Volume-averaged Mass Equations for Multiphase Flow in Porous Media for In Situ Combustion

References

• Andrew , S. A. , Dennis , E. R. and Whitaker , S. 2003 . New equations for binary gas transport in porous media. Part 1: Equations development . Advances in Water Resources , 26 : 695 – 715 .
   Web of Science ®Google Scholar
• Aziz , K. and Settari , A. 1979 . Petroleum reservoir simulation London , , England : Applied Science. .
   Google Scholar
• Bousquet-Melou , P. , Goyeau , B. , Quintard , M. , Fichot , F. and Gobin , D. 2002 . Average momentum equation for interdentritic flow in a solidifying columnar mushy zone . International Journal of Heat and Mass Transfer , 45 : 3651 – 3665 .
   Web of Science ®Google Scholar
• Chu , C. 1964 . The vaporization-condensation phenomenon in a linear heat wave . Society of Petroleum Engineers Journal , 680 : 85 – 95 .
   Google Scholar
• Duval , F. , Fichot , F. and Quintard , M. 2004 . A local thermal non-equilibrium model for two-phase flow with phase change in porous media . International Journal of Heat and Mass Transfer , 47 : 613 – 639 .
   Web of Science ®Google Scholar
• Gottfried , B. S. 1965 . A mathematical model of thermal oil recovery in linear systems . Society of Petroleum Engineers Journal , 1171 : 196 – 210 .
   Google Scholar
• Gottfried , B. S. and Mustafa , K. 1978 . Computer simulation of thermal oil recovery processes . Society of Petroleum Engineers Journal , 7824 : 1 – 42 .
   Google Scholar
• Gray , W. G. 1975 . A derivation of the equations for multiphase transport . Chemical Engineering Science , 30 : 229 – 233 .
   Web of Science ®Google Scholar
• Gray , W. G. and Hassanizadeh , S. M. 1998 . Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points . Advances in Water Resources , 21 : 261 – 281 .
   Web of Science ®Google Scholar
• Hassanizadeh , S. M. and Gray , W. G. 1990 . Mechanics and thermodynamics of multiphase flow in porous media including interface boundaries . Advances in Water Resources , 13 : 169 – 185 .
   Web of Science ®Google Scholar
• Nakayama , A. , Kuwahara , F. , Sugiyama , M. and Xu , G. 2001 . A two energy equations model for conduction and convection in porous media . International Journal Heat and Mass Transfer , 44 : 4375 – 4379 .
   Web of Science ®Google Scholar
• Peaceman , D. W. 1977 . Fundamentals of numerical reservoir simulation New York , NY : Elsevier Scientific. .
   Google Scholar
• Soria , A. and De Lasa , H. I. 1991 . Averaged transport equations for multiphase systems with interfacial effects . Chemical Engineering Science , 46 : 2093 – 2111 .
   Web of Science ®Google Scholar
• Whitaker , S. A. 1967 . Diffusion and dispersion in porous media . AICHE , 13 : 420 – 427 .
   Web of Science ®Google Scholar