Homogenization theory applied to soil vapor extraction in aggregated soils

Physics of Fluids

Volumn 8, Issue 9, 1996, Pages 2298-2306

  Ng, Chiu On ^a   Mei, Chiang C ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOILS; VAPOURS;

CONVECTIVE DIFFUSION; HOMOGENIZATION; ORGANIC COMPOUND; SOIL AGGREGATE; SOIL VAPOUR EXTRACTION; VOC;

EID: 0030480918     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869017     Document Type: Article

References (41)

1. T. A. Pedersen and J. T. Curtis. Soil Vapor Extraction Technology Reference Handbook (U.S. Environmental Protection Agency, Washington, D.C., 1991), Report EPA/540/2/91/003.
2. G. M. Long, "Clean up hydrocarbon contamination effectively," Chem. Eng. Prog. 89, 58 (1993).
3. D. J. Wilson. A. N. Clarke, and J. H. Clarke, "Soil clean up by in-situ aeration. I. Mathematical modeling," Sep. Sci. Technol. 23, 991 (1988).
4. P. C. Johnson, C. C. Stanley, M. W. Kemblowski, D. L. Byers, and J. D. Colthart, "A practical approach to the design, operation, and monitoring of in situ soil-venting systems," Ground Water Monitoring Rev. 10, 159 (1990).
5. D. C. Noonan, W. K. Glynn, and M. E. Miller, "Enhance performance of soil vapor extraction," Chem. Eng. Prog. 89, 55 (1993).
6. P. B. Bedient, H. S. Rifai, and C. J. Newell, Ground Water Contamination (Prentice-Hall, Englewood Cliffs, NJ, 1994).
7. L. M. Abriola and G. F. Pinder, "A multiphase approach to the modeling of porous media contamination by organic compounds. 1. Equation development," Water Resour. Res. 21, 11 (1985).
8. M. Y. Corapcioglu and A. L. Baehr, "A compositional multiphase model for groundwater contamination by petroleum products. 1. Theoretical considerations," Water Resour. Res. 23, 191 (1987).
9. J. J. Kaluarachchi and J. C. Parker, "Modeling multicomponent organic chemical transport in three-fluid-phase porous media," J. Contam. Hydrol. 5, 349 (1990).
10. K. Rathfelder, W. W.-G. Yeh, and D. Mackay, "Mathematical simulation of soil vapor extraction systems: model development and numerical examples," J. Contam. Hydrol. 8, 263 (1991).
11. C. T. Chiou and T. D. Shoup, "Soil sorption of organic vapors and effects of humidity on sorptive mechanism and capacity," Environ. Sci. Technol. 19, 1196 (1985).
12. A. L. Baehr, G. E. Hoag, and M. C. Marley, "Removing volatile contaminants from the unsaturated zone by inducing advective air-phase transport, " J. Contam. Hydrol. 4, 1 (1989).
13. P. C Johnson, M. W. Kemblowski, and J. D. Colthart, "Quantitative analysis for the cleanup of hydrocarbob-contaminated soils by in-situ soil venting," Ground Water 28, 413 (1990).
14. J. S. Gierke, N. J. Hatzler, and D. B. McKenzie, "Vapor transport in unsaturated soil columns: implications for vapor extraction," Water Resour. Res. 28, 323 (1992).
15. P. Grathwohl and M. Reinhard, "Desorption of Trichloroethylene in aquifer material: rate limitation at the grain scale," Environ. Sci. Technol. 27, 2360 (1993).
16. D. C. DiGiulio, "Evaluation of soil venting application," J. Hazardous Mater. 32, 279 (1992).
17. J. E. Armstong, E. O. Frind, and R. D. McClellan, "Nonequalibrium mass trnsfer between the vapor, aqueous, and solid phases in unsaturated soils during vapor extraction," Water Resour. Res. 30, 355 (1994).
18. M. Th. van Genuchten and P. J. Wierenga, "Mass transfer studies in sorbing porous media I. Analytical solutions," Soil Sci. Soc. Am. J. 40, 473 (1976).
19. P. S. C. Rao, R. E. Jessup, D. E. Roslton, J. M. Davidson, and D. P. Klicrease, "Experimental and mathematical description of nonadsorbed solute transfer by diffusion in spherical aggregates," Soil Sci. Soc. Am. J. 44, 684 (1980).
20. P. S. C. Rao, D. E. Rolston, R. E. Jessup, and J. M. Davidson, "Solute transport in aggregated porous media: theoretical and experimental evaluation," Soil. Sci. Soc. Am. J. 44, 1139 (1980).
21. P. Nkedi-Kizza, P. S. C. Rao. R. E. Jessup, and J. M. Davidson, "Ion-exchange and diffusive mass transfer during miscible displacement through an aggregated Oxisol," Soil Sci. Soc. Am. J. 46, 471 (1982).
22. M. Th. van Genuchten, "A general approach for modeling solute transport in structured soils," Memoirs IAH 17, 513 (1985).
23. M. N. Goltz and P. V. Roberts, "Interpreting organic solute transport data from a field experiment using physical nonequilibrium models," J. Contam. Hydrol. 1, 77 (1986).
24. J. B. Rosen, "Kinetics of a fixed bed system for solid diffusion into spherical particles," J. Chem. Phys. 20, 387 (1952).
25. G. L. Pellett, "Longitudinal dispersion, intraparticle diffusion and liquid-phase mass transfer during flow through multiparticle systems," Tappi 49, 75 (1966).
26. A. Rasmuson and I. Neretnieks, "Exact solution of a model for diffusion in particles and longitudinal dispersion in packed beds," AIChE. J. 26, 686 (1980).
27. U. Hornung, "Miscible displacement in porous media influenced by mobile and immobile water," Rocky Mt. J. Math. 21, 645 (1991).
28. M. N. Goltz and P. V. Roberts, "Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones," Water Resour. Res. 22, 1139 (1986).
29. M. L. Brusseau, "Transport of organic chemicals by gas advection in structured or heterogeneous porous media: Development of a model and application to column experiments," Water Resour. Res. 27, 3189 (1981).
30. B. J. McCoy and D. E. Rolston, "Convectivc transport of gases in moist porous media: effect of absorption, adsorption, and diffusion in soil aggregates," Environ. Sci. Technol. 26, 2468 (1992).
31. C. O. Ng and C. C. Mei, "Aggregate diffusion model applied to soil vapor extraction in unidirectional and radial flows," Water Resour. Res. 32, 1289 (1996).
32. S. C. Wu and P. M. Gschwend, "Sorption kinetics of hydrophobic organic compounds to natural sediments and soils," Environ. Sci. Technol. 20, 717 (1986).
33. C. C. Mei, "Method of homogenization applied to dispersion in porous medis," Transport Porous Media 9, 261 (1992).
34. A. H. Nayfeh, Perturbation Methods (Wiley, New York, 1973).
35. H. I. Ene and E. Sanchez-Palencia, "Equations et Phénomènes de surface pour l'écoulement dans un modèle de milieu poreux," J. Mec. 14, 73 (1975).
36. R. P. Schwarzenbach, P. M. Gschwend, and D. M. Imboden, Environmental Organic Chemistry (Wiley, New York, 1993).
37. C. C. Mei, J. L., Auriault, and C. O. Ng, "Some Applications of the homogenization theory," Adv. Appl. Mech. 32, 277 (1996).
38. S. Whitaker, "A simple geometrical derivation of the spatial averaging theorem," Chem. Eng. Edu. 19, 18 (1985).
39. W. G. Gray and P. C. Y. Lee, "On the theorems for local volume averaging of multiple systems," Int. J. Multiphase Flow 3, 333 (1977).
40. H. Brenner, "Dispersion resulting from through spatially periodic porous media," Philos. Trans. R. Soc. London Ser. A 297, 81 (1980).
41. H. S. Carslaw and J. C. Jaeger, Conduction of Hear in Solids, 2nd ed. (Oxford University Press, Oxford, 1959).