An upscaled model for biofilm growth in a thin strip

Water Resources Research

Volumn 46, Issue 6, 2010, Pages

  Van Noorden, T L ^a   Pop, I S ^a   Ebigbo, A ^b   Helmig, R ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIOFILM GROWTH; BIOMASS ACCUMULATION; FLUID FLOW; LOCAL GEOMETRY; PORE VOLUME; PORE-SCALE MODEL; POROUS MEDIUM; SCALE MODELS; THIN STRIPS;

BIOFILMS; POROUS MATERIALS; STRIP METAL;

FLOW OF FLUIDS;

BIOFILM; BIOMASS; FLUID FLOW; GEOMETRY; GROWTH MODELING; ONE-DIMENSIONAL MODELING; POROSITY; POROUS MEDIUM; VOLUME;

EID: 77953684046     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR008217     Document Type: Article

References (33)

1. Alpkvist, E., C. Picioreanu, M. C. M. van Loosdrecht, and A. Heyden (2006), Three-dimensional biofilm model with individual cells and continuum eps matrix, Biotechnol. Bioeng., 94(5), 962-979.
2. Chen-Charpentier, B. (1999), Numerical simulation of biofilm growth in porous media, J. Comput. Appl. Math., 103, 55-66.
3. Costerton, J. W., G. G. Geesey, and K. J. Cheng (1978), How bacteria stick, Sci. Am., 238(1), 86-95.
4. Cunningham, A., W. Characklis, F. Abedeen, and D. Crawford (1991), Influence of biofilm accumulation on porous media hydrodynamics, Environ. Sci. Technol., 25, 1305-1311.
5. Dockery, J., and I. Klapper (2002), Finger formation in biofilm layers, SIAM J. Appl. Math., 62(3), 853-869.
6. Dykaar, B., and P. Kitanidis (1996), Macrotransport of a biologically reacting solute through porous media, Water Resour. Res., 32, 307-320.
7. Golfier, F., B. Wood, L. Orgogozo, M. Quintard, and M. Buès (2009), Bio-films in porous media: Development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions, Adv. Water Res., 32, 463-485.
8. Ham, Y., S. Kim, and S. Park (2007), Numerical experiments for bioclog-ging in porous media, Environ. Technol., 28, 1079-1089.
9. Hornberger, G., A. Mills, and J. Herman (1992), Bacterial transport in porous media: Evaluation of a model using laboratory experiments, Water Resour. Res., 28, 915-938.
10. Kapellos, G., T. Alexiou, and A. Payatakes (2007), Hierarchical simulator of biofilm growth and dynamics in granular porous materials, Adv. Water Res., 30, 1648-1667.
11. Knutson, C. E., C. J. Werth, and A. J. Valocchi (2005), Pore-scale simulation of biomass growth along the transverse mixing zone of a model two-dimensional porous medium, Water Resour. Res., 41, W07007, doi:10.1029/2004WR003459. (Pubitemid 41197290)
12. MacDonald, T. R., P. K. Kitanidis, P. L. McCarty, and P. V. Roberts (1999), Effects of shear detachment on biomass growth and in situ bio-remediation, Ground Water, 37, 555-563.
13. Mikelic, A., V. Devigne, and C. J. van Duijn (2006), Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers, SIAM J. Math. Anal., 38(4), 1262-1287.
14. Mostafa, M., and P. van Geel (2007), Conceptual models and simulations for biological clogging in unsaturated soils, Vadoze Zone J., 6, 175-185.
15. Murphy, E. M., and T. R. Ginn (2000), Modeling microbial processes in porous media, Hydrogeol. J., 8, 142-158.
16. Raoof, A., and S. Hassanizadeh (2010), Upscaling transport of adsorbing solutes in porous media, J. Porous Media, in press.
17. Rittmann, B. E. (1993), The significance of biofilms in porous media, Water Resour. Res., 29, 195-202.
18. Rockhold, M., R. Yarwood, M. Niemet, P. Bottomley, and J. Selker (2002), Considerations for modeling bacterial-induced changes in hydraulic properties of variably saturated porous media, Adv. Water Res., 25, 477-495.
19. Sen, R. (2008), Biotechnology in petroleum recovery: The microbial EOR, Prog. Energy Combust. Sci., 34, 714-724.
20. Suchomel, B., B. Chen, and M. Allen (1998), Macroscale properties of porous media from a network model of biofilm processes, Transp. Porous Media, 31, 39-66.
21. Taylor, S. W., and P. R. Jaffé (1990), Substrate and biomass transport in a porous medium, Water Resour. Res., 26, 2181-2194.
22. Thullner, M., and P. Baveye (2008), Computational pore network modeling of the influence of biofilm permeability on bioclogging in porous media, Biotechnol. Bioeng., 99, 1337-1351.
23. Thullner, M., J. Zeyer, and W. Kinzelbach (2002), Influence of microbial growth on hydraulic properties of pore networks, Transp. Porous Media, 49, 99-122.
24. Thullner, M., M. Schroth, J. Zeyer, and W. Kinzelbach (2004), Modeling of a microbial growth experiment with bioclogging in a two-dimensional saturated porous media flow field, J. Contam. Hydrol., 70, 37-62.
25. van Duijn, C. J., and I. S. Pop (2004), Crystal dissolution and precipitation in porous media: Pore scale analysis, J. Reine Angew. Math., 577, 171-211.
26. van Duijn, C., A. Mikelic, I. S. Pop, and C. Rosier (2008), Effective dispersion equations for reactive flows with dominant Peclet and Damköhler numbers, Adv. Chem. Eng., 34, 1-45.
27. van Loosdrecht, M., J. Heijnen, H. Eberl, J. Kreft, and C. Picioreanu (2002), Mathematical modelling of biofilm structures, Antonie van Leeuwenhoek, 81, 245-256.
28. van Noorden, T. L. (2009a), Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments, Multiscale Model. Simul., 7(3), 1220-1236.
29. van Noorden, T. L. (2009b), Crystal precipitation and dissolution in a thin strip, Eur. J. Appl. Math., 20, 69-91.
30. van Noorden, T. L., and I. S. Pop (2008), A Stefan problem modelling dissolution and precipitation, IMA J. Appl. Math., 73, 393-411.
31. Waddill, D., and M. Widdowson (1998), Three-dimensional model for subsurface transport and biodegradation, J. Environ. Eng., 124, 336-344. (Pubitemid 28344307)
32. Weller, F. (2008), Modeling, analysis, and simulation of thrombosis and hemostasis, Ph.D. thesis, Inst. fuer Angew. Math., Univ. Heidelberg, Heidelberg, Germany.
33. Wood, B., and R. Ford (2007), Biological processes in porous media: From the pore scale to the field, Adv. Water Res., 30, 1387-1391.