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Multi-Component Multiphase Flow Through a Poroelastic Medium

  • Brian SeguinEmail author
  • Noel J. Walkington
Article
  • 20 Downloads

Abstract

An axiomatic development for a continuum description of a multi-component multiphase porous flow in an elastic medium is developed. The Coleman–Noll procedure is used to derive constitutive restrictions which guarantee that the resulting model satisfies an appropriate statement of the second law of thermodynamics and a corresponding dissipation inequality. Many of the models and formulations appearing in the engineering literature are shown to be special cases of the model developed here.

Keywords

Poroelasticity Multiphase flow Biot theory Thermodynamics 

Mathematics Subject Classification

76S05 74F10 80A17 

Notes

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsLoyola University ChicagoChicagoUSA
  2. 2.Department of Mathematical SciencesCarnegie Mellon UniversityPittsburghUSA

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