Filters. The number of channels that can clog in a network

SIAM Journal on Applied Mathematics

Volumn 69, Issue 3, 2008, Pages 743-762

  Kampel, Guido ^a   Goldsztein, Guillermo H ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Clogging; Euler formula; Filters; Networks; Planar graphs; Porous media

Indexed keywords

CLOGGING; EULER FORMULA; FILTERS; NETWORKS; PLANAR GRAPHS; POROUS MEDIA;

POROUS MATERIALS;

SUSPENSIONS (FLUIDS);

EID: 66149150175     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/080723703     Document Type: Article

References (32)

1. S. L. BRYANT, D. W. MELLOR, AND C. A. CADE, Physically representative network models of transport in porous media, AIChE J., 39 (1993), pp. 387-396.
2. V. N. BURGANOS, C. A. PARASKEVA, AND A. C. PAYATAKES, Three-dimensional trajectory analysis and network simulation of deep bed filtration, J. Colloid Interf. Sci., 148 (1992), pp. 167-181.
3. H. C. CHAN, S. C. CHEN, AND Y. I. CHANG, Simulation: The deposition behavior of Brownian particles in porous media by using the triangular network model, Sep. Purif. Technol., 44 (2005), pp. 103-114.
4. F. CLVAN, Reservoir Formation Damage, Gulf Publishing Company, Houston, TX, 2000.
5. G. DAGAN, Flow and Transport in Porous Formations, Springer-Verlag, Berlin, 1989.
6. S. DATTA AND S. REDNER, Gradient clogging in depth filtration, Phys. Rev. E, 58 (1998), pp. 1203-1206.
7. R. DLESTEL, Graph Theory, 3rd ed., Springer, Berlin, 2005.
8. E. C. DONALDSON, B. A. BAKER, AND H. B. CARROL, Particle transport in sandstones, SPE paper 6905, presented at the 52nd annual fall meeting of the SPE of AIME (Denver, CO), 1977.
9. F. A. L. DULLIEN, Porous Media. Fluid Transport and Pore Structure, 2nd ed., Academic Press, New York, 1992.
10. I. FATT, The network model of porous media-I. Capillary pressure characteristics, Trans. Am. Inst. Min. Engrs., 207 (1956), pp. 144-159.
11. I. FATT, The network model of porous media-II. Dynamic properties of a single size tube network, Trans. Am. Inst. Min. Engrs., 207 (1956), pp. 160-163.
12. I. FATT, The network model of porous media-III. Dynamic properties of networks with tube radius distributions, Trans. Am. Inst. Min. Engrs., 207 (1956), pp. 164-181.
13. G. GRIMMETT, Percolation, 2nd ed., Springer, Berlin, 1999.
14. J. H. D. HAMPTON, S. B. SAVAGE, AND R. A. L. DREW, Computer modeling of filter pressing and clogging in a random tube network, Chem. Eng. Sci., 48 (1993), pp. 1601-1611.
15. J. P. HERZIG, D. M. LECLERC, AND P. LE GOFF, Flow of suspensions through porous media-Application to deep filtration, Ind. Eng. Chem., 62 (1970), pp. 8-35.
16. A. O. IMDAKM AND M. SAHIMI, Transport of large particles in flow through porous media, Phys. Rev. A, 36 (1987), pp. 5304-5309.
17. A. O. IMDAKM AND M. SAHIMI, Computer-simulation of particle-transport processes in flow through porous media, Chem. Eng. Sci., 46 (1991), pp. 1977-1993.
18. J. M. MONTGOMERY, Water Treatment Principles and Design, John Wiley & Sons, New York, 1985.
19. K. C. KHILAR AND H. S. FOGLER, Migration of Fines in Porous Media, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998.
20. Y. S. KIM AND A. J. WHITTLE, Filtration in a porous granular medium: 2. Application of bubble model to 1-D column experiments, Transp. Porous Media, 65 (2006), pp. 309-335.
21. J. LEE AND J. KOPLIK, Network model for deep bed filtration, Phys. Fluids, 13 (2001), pp. 1076-1086.
22. B. E. LOGAN, Environmental Transport Processes, John Wiley & Sons, New York, 1999.
23. J. D. LOGAN, Transport Modeling in Hydrogeochemical Systems, Springer-Verlag, New York, 2001.
24. L. M. MCDOWELL-BOYER, J. R. HUNT, AND N. SITAR, Particle transport through porous media, Water Resource Res., 22 (1986), pp. 1901-1921.
25. S. D. REGE AND H. S. FOGLER, A network model for deep bed filtration of solid particles and emulsion drops, AIChE J., 34 (1988), pp. 1761-1772.
26. J. N. RYAN AND M. ELIMELECH, Colloid mobilization and transport in groundwater, Colloids Surfaces A, 107 (1996), pp. 1-56.
27. M. SAHIMI, Applications of Percolation Theory, Taylor & Francis, London, 1994.
28. M. SAHIMI, G. R. GAVALAS, AND T. T. TSOTSIS, Statistical and continuum models of fluid-solid reactions in porous media, Chem. Eng. Sci., 45 (1990), pp. 1443-1502.
29. B. J. SUCHOMEL, B. M. CHEN, AND M. B. ALLEN, Network model of flow, transport and biofilm effects in porous media, Transp. Porous Media, 30 (1998), pp. 1-23.
30. K. E. THOMPSON AND H. S. FOGLER, Modeling flow in disordered packed beds from pore-scale fluid mechanics, AIChE J., 43 (1997), pp. 1377-1389.
31. D. TIAB AND E. C. DONALDSON, Petrophysics, Gulf Publishing Company, Houston, TX, 1996.
32. C. TIEN AND A. PAYATAKES, Advances in deep bed filtration, AIChE J., 25 (1979), pp. 737-759.