysis of Riemann's problem in several three-phase systems. The proposed model uses the extension of Barenblatt model to three-phase systems considering dynamic effects in both relative permeability and capillary pressure functions. We compare the solution of the Riemann's problem when non-equilibrium effects are included. While equilibrium formulation develops unstable oscillatory solution in the elliptic region, non-equilibrium solution is smooth and stable. The results of this work might be helpful to better understanding the behavior of three-phase flow in porous media
  5. Keywords:
  6. Gravity ; Non-equilibrium modeling ; Three-phase flow ; Elliptic regions ; Non-equilibrium modeling ; Riemann problem ; Porous materials ; Gravitation ; capillarity ; gravity field ; oscillating flow ; permeability ; porous medium
  7. Source: Journal of Hydrology ; Vol. 478, issue , November , 2013 , p. 119-131 ; ISSN: 00221694
  8. URL: http://www.sciencedirect.com/science/article/pii/S002216941201030X