Upscaling of transport processes in porous media with biofilms in non-equilibrium conditions

Advances in Water Resources

Volumn 33, Issue 5, 2010, Pages 585-600

  Orgogozo, Laurent ^a   Golfier, Fabrice ^a   Buès, Michel ^a   Quintard, Michel ^b  

^a CRPG CNRS   (France)

^b IMFT   (France)

Author keywords

Biodegradation; Biofilm; Non equilibrium; Porous media; Reactive transport; Upscaling

Indexed keywords

BACTERIAL POPULATION; EXTRA-CELLULAR POLYMERIC SUBSTANCES; FLUID-PHASE; HYDRODYNAMIC CONDITIONS; MACRO SCALE; MASS BALANCE MODEL; MASS TRANSPORT; MEDIATED REACTIONS; MICROBIAL BIOMASS; NON EQUILIBRIUM; NONEQUILIBRIUM CONDITIONS; NONEQUILIBRIUM TRANSPORT; ONE-EQUATION MODEL; PORE WALL; POROUS MEDIA; REACTIVE TRANSPORT; SATURATED POROUS MEDIUM; SCALE MODELS; SOLID-FLUID INTERFACES; SPATIAL CONCENTRATION; TRANSPORT MODELS; TRANSPORT PROCESS; UPSCALING; VOLUME-AVERAGING;

BIODEGRADATION; BIOFILMS; BIOFILTERS; COMPUTER SIMULATION; DEGRADATION; MASS TRANSFER; MICROBIOLOGY; PHASE INTERFACES; POROUS MATERIALS; REACTION KINETICS;

TRANSPORT PROPERTIES;

BIODEGRADATION; BIOFILM; COMPUTER SIMULATION; DARCY LAW; MODEL VALIDATION; NUMERICAL MODEL; POROUS MEDIUM; REACTIVE TRANSPORT; TRANSPORT PROCESS; UPSCALING;

BACTERIA (MICROORGANISMS);

EID: 77952889312     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2010.03.004     Document Type: Article

References (61)

1. Ahmadi A., Quintard M., Whitaker S. Transport in chemically and mechanically heterogeneous porous media V: two-equation model for solute transport with adsorption. Adv Water Res 1998, 22:59-86.
2. Atkinson B., Davies I.J. The overall rate of substrate uptake (reaction) by microbial films I: biological rate equation. Trans Inst Chem Eng 1974, 52:248-259.
3. Baker K.H., Herson D.S. In situ bioremediation of contaminated aquifers and subsurface soils. Geomicrobiol J 1990, 8:133-146.
4. Baveye P., Valocchi A. An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers. Water Resour Res 1989, 25(6):1413-1421.
5. Bibby R. Mass transport of solutes in dual-porosity media. Water Resour Res 1981, 17(4):1075-1081.
6. Blanch H.W., Clark D.S. Biochemical Engineering 1996, Marcel Dekker Ltd.
7. Charbonneau A., Novakowski K., Ross N. The effect of a biofilm on solute diffusion in fractured porous media. J Contam Hydrol 2006, 85(3-4):212-228.
8. Cherblanc F., Ahmadi A., Quintard M. Two-domain description of solute transport in heterogeneous porous media: comparison between theoretical predictions and numerical experiments. Adv Water Res 2007, 30:1127-1143.
9. Cole A.C., Semmens M.J., LaPara T.M. Stratification of activity and bacterial community structure in biofilms grown on membranes transferring oxygen. Appl Environ Microbiol 2004, 70(4):1982-1989.
10. Farhadian M., Vachelard C., Duchez D., Larroche C. In situ bioremediation of monoaromatic pollutants in groundwater: a review. Bioresour Technol 2008, 99:5296-5308.
11. Fogler H.S. Elements of Chemical Reaction Engineering 1999, Prentice Hall. 3rd edition.
12. Gapes D.J., Keller J. Impact of oxygen mass transfer on nitrification reactions in suspended carrier reactors biofilms. Process Biochem 2009, 44:43-53.
13. Glowinski R. Numerical methods for Nonlinear Variational Problems 1984, Springer Verlag, New York, NY, USA.
14. [14] F. Golfier, Dissolution des roches carbonatées par injection d'acide, PhD thesis, Institut National Polytechnique de Toulouse, 2001.
15. Golfier F., Zarcone C., Bazin B., Lenormand R., Lasseux D., Quintard M. On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium. J Fluid Mech 2002, 457:213-254.
16. Golfier F., Quintard M., Whitaker S. Heat and mass transfer in tubes: an analysis using the method of volume averaging. J Porous Media 2002, 5:169-185.
17. Golfier F., Quintard M., Cherblanc F., Zinn B., Wood B. Comparison of theory and experiment for solute transport in highly heterogeneous porous medium. Adv Water Res 2007, 30:2235-2261.
18. Golfier F., Wood B., Orgogozo L., Quintard M., Buès M.A. Biofilms in Porous Media: Development of Macroscopic Transport Equations via Volume Averaging with Closure for Local Mass Equilibrium Conditions. Adv Water Res 2009, 32(3):463-485.
19. Gray W.G., Leijnse A., Kolar R.L., Blain C.A. Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems 1993, CRC Press, Boca Raton, FL.
20. Horn H., Hempel D.C. Growth and decay in an auto-/heterotrophic biofilm. Water Res 1997, 31(9):2243-2252.
21. Howes F.A., Whitaker S. The spatial averaging theorem revisited. Chem Eng Sci 1985, 40:1387-1392.
22. Hunt J.R., Holden P.A., Firestone M.K. Coupling transport and biodegradation of VOCs in surface and subsurface soils. Environ Health Perspect 1995, 103(5):75-78.
23. Jakob M. Heat Transfer 1949, John Wiley & Sons, Inc., New York.
24. Jennings P.A., Snoeyink V.L., Chian E.S.K. Theoretical model for a submerged biological filter. Biotechnol Bioeng 1976, 18:1249-1273.
25. Kechagia P.E., Tsimpanogiannis I.N., Yortsoso Y.C., Lischtner P.C. On the upscaling of reaction-transport processes in porous media with fast or finite kinetics. Chem Eng Sci 2001, 57:2565-2577.
26. Kindred J.S., Celia M.A. Contaminant transport and biodegradation, 2, Conceptual model and test simulations. Water Resour Res 1989, 25(6):1149-1159.
27. 2) on the overall reaction rate. Appl Microbiol Biotechnol 1992, 37:277-279.
28. Löffler F.E., Edwards E.A. Harnessing microbial activities for environmental cleanup. Curr Opin Biotechnol 2006, 17:274-284.
29. Maier W.J., Behn V.C., Gates C.D. Simulation of the trickling filter process. J. Sanit. Eng. Divn. ASCE 1967, 93:91-112.
30. Megee R.D., Kinoshita S., Fredrickson A.G., Tsuchiya H.M. Differentiation and product formation in molds. Biotechnol Bioeng 1970, 12:771-801.
31. Mulder H., Breure A.M., Rulkens W.H. Prediction of complete bioremediation periods for PAH soil pollutants in different physical states by mechanistic models. Chemosphere 2001, 43(8):1085-1094.
32. National Research Council In situ bioremediation: When does it work? 1993, National Academy Press, Washington DC.
33. Ochoa-Tapia J.A., Stroeve P., Whitaker S. Diffusive transport in two-phase media: Spatially periodic models and Maxwell's theory for isotropic and anisotropic systems. Chem Eng Sci 1994, 49:709-726.
34. Picioreanu C., Van Loosdrecht M.C.M., Heijnen J.J. Effect of diffusive and convective substrate transport on biofilm structure formation: a two-dimensional modeling study. Biotechnol Bioeng 2000, 69(5):504-515.
35. Pierre C., Plouraboué F., Quintard M. Convergence of generalized volume averaging method on a convection-diffusion problem: a spectral perspective, SIAM. J App Math 2006, 66(1):122-152.
36. Quintard M., Whitaker S. One- and two-equation models for transient diffusion processes in two-phase system. Adv Heat Transfer 1993, 23:369-465.
37. Quintard M. Diffusion in isotropic and anisotropic porous systems. Transp Porous Media 1993, 11:187-199.
38. Quintard M., Whitaker S. Convection, dispersion, and interfacial transport of contaminants: homogeneous porous media. Adv Water Res 1994, 17:221-239.
39. Quintard M., Kaviany M., Whitaker S. Two-medium treatment of heat transfer in porous media: Numerical results for effective properties. Adv Water Res 1997, 20:77-94.
40. Rao P.S.C., Rolston D.E., Jessup R.E., Davidson J.M. Solute transport in aggregated porous media: Theoretical and experimental evaluation. Soil Sci Am J 1980, 44(6):1139-1146.
41. P. Rasetarinera, Etude Mathématique et Numérique de la Restauration Biologique En Milieu Poreux, PhD thesis, Université de Bordeaux 1, 1995.
42. Ritter W.F., Scarborough R.W. A review of bioremediation of contaminated soils and groundwater. J Environ Sci Health Part A Environ Sci Eng Toxic Hazard Subst Control 1995, 30:333-357.
43. Rittmann B.E., McCarty P.L. Substrate flux into biofilms of any thickness. J Environ Eng 1981, 107:831-849.
44. Roberts M.E., Stewart P.S. Modelling protection from antimicrobial agents in biofilms through the formation of persister cells. Microbiol 2005, 151:75-80.
45. Roling W.F.M., van Verseveld H.W. Natural attenuation: what does the subsurface have in store?. Biodegradation 2002, 13:53-64.
46. Stewart P.S., McFeters G.A., Huang C.T. Biofilm control by antimicrobial agents. Biofilms II: Process analysis and applications 2000, 373-405. Wiley-Liss, New York. J.D. Bryers (Ed.).
47. Sturman P.J., Stewart P.S., Cunningham A.B., Bouwer E.J., Wolfram J.H. Engineering scale-up of in-situ bioremediation processes - a review. J Contam Hydrol 1995, 19:171-203.
48. Taylor G.I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc Royal Soc A 1953, 219:186-203.
49. Van der Vorst H. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM. J Sci Statist Comput 1992, 13:631-644.
50. Vayenas D.V., Lyberatos G. On the design of nitrifying trickling filters for potable water treatment. Water Resour 1995, 29(4):1079-1084.
51. Vayenas D.V., Pavlou S., Lyberatos G. Development of a dynamic model describing nitrification and nitratification in trickling filters. Water Resour 1997, 31(5):1135-1147.
52. Wall J.D., Krumholz L.R. Uranium reduction. Annu Rev Microbiol 2006, 60:149-166.
53. Weiss J.V., Cozzarelli I.M. Biodegradation in contaminated aquifers: incorporating microbial/molecular methods. Ground Water 2008, 46:305-322.
54. Whitaker S. Introduction to fluid mechanics 1981, R.E. Krieger, Malabar, FL, USA.
55. Whitaker S. The method of volume averaging 1999, Kluwer Academic Publishers, Dordrecht.
56. Wolfrum E.J., Watt A.S. Bioreactor design studies for a hydrogen-producing bacterium. Appl Biochem Biotechnol 2002, 98-100:611-625.
57. Wood B.D., Whitaker S. Diffusion and reaction in biofilms. Chem Eng Sci 1998, 53(3):397-425.
58. Wood B.D., Whitaker S. Cellular growth in biofilms. Biotechnol Bioeng 1999, 64:656-670.
59. Wood B.D., Whitaker S. Multi-species diffusion and reaction in biofilms and cellular media. Chem Eng Sci 2000, 55:3397-3418.
60. Wood B.D., Quintard M., Whitaker S. Calculation of effective diffusivities for biofilms and tissues. Biotechnol Bioeng 2002, 77(5):495-516.
61. Wood B.D. The role of scaling laws in upscaling. Adv Water Resour 2009, 32(5):723-736.