Formulation and numerical analysis of nonisothermal multiphase flow in porous media

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Description

A mathematical formulation is presented for describing the transport of air, water 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 various mixing rules and thermodynamic relations completes the system of equations. A numerical simulation scheme, employing the method of lines, is described for one-dimensional flow. ... continued below

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35 p.

Creation Information

Martinez, M.J. June 1, 1995.

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Author

  • Martinez, M.J. Sandia National Labs., Albuquerque, NM (United States). Engineering Sciences Center

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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 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 various mixing rules and thermodynamic relations completes the system of equations. A numerical simulation scheme, employing the method of lines, is described for one-dimensional flow. The numerical method is demonstrated on sample problems involving nonisothermal flow of air and water. The implementation is verified by comparison with existing numerical solutions.

Physical Description

35 p.

Notes

INIS; OSTI as DE95013836

Source

  • Other Information: PBD: Jun 1995

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Identifier

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  • Other: DE95013836
  • Report No.: SAND--94-0379
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/80978 | External Link
  • Office of Scientific & Technical Information Report Number: 80978
  • Archival Resource Key: ark:/67531/metadc734905

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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Creation Date

  • June 1, 1995

Added to The UNT Digital Library

  • Oct. 18, 2015, 6:40 p.m.

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  • April 14, 2016, 3:55 p.m.

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Martinez, M.J. Formulation and numerical analysis of nonisothermal multiphase flow in porous media, report, June 1, 1995; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc734905/: accessed October 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.