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Formulation and numerical analysis of nonisothermal multiphase flow in porous media

Technical Report ·
DOI:https://doi.org/10.2172/80978· OSTI ID:80978
 [1]
  1. Sandia National Labs., Albuquerque, NM (United States). Engineering Sciences Center

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.

Research Organization:
Sandia National Labs., Albuquerque, NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
80978
Report Number(s):
SAND--94-0379; ON: DE95013836
Country of Publication:
United States
Language:
English