Upscaling of stochastic micro model for suspension transport in porous media

Transport in Porous Media

Volumn 75, Issue 3, 2008, Pages 335-369

  Bedrikovetsky, P ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Accessibility; Averaging; Colloid; Porous media; Retention; Size distribution; Size exclusion; Stochastic model; Straining; Suspension; Transport; Upscaling

Indexed keywords

COLLOIDS; POROUS MATERIALS; STOCHASTIC MODELS; SUSPENSIONS (COMPONENTS); SUSPENSIONS (FLUIDS);

ACCESSIBILITY; AVERAGING; POROUS MEDIA; RETENTION; SIZE EXCLUSION; STRAINING; SUSPENSION; TRANSPORT; UPSCALING;

FILTRATION;

COLLOID; FILTRATION; MODELING; POROUS MEDIUM; STOCHASTICITY; UPSCALING;

EID: 55149092227     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-008-9228-6     Document Type: Article

References (63)

1. Al-Abduwani, F.: Internal filtration and external filter cake build-up in sandstones. PhD thesis, Delft University of Technology, The Netherlands (2005)
2. Al-Abduwani, F.A.H., de Zwart, Bert-Rik, Farajzadeh, R., van den Broek, W.M.G.T., Currie, P.K.: Utilising static filtration experiments to test existing filtration theories for conformance. 2nd Produced water workshop. Aberdeen, UK, 21st-22nd April (2004)
3. Altoe, J.E., Bedrikovetsky, P.G., Siqueira, A.G., de Souza, A.L., Shecaira, F.: Correction of basic equations for deep bed filtration with dispersion. J. Pet. Sci. Eng. 51, 68-84 (2006)
4. Alvarez, A.C., Bedrikovetsky, P., Hime, G., Marchesin, D., Rodríguez, J.R.: A fast inverse solver for the filtration function for flow of water with particles in porous media. J. Inverse Probl. 22, 69-88 (2006)
5. Barenblatt, G.I., Entov, V.M., Ryzhik, V.M.: Theory of Fluid Flows Through Natural Rocks. Kluwer Academic Publishers, London (1991)
6. Bartelds, G.A., Bruining, J., Molenaar, J.: The modeling of velocity enhancement in polymer flooding. Transp. Porous Med. 26, 75-88 (1997)
7. Baygents, J.C., Glynn, G.R., Albinger, O., Biesemeier, B.K., Ogden, K.L., Arnold, R.G.: Variation of surface charge density in monoclonal bacterial populations: Implications for transport through porous media. Environ. Sci. Technol. 32, 1596-1603 (1998)
8. Bedrikovetsky, P.G.: Mathematical Theory of Oil & Gas Recovery (With Applications to Ex-USSR Oil & Gas Condensate Fields), pp. 600. Kluwer Academic Publishers, London (1993)
9. Bedrikovetsky, P.G.: W A G displacements of oil-condensates accounting for hydrocarbon ganglia. J. Transp. Porous Med. 52 (2), 229-266 (2003)
10. Bolster, C.H., Hornberger, G.M., Mills, A.L.: A method for calculating bacterial deposition coefficients using the fraction of bacteria recovered from laboratory columns. Environ. Sci. Technol. 32, 1329-1332 (1998)
11. Bolster, C.H., Mills, A.L., Hornberger, G.M., Herman, J.S.: Spatial distribution of bacteria experiments in intact cores. Water Resour. Res. 35, 1797-1807 (1999)
12. Bradford, S.A, Bettahar, M.: Concentration dependent transport of colloids in saturated porous media. J. Contamin. Hydrol. 82, 99-117 (2006)
13. Bradford, S.A., Yates, S.R., Bettahar, M., Simunek, J.: Physical factors affecting the transport and fate of colloids in saturated porous media. Water Resour. Res. 38 (12), 1327 (2002)
14. Bradford, S.A., Simunek, J., Bettahar, M., Van Genuchten, M.Th., Yates, S.R.: Modeling colloid attachment, straining, and exclusion in saturated porous media. Environ. Sci. Technol. 37, 2242-2250 (2003)
15. Bradford, S.A, Bettahar, M, Simunek, J., Van Genuchten, M.Th.: Straining and attachment of colloids in physically heterogeneous porous media. Vadose Zone J. 3, 384-394 (2004)
16. Camesano, T.A., Unice, K.M., Logan, B.E.: Blocking and ripening of colloids in porous media and their implications for bacterial transport, Colloids Surf. A Physicochem. Eng. Aspects, Dec (1999)
17. Chauveteau, G., Nabzar, L., Coste, J.-P.: Physics and modeling of permeability damage induced by particle deposition, SPE paper 39463, Institut Francais du Petrole, France (1998)
18. Chen, S.C., Lee, E.K.C., Chang, Y.I.: Effect of the co-ordination number of the pore network on the transport ans deposition of particles in porous media. Sep. Purif. Technol. 30, 11-26 (2003)
19. Civan, F.: Reservoir Formation Damage (Fundamentals, Modeling, Assessment, and Mitigation), 2nd edn. Gulf Professional Publishing (2006)
20. Corapcioglu, M.Y., Choi, H.: Modeling colloid transport in unsaturated porous media and validation with laboratory column data. Water Resour. Res. 32, 3437-3449 (1996)
21. da Silva, M.F., Bedrikovetsky, P., Van den Broek, W.M.G.T. D., Siqueira, A., de Souza, A.L.: A new method for injectivity impairment characterization from well and coreflood data. SPE paper 89885 presented at the 2004 SPE annual technical conference and exhibition to be held 260-29 September, Houston, TX (2004)
22. Dawson, R., Lantz, R.B.: Inaccessible pore volume in polymer flooding. Soc. Pet. Eng. J. 448-452 (1972)
23. Derjagin, B.V., Landau, L.D.: Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochim. URSS 14 (6), 633-662 (1941)
24. Dullien, F.A.L.: Porous Media: Fluid Transport and Pore Structure. Academic Press INC, NY (1992)
25. Elimelech, M., Gregory, J., Jia, X., Williams, R.A.: Particle Deposition & Aggregation: Measurement, Modelling, and Simulation. Butterworth-Heinemann, Oxford (1995)
26. Fogler, S.: Chemical Reactions Engineering. Prentice Hall, New York City (1998)
27. Foppen, J.W.A., Schijven, J.F.: Evaluation of data from the literature on the transport and survival of Escherichia coli and thermotolerant coliforms in aquifers under saturated conditions. Water Res. 40, 401-426 (2006)
28. Foppen, J.W.A., Mporokoso, A., Schijven, J.F.: Determining straining of Escherichia coli from breakthrough curves. J. Contamin. Hydrol. 76, 191-210 (2005)
29. Harvey, R.W., Garabedian, S.P.: Use of colloid filtration theory in modeling movement of bacteria through a contaminated sandy aquifer. Environ. Sci. Technol. 25, 178-185 (1991)
30. Herzig, J.P., Leclerc, D.M., le Goff, P.: Flow of suspensions through porous media - application to deep filtration. Ind. Eng. Chem. 62 (8), 8-35 (1970)
31. Holleben, C.R., Bedrikovetsky, P.G., Barbosa, L.S.: Huff-n-puff technologies for water production control: Analytical reservoir modelling, SPE paper 38986 presented at V Latin American and Caribbean Petroleum Engineering Conference, 31 Aug-3 Sept, Rio de Janeiro, Brazil (1997)
32. Kechagia, P., Tsimpanogiannis, I., Yortsos, Y., Lichtner, P.: On the upscaling of reaction-transport processes in porous media with fast or finite kinetics. J. Chem. Eng. Sci. 57 (13), 2565-2577 (2002)
33. Khilar, K., Fogler, S.: Migration of Fines in Porous Media. Kluwer Academic Publishers, Dordrecht (1998)
34. Kretzschmar, R., Barmettler, K. et al.: Experimental determination of colloid deposition rates and collision efficiencies in natural porous media. Water Resour. Res. 33, 1129 (1997)
35. Kuhnen, F., Barmettler, K., Bhattacharjee, S., Elimelech, M., Kretzschmar, R.: Transport of iron oxide colloids in packed quartz sand media: Monolayer and multilayer deposition. J. Colloid Interface Sci. 231, 32-41 (2000)
36. Lake, L.W.: Enhanced Oil Recovery. Prentice Hall, Englewood Cliffs, NY (1989)
37. Landau, L.D., Lifshitz, E.M.: Statistical Physics, Part 1 (Course in Theoretical Physics, V.5), 3rd edn. Pergamon Press, Oxford (1980)
38. Landau, L.D., Lifshitz, E.M.: Physical Kinetics (Course on Theoretical Physics, v.10), 2nd edn. Butterworth-Heinemann Ltd, Oxford (1999)
39. Larson, R.D., Scriven, L.E., Davis, H.T.: Percolation theory of two phase flow in porous media. Chem. Eng. Sci. 36 (1), 57-73 (1981)
40. Logan, D.J.: Transport Modeling in Hydrogeochemical Systems, Springer (2001)
41. Mays, D., Hunt, J.R.: Hydrodynamic aspects of particle clogging in porous media. J. Environ. Sci. Technol. 39, 577-584 (2005)
42. Marchesin, D. et al.: Summary: Injectivity Loss due to Cake Build-Up and Formation Damage under Injection of Water with Solid Particles-Formulation in Core Samples and wells, Preprint. Institute of Pure and Applied Mathematics IMPA, Rio de Janeiro, Brazil (2002)
43. Massei, N., Lacroix, M., Wang, H.Q., Dupont, J.: Transport of particulate material and dissolved tracer in a highly permeable porous medium: Comparison of the transfer parameters. J. Contamin. Hydrol. 57, 21-39 (2002)
44. Pang, S., Sharma, M.M.: A model for predicting injectivity decline in water injection wells. SPE paper 28489 presented at 69th annual technical conference and exhibition held in New Orleans, LA, 25-28 September (1994)
45. Payatakes, A.C. et al.: Application of porous medium models to the study of deep bed filtration. Can. J. Chem. Eng. 52, 727 (1974)
46. Roque, C., Chauveteau, G., Thibault, G., Bouteca, M.: Mechanisms of formation damage by retention of particles suspended in injection water. SPE paper 30110, European formation damage conference, The Hague (1995)
47. Sahimi, M., Imdakm, A.O.: Hydrodynamics of particulate motion in porous media. Phys. Rev. Lett. 66 (12), 1169-1172 (1991)
48. Santos, A., Bedrikovetsky, P.G.: A stochastic model for particulate suspension flow in porous media. J. Transp. Porous Med. (13), 30-52 (2006)
49. Seljakov, V.I., Kadet, V.V.: Percolation Models in Porous Media. Kluwer Academic, Dordrecht (1996)
50. Simoni, S.F., Harms, H., Bosma, T.N.P., Zehnder, A.J.B.: Population heterogeneity affects transport of bacteria through sand columns at low flow rates. Environ. Sci. Technol. 32, 2100-2105 (1998)
51. Siqueira, A.G., Bonet, E., Shecaira, F.S.: Network modelling for transport of water with particles in porous media. SPE paper 18257 presented at the SPE Latin American and Caribbean petroleum engineering conference held in Port-of-Spain, Trinidad, West Indies, 27-30 April (2003)
52. Shapiro, A.A., Bedrikovetsky, P.G., Santos, A., Medvedev, O.O.: A stochastic model for filtration of particulate suspensions with incomplete pore plugging. J. Transp. Porous Med. 67 (1), 135-164 (2007)
53. Sharma, M.M., Yortsos, Y.C.: Transport of particulate suspensions in porous media: Model formulation. AIChE J. 33 (13), 1636 (1987a)
54. Sharma, M.M., Yortsos, Y.C.: A network model for deep bed filtration processes. AIChE J. 33 (13), 1644-1653 (1987b)
55. Sharma, M.M., Yortsos, Y.C.: Fines migration in porous media. AIChE J. 33 (13), 1654-1662 (1987c)
56. Soo, H., Williams, M.C., Radke, C.J.: A filtration model for flow of dilute, stable emulsions in porous media - 2. Parameter evaluation and estimation. Chem Eng Sci. 41 (2), 261-272 (1986)
57. Tikhonov, A.N., Samarskii, A.A.: Equations of Mathematical Physics. Dover, New York (1990)
58. Tufenkji, N., Elimelech, M.: Deviation from classical colloid filtration theory in the presence of repulsive DLVO interactions. Langmuir 20, 10818-10828 (2004)
59. Tufenkji, N., Elimelech, M.: Breakdown of colloid filtration theory: role of the secondary energy minimum and surface charge heterogeneities. Langmuir 21, 841-852 (2005)
60. Tufenkji, N., Redman, J.A., Elimelech, M.: Interpreting deposition patterns of microbial particles in laboratory-scale column experiments. Environ. Sci. Technol. 37, 616-623 (2003)
61. van Oort, E., van Velzen, J.F.G., Leerlooijer, K.: Impairment by suspended solids invasion: Testing and prediction. J. SPE Prod. Facil. 8 (3), 178-184 (1993)
62. Veerapen, J.P., Nicot, B., Chauveteau, G.A.: In-depth permeability damage by particle deposition at high flow rates. SPE paper 68962 presented at presented at the SPE European formation damage conference to be held in The Hague, The Netherlands 21-22 May (2001)
63. Yortsos, Y.C.: Reaction and transport in porous media. In: Lecture Notes on Modeling and Application of Transport Phenomena in Porous Media. Von Karman Institute, Brussels, Belgium (February 5-9) (1990)