Mathematical and numerical formulation of nonisothermal multicomponent three-phase flow in porous media

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Description

A mathematical formulation is presented for describing the transport of air, water, NAPL, and energy through porous media. The development follows a continuum mechanics approach. The theory assumes the existence of various average macroscopic variables which describe the state of the system. Balance equations for mass and energy are formulated in terms of these macroscopic variables. The system is supplemented with constitutive equations relating fluxes to the state variables, and with transport property specifications. Specification of phase equilibrium criteria, various mixing rules and thermodynamic relations completes the system of equations. A numerical simulation scheme based on finite-differences is described.

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27 p.

Creation Information

Martinez, M.J. September 1, 1995.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

A mathematical formulation is presented for describing the transport of air, water, NAPL, and energy through porous media. The development follows a continuum mechanics approach. The theory assumes the existence of various average macroscopic variables which describe the state of the system. Balance equations for mass and energy are formulated in terms of these macroscopic variables. The system is supplemented with constitutive equations relating fluxes to the state variables, and with transport property specifications. Specification of phase equilibrium criteria, various mixing rules and thermodynamic relations completes the system of equations. A numerical simulation scheme based on finite-differences is described.

Physical Description

27 p.

Notes

OSTI as DE95017639

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  • Other Information: PBD: Sep 1995

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  • Other: DE95017639
  • Report No.: SAND--95-1247
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/109510 | External Link
  • Office of Scientific & Technical Information Report Number: 109510
  • Archival Resource Key: ark:/67531/metadc627731

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • September 1, 1995

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 13, 2016, 2:48 p.m.

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Martinez, M.J. Mathematical and numerical formulation of nonisothermal multicomponent three-phase flow in porous media, report, September 1, 1995; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc627731/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.