Estimating filtration coefficients for straining from percolation and random walk theories

Chemical Engineering Journal

Volumn 210, Issue , 2012, Pages 63-73

  Yuan, Hao ^a   Shapiro, Alexander ^a   You, Zhenjiang ^b   Badalyan, Alexander ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Deep bed filtration; DLVO theory; Percolation; Random walk; Straining

Indexed keywords

DEEP BED FILTRATION; DLVO THEORY; FILTRATION COEFFICIENT; FINITE CLUSTERS; FRACTIONAL FLOW; MIXING CHAMBER; NETWORK MODELS; PARALLEL TUBES; PARTICLE CAPTURE; PERCOLATION LATTICES; PERCOLATION THRESHOLDS; PORE-NETWORK MODELS; POWER-LAW; POWER-LAW FUNCTIONS; RANDOM WALK; RANDOM-WALK THEORY; SIZE EXCLUSION; STRAINING;

PARTICLE SIZE; PERCOLATION (COMPUTER STORAGE); PERCOLATION (FLUIDS); PERCOLATION (SOLID STATE); PORE SIZE; RANDOM PROCESSES; SOLVENTS;

ELEMENTARY PARTICLE SOURCES;

EID: 84866162825     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2012.08.029     Document Type: Article

References (42)

1. Elimelech M., Gregory J., Williams R., Jia X. Particle Deposition & Aggregation: Measurement, Modelling and Simulation (Colloid & Surface Engineering) 1998, Butterworth-Heinemann, Oxford, UK.
2. Civan F. Reservoir Formation Damage - Fundamentals, Modeling, Assessment, and Mitigation 2000, Gulf Professional Publishing, Oxford, UK.
3. Yuan H., Shapiro A.A. Colloid transport and retention: recent advances in colloids filtration theory. Colloids: Classification, Properties and Applications 2012, NOVA Science Publisher, New York. P.C. Ray (Ed.).
4. Ryan J.N., Elimelech M. Colloid mobilization and transport in groundwater. Colloids Surf. A: Physicochem. Eng. Aspects 1996, 107:1-56.
5. Tufenkji N. Modeling microbial transport in porous media: traditional approaches and recent developments. Adv. Water Resour. 2007, 30:1455-1469.
6. Khilar K.C., Fogler H.S. Migration of Fines in Porous Media (Theory and Applications of Transport in Porous Media) 1998, Springer, Dordrecht.
7. Hogg R., Healy T.W., Fuerstenau D.W. Mutual coagulation of colloidal dispersions. Trans. Faraday Soc. 1966, 62:1638-1651.
8. Bradford S.A., Bettahar M. Straining, attachment, and detachment of cryptosporidium oocysts in saturated porous media. J. Environ. Qual. 2005, 34:469-478.
9. Bradford S.A., Simunek J., Bettahar M., Tadassa Y.F., van Genuchten M.T., Yates S.R. Straining of colloids at textural interfaces. Water Resour. Res. 2005, 41:W10404.
10. Bradford S.A., Simunek J., Bettahar M., Van Genuchten M.T., Yates S.R. Modeling colloid attachment, straining, and exclusion in saturated porous media. Environ. Sci. Technol. 2003, 37:2242-2250.
11. Sirivithayapakorn S., Keller A. Transport of colloids in saturated porous media: a pore-scale observation of the size exclusion effect and colloid acceleration. Water Resour. Res. 2003, 39:1109.
12. Knox J.H., Scott H.P. Theoretical models for size-exclusion chromatography and calculation of pore size distribution from size-exclusion chromatography data. J. Chromatogr. A 1984, 316:311-332.
13. Rege S.D., Fogler H.S. Network model for straining dominated particle entrapment in porous media. Chem. Eng. Sci. 1987, 42:1553-1564.
14. Herzig J.P., Leclerc D.M., Goff P.L. Flow of suspensions through porous media-application to deep filtration. Ind. Eng. Chem. 1970, 62:8-35.
15. Santos A., Bedrikovetsky P. A stochastic model for particulate suspension flow in porous media. Transp. Porous Media 2006, 62:23-53.
16. Bedrikovetsky P. Upscaling of stochastic micro model for suspension transport in porous media. Transp. Porous Media 2008, 75:335-369.
17. Shapiro A., Bedrikovetsky P., Santos A., Medvedev O. A stochastic model for filtration of particulate suspensions with incomplete pore plugging. Transp. Porous Media 2007, 67:135-164.
18. Chalk P., Gooding N., Hutten S., You Z., Bedrikovetsky P. Pore size distribution from challenge coreflood testing by colloidal flow. Chem. Eng. Res. Des. 2012, 90:63-77.
19. Levine A.D., Tchobanoglous G., Asano T. Characterization of the size distribution of contaminants in wastewater: treatment and reuse implications. J. Water Pollut. Control Fed. 1985, 57:805-816.
20. Purchas D.B., Sutherland K. Handbook of Filter Media 2002, Elsevier Advanced Technology, Oxford. second ed.
21. Hunt A.G. Basic transport properties in natural porous media: continuum percolation theory and fractal model. Complexity 2005, 10:22-37.
22. Hunt A.G., Horton R., Selker J. Percolation Theory for Flow in Porous Media (Lecture Notes in Physics) 2005, Springer, New York.
23. Berkowitz B., Balberg I. Percolation approach to the problem of hydraulic conductivity in porous media. Transp. Porous Media 1992, 9:275-286.
24. Bedrikovetsky P. Mathematical Theory of Oil and Gas Recovery With Applications to ex-USSR Oil and Gas Fields (Petroleum Engineering and Development Studies) 1993, Kluwer Academic Publishers, London.
25. Ewing R.P., Gupta S.C. Percolation and permeability in partially structured networks. Water Resour. Res. 1993, 29:3179-3188.
26. G. Korvin, A Percolation Model for the Permeability of Kaolinite-Bearing Sandstones, in: Society of Petroleum Engineers, 1989.
27. Selyakov V.I., Kadet V. Percolation Models for Transport in Porous Media: with Applications to Reservoir Engineering (Theory and Applications of Transport in Porous Media) 1997, Springer, New York.
28. Helba A.A., Sahimi M., Scriven L.E., Davis H.T. Percolation theory of two-phase relative permeability. SPE Reserv. Eng. 1992, 7:123-132.
29. Rege S.D., Fogler H.S. A network model for deep bed filtration of solid particles and emulsion drops. AIChE J. 1988, 34:1761-1772.
30. Gregory J. The calculation of Hamaker constants. Adv. Colloid Interface Sci. 1970, 2:396-417.
31. Israelachvili J.N. Intermolecular and Surface Forces 2010, Academic Press, London.
32. Gregory J. Approximate expressions for retarded van der Waals interaction. J. Colloid Interface Sci. 1981, 83:138-145.
33. Yuan H., Shapiro A.A. A mathematical model for non-monotonic deposition profiles in deep bed filtration systems. Chem. Eng. J. 2011, 166:105-115.
34. Li X., Lin C.L., Miller J.D., Johnson W.P. Role of grain-to-grain contacts on profiles of retained colloids in porous media in the presence of an energy barrier to deposition. Environ. Sci. Technol. 2006, 40:3769-3774.
35. Li X., Zhang P., Lin C.L., Johnson W.P. Role of hydrodynamic drag on microsphere deposition and re-entrainment in porous media under unfavorable conditions. Environ. Sci. Technol. 2005, 39:4012-4020.
36. Mason G., Morrow N.R. Capillary behavior of a perfectly wetting liquid in irregular triangular tubes. J. Colloid Interface Sci. 1991, 141:262-274.
37. Patzek T.W., Silin D.B. Shape factor and hydraulic conductance in noncircular capillaries: I. One-phase creeping flow. J. Colloids Interface Sci. 2001, 236:295-304.
38. Kirkpatrick S. Percolation and conduction. Rev. Mod. Phys. 1973, 45:574-588.
39. Reyes S., Jensen K.F. Estimation of effective transport coefficients in porous solids based on percolation concepts. Chem. Eng. Sci. 1985, 40:1723-1734.
40. Van Genuchten M.T. Analytical solutions for chemical transport with simultaneous adsorption, zero-order production and first-order decay. J. Hydrol. 1981, 49:213-233.
41. V.I. Seljakov, V.V. Kadet, Percolation Models in Porous, Media, 1996.
42. Larson R.G., Davis H.T. Conducting backbone in percolating Bethe lattices. J. Phys. C: Solid State Phys. 1982, 15:2327.