Dissolution of an immobile phase during flow in porous media

Industrial and Engineering Chemistry Research

Volumn 38, Issue 3, 1999, Pages 833-844

  Quintard, Michel ^a   Whitaker, Stephen ^b  

^a IMFT   (France)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FREEZING; MASS TRANSFER; MELTING; PHASE INTERFACES; POROUS MATERIALS; THERMAL GRADIENTS; TWO PHASE FLOW; VOLUME FRACTION;

EVOLUTIONARY TRANSPORT EQUATION; MASS TRANSFER COEFFICIENTS;

DISSOLUTION;

FREEZING; MELTING; MULTIPHASE FLOW; POROUS MEDIUM; SOLUTE TRANSPORT; SOLUTION (CHEMICAL);

DISSOLUTION; POROUS MEDIUM; SEDIMENTARY BASIN; SOLUTE TRANSPORT;

ARTICLE; CHEMICAL PROCEDURES; DISSOLUTION; FLOW MEASUREMENT; HYDRODYNAMICS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; POROSITY;

EID: 0033103904     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie980212t     Document Type: Article

References (36)

1. Abriola, L.; Pinder, G. F. A multiphase approach to the modeling of porous media contaminated by organic compounds. 1. Equation development. Water Resour. Res. 1985, 21, 19-26.
2. Corapcioglu, M. Y.; Baehr, A. L. A compositional multiphase model for groundwater contamination by petroleum products. I. theoretical considerations. Water Resour. Res. 1987, 23, 191-200.
3. Kaluarachchi, J. J. and Parker, J. C. Modeling multicomponent organic chemical transport in three-fluid-phase porous media. J. Contam. Hydrol. 1990, 5, 349-374.
4. Powers, S. E.; Loureiro, C. O.; Abiola, L. M.; Weber, W. J. Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems. Water Resour. Res. 1991, 27, 463-477.
5. Robinson, R. L.; Slattery, J. C. Estimation of three-phase relative permeabilities. Transp. Porous Media 1994,16, 263-287.
6. Ahmadi, A.; Quintard, M. Large-scale properties for two-phase flow in random porous media. J. Hydrol. 1996, 183, 69-99.
7. Hassanizadeh, S. M.; Gray, W. G. Recent advances in theories of two-phase flow in porous media. In Flow in Porous Media; Du Plessis, J. P., Ed.; Computational Mechanics Publications: Southampton, U.K., 1997; Chapter 3.
8. Plumb, O. A.; Whitaker, S. Diffusion, adsorption, and dispersion in porous media: Small-scale averaging and local volume averaging. In Dynamics of Fluids in Hierarchical Porous Media; Cushman, J. H., Academic Press: New York, 1990; Chapter V.
9. Whitaker, S. Volume averaging of transport equations. In Flow in Porous Media; Du Plessis, J. P., Ed.; Computational Mechanics Publications: Southampton, U.K., 1997; Chapter 1.
10. Baveye, P.; Valocchi, A. An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers. Water Resour. Res, 1989, 25, 1413-1421.
11. Kim, S.; Corapcioglu, M. Y. The role of biofilm growth in bacteria-facilitated contaminant transport in porous media. Transp. Porous Media 1997, 26, 161-181.
12. Wood, B. D.; Whitaker, S. Diffusion and reaction in biofilms. Chem. Eng. Sci. 1998, 53, 397-425.
13. Miller, C. T.; Poirier-McNeill, M. M.; Mayer, A. S. Dissolution of trapped nonaqueous phase liquids: Mass transfer characteristics. Water Resour. Res. 1990, 26, 2783-2796.
14. Powers, S. E.; Abriola, L. M.; Weber, W. J. An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Steady-state mass transfer rates. Water Resour. Res. 1992, 28, 2691-2705.
15. Mayer, A. S.; Miller, C. T. The influence of mass transfer characteristics and porous media heterogeneity on nonaqueous phase dissolution. Water Resour. Res. 1996, 32, 1551-1567.
16. Imhoff, P. T.; Jaffé, P. R.; Pinder, G. F. An experimental study of complete dissolution of a nonaqueous phase liquid in saturated porous media. Water Resour. Res. 1993, 30, 307-320.
17. Quintard, M.; Whitaker, S. The mass flux boundary condition at a moving fluid - fluid interface. Ind. Chem. Eng. Res. 1995, 34, 3508-3513.
18. Slattery, J. C. Interfacial Transport Phenomena; Springer-Verlag: New York, 1990.
19. Quintard, M.; Whitaker, S. Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media. Adv. Water Resour. 1994, 17, 221-239.
20. Anderson, T. B.; Jackson, R. A fluid mechanical description of fluidized beds. Ind. Eng. Chem. Fundam. 1967, 6, 527-538.
21. Marie, C. M. Single-phase flow in porous media. Rev. Inst. Fr. Pet. 1967, 22 (10), 1471-1509.
22. Slattery, J. C. Flow of viscoelastic fluids through porous media. AIChE J. 1967, 13, 1066-1071.
23. Whitaker, S. Diffusion and dispersion in porous media. AIChE J. 1967, 13, 420-427.
24. Whitaker, S. A simple geometrical derivation of the spatial averaging theorem. Chem. Eng. Educ. 1985, 19, 18-21, 50-52.
25. Gray, W. G. A derivation of the equations for multiphase transport. Chem. Eng. Sci. 1975, 30, 229-233.
26. Carbonell, R. G.; Whitaker, S. Dispersion in pulsed systems. II. Theoretical developments for passive disperison in porous media. Chem. Eng. Sci. 1983, 38, 1795-1802.
27. Carbonell, R. G.; Whitaker, S. Heat and mass transfer in porous media. In Fundamentals of Transport Phenomena in Porous Media; Bear, J., Corapcioglu, M. Y., Eds.; Martinus Nijhoff Publishers: Dordrecht, The Netherlands, 1984; pp 123-198.
28. Quintard, M.; Whitaker, S. Transport in ordered and disordered porous media. II. Generalized volume averaging. Transp. Porous Media 1994, 14, 179-206.
29. Whitaker, S. Flow in porous media. II. The governing equations for immiscible two-phase flow. Transp. Porous Media 1986, 1, 105-125.
30. Lasseux, D.; Quintard, M.; Whitaker, S. Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory. Transp. Porous Media 1996, 24, 107-137.
31. Whitaker, S. Levels of simplification: The use of assumptions, restrictions, and constraints in engineering analysis. Chem. Eng. Ed. 1988, 22, 104-108.
32. Ryan, D.; Carbonell, R. G.; Whitaker, S. A theory of diffusion and reaction in porous media. AIChE Symp. Ser. 1981, 71, 46-62.
33. Whitaker, S. Transport processes with heterogeneous reaction. In Concepts and Design of Chemical Reactors; Whitaker, S., Cassano, A. E., Eds.; Gordon and Breach Publishers: New York, 1986; pp 1-94.
34. Quintard, M.; Whitaker, S. Transport in ordered and disordered porous media: Volume averaged equations, closure problems, and comparison with experiment. Chem. Eng. Sci. 1993, 48, 2537-2564.
35. Ochoa-Tapia, J. A.; Stroeve, P.; Whitaker, S. Diffusive transport in two-phase media: Spatially periodic models and Maxwell's theory for isotropic and anisotropic systems. Chem. Eng. Sci. 1994, 49, 709-726.
36. Quintard, M.; Whitaker, S. One- and two-equation models for transient diffusion processes in two-phase systems. Advances in Heat Transfer; Academic Press: New York, 1993; Vol. 23, pp 369-465.