Attachment and detachment rate distributions in deep-bed filtration

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

  Lin, Hsiang Ku ^a   Pryadko, Leonid P ^a   Walker, Sharon ^b   Zandi, Roya ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; CONVECTION DIFFUSION; DEEP BED FILTRATION; DEPOSITION DYNAMICS; DETACHMENT RATE; DISPERSIVITY; EXPERIMENTAL PROTOCOLS; MEAN-FIELD DESCRIPTION; NUMERICAL MODELS; PROPAGATION VELOCITIES; SATURATED POROUS MEDIA; SHALLOW TRAPS; TIME ASYMPTOTIC;

ASYMPTOTIC ANALYSIS; FLUID DYNAMICS; GROUNDWATER POLLUTION; MODELS; POROUS MATERIALS; RATE CONSTANTS;

FILTRATION;

EID: 66049084339     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046321     Document Type: Article

References (39)

1. A. O. Imdakm and M. Sahimi, Phys. Rev. A 36, 5304 (1987). 10.1103/PhysRevA.36.5304
2. L. Bloomfield, Sci. Am. 281, 152 (1999).
3. L. Luhrmann, U. Noseck, and C. Tix, Water Resour. Res. 34, 421 (1998). 10.1029/97WR03468
4. R. W. Harvey and S. P. Garabedian, Environ. Sci. Technol. 25, 178 (1991). 10.1021/es00013a021
5. J. P. Herzig, D. M. Leclerc, and P. le Goff, Ind. Eng. Chem. 62, 8 (1970). 10.1021/ie50725a003
6. C. Tien and A. C. Payatakes, AIChE J. 25, 737 (1979). 10.1002/aic.690250502
7. H.-W. Chiang and C. Tien, AIChE J. 31, 1360 (1985). 10.1002/aic.690310815
8. S. Vigneswaran and C. J. Song, Water, Air, Soil Pollut. 29, 155 (1986).
9. S. Vigneswaran and R. K. Tulachan, Water Res. 22, 1093 (1988). 10.1016/0043-1354(88)90003-6
10. C. Ghidaglia, E. Guazzelli, and L. Oger, J. Phys. D 24, 2111 (1991). 10.1088/0022-3727/24/11/031
11. J. E. Tobiason and B. Vigneswaran, Water Res. 28, 335 (1994). 10.1016/0043-1354(94)90271-2
12. J. Lee and J. Koplik, Phys. Rev. E 54, 4011 (1996). 10.1103/PhysRevE.54. 4011
13. S. Vigneswaran and J. S. Chang, Water Res. 23, 1413 (1989). 10.1016/0043-1354(89)90081-X
14. V. Jegatheesan and S. Vigneswaran, Crit. Rev. Environ. Sci. Technol. 35, 515 (2005). 10.1080/10643380500326432
15. O. Albinger, B. K. Biesemeyer, R. G. Arnold, and B. E. Logan, FEMS Microbiol. Lett. 124, 321 (1994). 10.1111/j.1574-6968.1994.tb07303.x
16. J. C. Baygents, Environ. Sci. Technol. 32, 1596 (1998). 10.1021/es9707116
17. S. F. Simoni, H. Harms, T. N. P. Bosma, and A. J. B. Zehnder, Environ. Sci. Technol. 32, 2100 (1998). 10.1021/es970936g
18. C. H. Bolster, A. L. Mills, G. M. Hornberger, and J. S. Herman, Water Resour. Res. 35, 1797 (1999). 10.1029/1999WR900031
19. C. H. Bolster, A. L. Mills, G. Hornberger, and J. Herman, Ground Water 38, 370 (2000). 10.1111/j.1745-6584.2000.tb00222.x
20. J. A. Redman, S. B. Grant, T. M. Olson, and M. K. Estes, Environ. Sci. Technol. 35, 1798 (2001). 10.1021/es0010960
21. J. A. Redman, M. K. Estes, and S. B. Grant, Colloids Surf., A 191, 57 (2001). 10.1016/S0927-7757(01)00764-6
22. N. Tufenkji, J. A. Redman, and M. Elimelech, Environ. Sci. Technol. 37, 616 (2003). 10.1021/es025871i
23. X. Li, T. D. Scheibe, and W. P. Johnson, Environ. Sci. Technol. 38, 5616 (2004). 10.1021/es049154v
24. S. A. Bradford, S. Yates, M. Bettahar, and J. Simunek, Water Resour. Res. 38, 1327 (2002). 10.1029/2002WR001340
25. S. A. Bradford, J. Simunek, M. Bettahar, M. T. van Genuchten, and S. R. Yates, Environ. Sci. Technol. 37, 2242 (2003). 10.1021/es025899u
26. J. S. Yoon, J. T. Germaine, and P. J. Culligan, Water Resour. Res. 42, W06417 (2006). 10.1029/2004WR003660
27. S. Redner and S. Datta, Phys. Rev. Lett. 84, 6018 (2000). 10.1103/PhysRevLett.84.6018
28. W. Hwang and S. Redner, Phys. Rev. E 63, 021508 (2001). 10.1103/PhysRevE.63.021508
29. Y. S. Kim and A. J. Whittle, Transp. Porous Media 65, 309 (2006). 10.1007/s11242-005-6060-0
30. A. Shapiro, P. G. Bedrikovetsky, A. Santos, and O. Medvedev, Transp. Porous Media 67, 135 (2007). 10.1007/s11242-006-0029-5
31. T. D. Scheibe and B. D. Wood, Water Resour. Res. 39, 1080 (2003). 10.1029/2001WR001223
32. L. Lapidus and N. R. Amundson, J. Phys. Chem. 56, 984 (1952). 10.1021/j150500a014
33. T. Jevremovic, Nuclear Principles in Engineering (Springer, New York, 2005), Chap., pp. 297-396.
34. R. Haggerty and S. M. Gorelick, Water Resour. Res. 31, 2383 (1995).
35. Note that Eq. 14 can also be written as a time derivative, g (x,t) = e-βx/v- B1 (t-x/v) t { θ (t-x/v) I0 (ζt) }.
36. C. R. O'Melia and W. Ali, Prog. Water Technol. 10, 167 (1978).
37. H.-W. Chiang and C. Tien, AIChE J. 31, 1349 (1984). 10.1002/aic.690310814
38. D. J. Korteweg and G. de Vries, Philos. Mag. 39, 422 (1895).
39. P. G. Drazin, Solitons, London Mathematical Society Lecture Note Series Vol. 85 (Cambridge University Press, Cambridge, 1983).