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Volumn 32, Issue 3, 2009, Pages 463-485

Biofilms in porous media: Development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions

Author keywords

Averaging; Biofilm; Dispersion; Homogenization; Local mass equilibrium

Indexed keywords

BIOFILMS; MASS TRANSFER; POROUS MATERIALS;

EID: 61449101352     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.11.012     Document Type: Article
Times cited : (68)

References (81)
  • 1
    • 0030212515 scopus 로고    scopus 로고
    • Large-scale properties for two-phase flow in random porous media
    • Ahmadi A., and Quintard M. Large-scale properties for two-phase flow in random porous media. J Hydrol 183 1-2 (1996) 69-99
    • (1996) J Hydrol , vol.183 , Issue.1-2 , pp. 69-99
    • Ahmadi, A.1    Quintard, M.2
  • 2
    • 0034745409 scopus 로고    scopus 로고
    • Calculation of the effective properties describing active dispersion in porous media: from simple to complex unit cells
    • Ahmadi A., Aigueperse A., and Quintard M. Calculation of the effective properties describing active dispersion in porous media: from simple to complex unit cells. Adv Water Resour 24 (2001) 431-438
    • (2001) Adv Water Resour , vol.24 , pp. 431-438
    • Ahmadi, A.1    Aigueperse, A.2    Quintard, M.3
  • 3
    • 0002864183 scopus 로고
    • On the dispersion of a solute in a fluid flowing through a tube
    • Aris R. On the dispersion of a solute in a fluid flowing through a tube. Proc R Soc Lond A 235 (1956) 67-77
    • (1956) Proc R Soc Lond A , vol.235 , pp. 67-77
    • Aris, R.1
  • 4
    • 61449233726 scopus 로고    scopus 로고
    • Aspa Y, Debenest G, Quintard M. Effective dispersion in channeled biofilms. Int J Environ Waste Manage, in press.
    • Aspa Y, Debenest G, Quintard M. Effective dispersion in channeled biofilms. Int J Environ Waste Manage, in press.
  • 5
    • 0024785025 scopus 로고
    • An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers
    • Baveye P., and Valocchi A.J. An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers. Water Resour Res 25 6 (1989) 1413-1421
    • (1989) Water Resour Res , vol.25 , Issue.6 , pp. 1413-1421
    • Baveye, P.1    Valocchi, A.J.2
  • 6
    • 0022900916 scopus 로고
    • Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation. 1: Theoretical development
    • Borden R.C., and Bedient P.B. Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation. 1: Theoretical development. Water Resour Res 22 (1986) 1973-1982
    • (1986) Water Resour Res , vol.22 , pp. 1973-1982
    • Borden, R.C.1    Bedient, P.B.2
  • 7
    • 0022896543 scopus 로고
    • Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation. 2: Field application
    • Borden R.C., Bedient P.B., Lee M.D., Ward C.H., and Wilson J.T. Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation. 2: Field application. Water Resour Res 22 (1986) 1983-1990
    • (1986) Water Resour Res , vol.22 , pp. 1983-1990
    • Borden, R.C.1    Bedient, P.B.2    Lee, M.D.3    Ward, C.H.4    Wilson, J.T.5
  • 8
    • 0027101678 scopus 로고
    • Modeling transport and biodegradation of benzene and toluene in sandy aquifer material: comparison with experimental measurements
    • Chen Y.-M., Abriola L.M., Alvarez P.J.J., Anid P.J., and Vogel T.M. Modeling transport and biodegradation of benzene and toluene in sandy aquifer material: comparison with experimental measurements. Water Resour Res 28 (1992) 1833-1847
    • (1992) Water Resour Res , vol.28 , pp. 1833-1847
    • Chen, Y.-M.1    Abriola, L.M.2    Alvarez, P.J.J.3    Anid, P.J.4    Vogel, T.M.5
  • 9
    • 0026614775 scopus 로고
    • Generalized Taylor-Aris moment analysis of the transport of sorbing solutes through porous media with spatially-periodic retardation factor
    • Chrysikopoulos C.V., Kitanidis P.K., and Roberts P.V. Generalized Taylor-Aris moment analysis of the transport of sorbing solutes through porous media with spatially-periodic retardation factor. Trans Porous Media 7 2 (1992) 163-185
    • (1992) Trans Porous Media , vol.7 , Issue.2 , pp. 163-185
    • Chrysikopoulos, C.V.1    Kitanidis, P.K.2    Roberts, P.V.3
  • 10
    • 0033387278 scopus 로고    scopus 로고
    • Numerical simulation of biodegradation controlled by transverse mixing
    • Cirpka O.A., Frind E.O., and Helmig R. Numerical simulation of biodegradation controlled by transverse mixing. J Contam Hydrol 40 (1999) 159-182
    • (1999) J Contam Hydrol , vol.40 , pp. 159-182
    • Cirpka, O.A.1    Frind, E.O.2    Helmig, R.3
  • 11
    • 0021641594 scopus 로고
    • On the unifying concepts of scale, instrumentation, and stochastics in the development of multiphase transport theory
    • Cushman J.H. On the unifying concepts of scale, instrumentation, and stochastics in the development of multiphase transport theory. Water Resour Res 20 (1984) 1668-1676
    • (1984) Water Resour Res , vol.20 , pp. 1668-1676
    • Cushman, J.H.1
  • 13
    • 0027683759 scopus 로고
    • Nonlocal dispersion in media with continuously evolving scales of heterogeneity
    • Cushman J.H., and Ginn T.R. Nonlocal dispersion in media with continuously evolving scales of heterogeneity. Trans Porous Media 13 (1993) 123-138
    • (1993) Trans Porous Media , vol.13 , pp. 123-138
    • Cushman, J.H.1    Ginn, T.R.2
  • 14
    • 77957049668 scopus 로고    scopus 로고
    • Modeling subsurface biodegradation of non-aqueous phase liquids
    • Corapcioglu Y. (Ed), Elsevier, Amsterdam, The Netherlands
    • de Blanc P., McKinney D., and Speitel G. Modeling subsurface biodegradation of non-aqueous phase liquids. In: Corapcioglu Y. (Ed). Advances in porous media vol. 3 (1996), Elsevier, Amsterdam, The Netherlands 1-86
    • (1996) Advances in porous media , vol.3 , pp. 1-86
    • de Blanc, P.1    McKinney, D.2    Speitel, G.3
  • 15
    • 0029739273 scopus 로고    scopus 로고
    • Macrotransport of a biologically reacting solute through porous media
    • Dykaar B.B., and Kitanidis P.K. Macrotransport of a biologically reacting solute through porous media. Water Resour Res 32 2 (1996) 307-320
    • (1996) Water Resour Res , vol.32 , Issue.2 , pp. 307-320
    • Dykaar, B.B.1    Kitanidis, P.K.2
  • 16
    • 0000467002 scopus 로고    scopus 로고
    • Longitudinal dispersion by bodies fixed in a potential flow
    • Eames I., and Bush J.W.M. Longitudinal dispersion by bodies fixed in a potential flow. Proc R Soc Lond A 455 (1999) 3665-3686
    • (1999) Proc R Soc Lond A , vol.455 , pp. 3665-3686
    • Eames, I.1    Bush, J.W.M.2
  • 17
    • 0034351961 scopus 로고    scopus 로고
    • A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms
    • Eberl H.J., Picioreanu C., Heijnen J.J., and van Loosdrecht M.C.M. A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms. Chem Eng Sci 55 (2000) 6209-6222
    • (2000) Chem Eng Sci , vol.55 , pp. 6209-6222
    • Eberl, H.J.1    Picioreanu, C.2    Heijnen, J.J.3    van Loosdrecht, M.C.M.4
  • 20
    • 0037172090 scopus 로고    scopus 로고
    • Modelling of the dissolution in porous media at the Darcy-scale: on the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium
    • Golfier F., Zarcone C., Bazin B., Lenormand R., Lasseux D., and Quintard M. Modelling of the dissolution in porous media at the Darcy-scale: on the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium. J Fluid Mech 457 (2002) 213-254
    • (2002) J Fluid Mech , vol.457 , pp. 213-254
    • Golfier, F.1    Zarcone, C.2    Bazin, B.3    Lenormand, R.4    Lasseux, D.5    Quintard, M.6
  • 22
    • 0033746865 scopus 로고    scopus 로고
    • Oligonucleotide and water self-diffusion in systems of pluronic triblock copolymers and in buffer solutions by pulsed field gradient nuclear magnetic resonance
    • Hadden D.A., Rill R.L., McFaddan L., and Locke B.R. Oligonucleotide and water self-diffusion in systems of pluronic triblock copolymers and in buffer solutions by pulsed field gradient nuclear magnetic resonance. Macromolecules 33 11 (2000) 4235-4248
    • (2000) Macromolecules , vol.33 , Issue.11 , pp. 4235-4248
    • Hadden, D.A.1    Rill, R.L.2    McFaddan, L.3    Locke, B.R.4
  • 24
    • 0021938510 scopus 로고
    • The spatial averaging theorem revisited
    • Howes F.A., and Whitaker S. The spatial averaging theorem revisited. Chem Eng Sci 40 (1985) 1387-1392
    • (1985) Chem Eng Sci , vol.40 , pp. 1387-1392
    • Howes, F.A.1    Whitaker, S.2
  • 25
    • 0017592854 scopus 로고
    • Mathematical model of wood pyrolysis including internal forced convection
    • Kansa E., Perler H., and Chaiken R. Mathematical model of wood pyrolysis including internal forced convection. Combust Flame 29 (1977) 311-324
    • (1977) Combust Flame , vol.29 , pp. 311-324
    • Kansa, E.1    Perler, H.2    Chaiken, R.3
  • 26
    • 0031074953 scopus 로고    scopus 로고
    • The role of biofilm growth in bacteria-facilitated contaminant transport in porous media
    • Kim S., and Corapcioglu Y. The role of biofilm growth in bacteria-facilitated contaminant transport in porous media. Trans Porous Media 26 (1997) 161-181
    • (1997) Trans Porous Media , vol.26 , pp. 161-181
    • Kim, S.1    Corapcioglu, Y.2
  • 27
    • 0026295970 scopus 로고
    • Numerical modeling of natural and enhanced denitrification processes in aquifers
    • Kinzelbach W., Schäfer W., and Herzer J. Numerical modeling of natural and enhanced denitrification processes in aquifers. Water Resour Res 27 6 (1991) 1123-1135
    • (1991) Water Resour Res , vol.27 , Issue.6 , pp. 1123-1135
    • Kinzelbach, W.1    Schäfer, W.2    Herzer, J.3
  • 28
    • 34247092370 scopus 로고    scopus 로고
    • Comparison of continuum and pore-scale models of nutrient biodegradation under transverse mixing conditions
    • 10.1016/j.advwatres.2006.05.012
    • Knutson C., Valocchi A., and Werth C. Comparison of continuum and pore-scale models of nutrient biodegradation under transverse mixing conditions. Adv Water Resour 30 6-7 (2006) 1421-1431 10.1016/j.advwatres.2006.05.012
    • (2006) Adv Water Resour , vol.30 , Issue.6-7 , pp. 1421-1431
    • Knutson, C.1    Valocchi, A.2    Werth, C.3
  • 29
    • 2442584431 scopus 로고    scopus 로고
    • A macroscopic model for species transport during in vitro tissue growth obtained by the volume averaging method
    • Lasseux D., Ahmadi A., Cleis X., and Garnier J. A macroscopic model for species transport during in vitro tissue growth obtained by the volume averaging method. Chem Eng Sci 59 (2004) 1949-1964
    • (2004) Chem Eng Sci , vol.59 , pp. 1949-1964
    • Lasseux, D.1    Ahmadi, A.2    Cleis, X.3    Garnier, J.4
  • 30
    • 28244496460 scopus 로고    scopus 로고
    • NMR methods for in situ biofilm metabolism studies: spatial and temporal resolved measurements
    • Majors P.D., McLean J.S., Fredrickson J.K., and Wind R.A. NMR methods for in situ biofilm metabolism studies: spatial and temporal resolved measurements. Water Sci Technol 52 7 (2005) 7-12
    • (2005) Water Sci Technol , vol.52 , Issue.7 , pp. 7-12
    • Majors, P.D.1    McLean, J.S.2    Fredrickson, J.K.3    Wind, R.A.4
  • 33
    • 33645293724 scopus 로고    scopus 로고
    • Experimental and numerical study of steam gasification of a single charcoal particle
    • Mermoud F., Golfier F., Salvador S., and Van de Steene L. Experimental and numerical study of steam gasification of a single charcoal particle. Combust Flame 145 1-2 (2006) 59-79
    • (2006) Combust Flame , vol.145 , Issue.1-2 , pp. 59-79
    • Mermoud, F.1    Golfier, F.2    Salvador, S.3    Van de Steene, L.4
  • 34
    • 34547187521 scopus 로고    scopus 로고
    • Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers
    • Mikelic A., Devigne V., and Van Duijn C.J. Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers. SIAM J Math Anal 38 (2006) 1262-1287
    • (2006) SIAM J Math Anal , vol.38 , pp. 1262-1287
    • Mikelic, A.1    Devigne, V.2    Van Duijn, C.J.3
  • 35
    • 36349017773 scopus 로고    scopus 로고
    • Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore
    • Mikelic A., and Rosier C. Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. Ann Univ Ferrara 53 (2007) 333-359
    • (2007) Ann Univ Ferrara , vol.53 , pp. 333-359
    • Mikelic, A.1    Rosier, C.2
  • 36
    • 3343018910 scopus 로고    scopus 로고
    • Transport of hydrophobic pollutants through biofilms and biofilters
    • Miller M.A., and Allen D.G. Transport of hydrophobic pollutants through biofilms and biofilters. Chem Eng Sci 59 (2004) 3515-3525
    • (2004) Chem Eng Sci , vol.59 , pp. 3515-3525
    • Miller, M.A.1    Allen, D.G.2
  • 37
    • 40749112339 scopus 로고    scopus 로고
    • Diffusion and reaction in three-phase systems: average transport equations and jump boundary conditions
    • Morales-Zarate E., Valdes-Parada F.J., Goyeau B., and Ochoa-Tapia J.A. Diffusion and reaction in three-phase systems: average transport equations and jump boundary conditions. Chem Eng Sci 138 (2008) 307-322
    • (2008) Chem Eng Sci , vol.138 , pp. 307-322
    • Morales-Zarate, E.1    Valdes-Parada, F.J.2    Goyeau, B.3    Ochoa-Tapia, J.A.4
  • 38
    • 0001669799 scopus 로고    scopus 로고
    • Modeling microbial processes in porous media
    • Murphy E.M., and Ginn T.R. Modeling microbial processes in porous media. Hydrogeol J 8 (2000) 142-158
    • (2000) Hydrogeol J , vol.8 , pp. 142-158
    • Murphy, E.M.1    Ginn, T.R.2
  • 39
    • 0022880362 scopus 로고
    • Diffusion and reaction in cellular media
    • Ochoa J.A., Stroeve P., and Whitaker S. Diffusion and reaction in cellular media. Chem Eng Sci 41 (1986) 2999-3013
    • (1986) Chem Eng Sci , vol.41 , pp. 2999-3013
    • Ochoa, J.A.1    Stroeve, P.2    Whitaker, S.3
  • 40
    • 0028388983 scopus 로고
    • Diffusive transport in two-phase media: spatially periodic models and Maxwell's theory for isotropic and anisotropic systems
    • Ochoa-Tapia J.A., Stroeve P., and Whitaker S. Diffusive transport in two-phase media: spatially periodic models and Maxwell's theory for isotropic and anisotropic systems. Chem Eng Sci 49 (1994) 709-726
    • (1994) Chem Eng Sci , vol.49 , pp. 709-726
    • Ochoa-Tapia, J.A.1    Stroeve, P.2    Whitaker, S.3
  • 41
    • 0032485575 scopus 로고    scopus 로고
    • Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach
    • Picioreanu C., Van Loosdrecht M.C.M., and Heijnen J.J. Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach. Biotechnol Bioeng 58 1 (1998) 101-116
    • (1998) Biotechnol Bioeng , vol.58 , Issue.1 , pp. 101-116
    • Picioreanu, C.1    Van Loosdrecht, M.C.M.2    Heijnen, J.J.3
  • 42
    • 0034609601 scopus 로고    scopus 로고
    • Effect of diffusive and convective substrate transport on biofilm structure formation: a two-dimensional modeling study
    • Picioreanu C., Van Loosdrecht M.C.M., and Heijnen J.J. Effect of diffusive and convective substrate transport on biofilm structure formation: a two-dimensional modeling study. Biotechnol Bioeng 69 5 (2000) 504-515
    • (2000) Biotechnol Bioeng , vol.69 , Issue.5 , pp. 504-515
    • Picioreanu, C.1    Van Loosdrecht, M.C.M.2    Heijnen, J.J.3
  • 44
    • 2442545508 scopus 로고    scopus 로고
    • Non-equilibrium theories for macroscale heat transfer: ablative composite layer systems
    • Puiroux N., Prat M., and Quintard M. Non-equilibrium theories for macroscale heat transfer: ablative composite layer systems. Int J Therm Sci 43 6 (2004) 541-554
    • (2004) Int J Therm Sci , vol.43 , Issue.6 , pp. 541-554
    • Puiroux, N.1    Prat, M.2    Quintard, M.3
  • 45
    • 0027334348 scopus 로고
    • Diffusion in isotropic and anisotropic porous systems: three-dimensional calculations
    • Quintard M. Diffusion in isotropic and anisotropic porous systems: three-dimensional calculations. Trans Porous Media 11 (1993) 187-199
    • (1993) Trans Porous Media , vol.11 , pp. 187-199
    • Quintard, M.1
  • 46
    • 0027628337 scopus 로고
    • Transport in ordered and disordered porous media: volume-averaged equations, closure problems and comparison with experiment
    • Quintard M., and Whitaker S. Transport in ordered and disordered porous media: volume-averaged equations, closure problems and comparison with experiment. Chem Eng Sci 48 14 (1993) 2537-2564
    • (1993) Chem Eng Sci , vol.48 , Issue.14 , pp. 2537-2564
    • Quintard, M.1    Whitaker, S.2
  • 48
    • 0028669433 scopus 로고
    • Convection, dispersion, and interfacial transport of contaminants: homogeneous porous media
    • Quintard M., and Whitaker S. Convection, dispersion, and interfacial transport of contaminants: homogeneous porous media. Adv Water Resour 17 (1994) 221-239
    • (1994) Adv Water Resour , vol.17 , pp. 221-239
    • Quintard, M.1    Whitaker, S.2
  • 49
    • 0031127838 scopus 로고    scopus 로고
    • Two medium treatment of heat transfer in porous media: numerical results for effective properties
    • Quintard M., Kaviany M., and Whitaker S. Two medium treatment of heat transfer in porous media: numerical results for effective properties. Adv Water Resour 20 2-3 (1997) 77-94
    • (1997) Adv Water Resour , vol.20 , Issue.2-3 , pp. 77-94
    • Quintard, M.1    Kaviany, M.2    Whitaker, S.3
  • 50
    • 0000544643 scopus 로고
    • On the influence of obstacles arranged in rectangular order upon the properties of the medium
    • Rayleigh L.(J.W.S.). On the influence of obstacles arranged in rectangular order upon the properties of the medium. Philos Mag 34 (1892) 481-489
    • (1892) Philos Mag , vol.34 , pp. 481-489
    • Rayleigh L.(J.W.S.)1
  • 51
    • 0031260069 scopus 로고    scopus 로고
    • Calculating equivalent permeability: a review
    • Renard P., and de Marsily G. Calculating equivalent permeability: a review. Adv Water Resour 20 (1997) 253-278
    • (1997) Adv Water Resour , vol.20 , pp. 253-278
    • Renard, P.1    de Marsily, G.2
  • 52
    • 0027878541 scopus 로고
    • The significance of biofilms in porous media
    • Rittmann B.E. The significance of biofilms in porous media. Water Resour Res 29 7 (1993) 2195-2202
    • (1993) Water Resour Res , vol.29 , Issue.7 , pp. 2195-2202
    • Rittmann, B.E.1
  • 54
    • 0026152387 scopus 로고
    • Comparison between model simulations and field results for in situ biorestoration of chlorinated aliphatics. Part 1: Biostimulation of methanotrophic bacteria
    • Semprini L., and McCarty P.L. Comparison between model simulations and field results for in situ biorestoration of chlorinated aliphatics. Part 1: Biostimulation of methanotrophic bacteria. Ground Water 29 (1991) 365-374
    • (1991) Ground Water , vol.29 , pp. 365-374
    • Semprini, L.1    McCarty, P.L.2
  • 55
    • 34247170341 scopus 로고    scopus 로고
    • Magnetic resonance microscopy of biofouling induced scale dependent transport in porous media
    • Seymour J.D., Gage J.P., Codd S.L., and Gerlach R. Magnetic resonance microscopy of biofouling induced scale dependent transport in porous media. Adv Water Resour 30 (2007) 1408-1420
    • (2007) Adv Water Resour , vol.30 , pp. 1408-1420
    • Seymour, J.D.1    Gage, J.P.2    Codd, S.L.3    Gerlach, R.4
  • 56
    • 2442618022 scopus 로고    scopus 로고
    • Magnetic resonance microscopy of biofilm structure and impact on transport in a capillary bioreactor
    • Seymour J.D., Codd S.L., Gjersing E.L., and Stewart P.S. Magnetic resonance microscopy of biofilm structure and impact on transport in a capillary bioreactor. J Magn Reson 167 (2004) 322-327
    • (2004) J Magn Reson , vol.167 , pp. 322-327
    • Seymour, J.D.1    Codd, S.L.2    Gjersing, E.L.3    Stewart, P.S.4
  • 57
    • 57749101192 scopus 로고    scopus 로고
    • Biofilm affected characteristics of porous structures
    • 10.1016/j.ijheatmasstransfer.2008.07.013
    • Shafahi M., and Vafai K. Biofilm affected characteristics of porous structures. Int J Heat Mass Transfer (2008) 10.1016/j.ijheatmasstransfer.2008.07.013
    • (2008) Int J Heat Mass Transfer
    • Shafahi, M.1    Vafai, K.2
  • 58
    • 0025700418 scopus 로고
    • Effect of biofilm growth on steady-state biofilm models
    • Skowlund C.T. Effect of biofilm growth on steady-state biofilm models. Biotechnol Bioeng 35 5 (1990) 502-510
    • (1990) Biotechnol Bioeng , vol.35 , Issue.5 , pp. 502-510
    • Skowlund, C.T.1
  • 59
    • 0031464960 scopus 로고    scopus 로고
    • Dispersion in two-dimensional periodic porous media. Part II: Dispersion tensor
    • Souto H.P.A., and Moyne C. Dispersion in two-dimensional periodic porous media. Part II: Dispersion tensor. Phys Fluids 9 (1997) 2253-2263
    • (1997) Phys Fluids , vol.9 , pp. 2253-2263
    • Souto, H.P.A.1    Moyne, C.2
  • 60
    • 0032486793 scopus 로고    scopus 로고
    • A review of experimental measurements of effective diffusive permeabilities and effective diffusion coefficients in biofilms
    • Stewart P.S. A review of experimental measurements of effective diffusive permeabilities and effective diffusion coefficients in biofilms. Biotechnol Bioeng 59 3 (1998) 261-272
    • (1998) Biotechnol Bioeng , vol.59 , Issue.3 , pp. 261-272
    • Stewart, P.S.1
  • 61
    • 0020091391 scopus 로고
    • Modeling of leachate organic migration and attenuation in groundwaters below sanitary landfills
    • Sykes J.F., Soyupak S., and Farquhar G.J. Modeling of leachate organic migration and attenuation in groundwaters below sanitary landfills. Water Resour Res 18 (1982) 135-145
    • (1982) Water Resour Res , vol.18 , pp. 135-145
    • Sykes, J.F.1    Soyupak, S.2    Farquhar, G.J.3
  • 62
    • 0003381083 scopus 로고
    • Dispersion of soluble matter in solvent flowing slowly through a tube
    • Taylor S.G. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc Lond 219 (1953) 186-203
    • (1953) Proc R Soc Lond , vol.219 , pp. 186-203
    • Taylor, S.G.1
  • 63
    • 0025626445 scopus 로고
    • Substrate and biomass transport in a porous medium
    • Taylor S., and Jaffe P. Substrate and biomass transport in a porous medium. Water Resour Res 26 9 (1990) 2181-2194
    • (1990) Water Resour Res , vol.26 , Issue.9 , pp. 2181-2194
    • Taylor, S.1    Jaffe, P.2
  • 64
    • 0036804528 scopus 로고    scopus 로고
    • Interaction between water flow and spatial distribution of microbial growth in a two-dimensional flow field in saturated porous media
    • Thullner M., Mauclaire L., Schroth M.H., Kinzelbach W., and Zeyer J. Interaction between water flow and spatial distribution of microbial growth in a two-dimensional flow field in saturated porous media. J Contam Hydrol 58 (2002) 169-189
    • (2002) J Contam Hydrol , vol.58 , pp. 169-189
    • Thullner, M.1    Mauclaire, L.2    Schroth, M.H.3    Kinzelbach, W.4    Zeyer, J.5
  • 65
    • 0022267615 scopus 로고
    • Validity of the local equilibrium assumption for modeling sorbing phase solute transport through homogeneous soils
    • Valocchi A. Validity of the local equilibrium assumption for modeling sorbing phase solute transport through homogeneous soils. Water Resour Res 21 (1985) 808-820
    • (1985) Water Resour Res , vol.21 , pp. 808-820
    • Valocchi, A.1
  • 66
    • 0000005482 scopus 로고
    • BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
    • Van Der Vost H. BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput 13 (1992) 631-644
    • (1992) SIAM J Sci Stat Comput , vol.13 , pp. 631-644
    • Van Der Vost, H.1
  • 67
    • 0030615931 scopus 로고    scopus 로고
    • Development of a dynamic model describing nitritification and nitratification in trickling filters
    • Vayenas D.V., Pavlou S., and Lyberatos G. Development of a dynamic model describing nitritification and nitratification in trickling filters. Water Res 31 5 (1997) 1135-1147
    • (1997) Water Res , vol.31 , Issue.5 , pp. 1135-1147
    • Vayenas, D.V.1    Pavlou, S.2    Lyberatos, G.3
  • 68
    • 0033455720 scopus 로고    scopus 로고
    • Analysis of macrodispersion through volume averaging: comparison with stochastic theory
    • Wang J., and Kitanidis P.K. Analysis of macrodispersion through volume averaging: comparison with stochastic theory. Stoch Environ Res Risk Assess 13 1-2 (1999) 66-84
    • (1999) Stoch Environ Res Risk Assess , vol.13 , Issue.1-2 , pp. 66-84
    • Wang, J.1    Kitanidis, P.K.2
  • 71
    • 0032004955 scopus 로고    scopus 로고
    • Diffusion and reaction in biofilms
    • Wood B.D., and Whitaker S. Diffusion and reaction in biofilms. Chem Eng Sci 53 3 (1998) 397-425
    • (1998) Chem Eng Sci , vol.53 , Issue.3 , pp. 397-425
    • Wood, B.D.1    Whitaker, S.2
  • 72
    • 0033588804 scopus 로고    scopus 로고
    • Cellular growth in biofilms
    • Wood B.D., and Whitaker S. Cellular growth in biofilms. Biotechnol Bioeng 64 (1999) 656-670
    • (1999) Biotechnol Bioeng , vol.64 , pp. 656-670
    • Wood, B.D.1    Whitaker, S.2
  • 73
    • 0034040524 scopus 로고    scopus 로고
    • Multi-species diffusion and reaction in biofilms and cellular media
    • Wood B.D., and Whitaker S. Multi-species diffusion and reaction in biofilms and cellular media. Chem Eng Sci 55 (2000) 3397-3418
    • (2000) Chem Eng Sci , vol.55 , pp. 3397-3418
    • Wood, B.D.1    Whitaker, S.2
  • 74
    • 0028161359 scopus 로고
    • Modeling contaminant transport and biodegradation in a layered porous media system
    • Wood B.D., Dawson C.N., Szecsody J.E., and Streile G.P. Modeling contaminant transport and biodegradation in a layered porous media system. Water Resour Res 30 (1994) 1833-1845
    • (1994) Water Resour Res , vol.30 , pp. 1833-1845
    • Wood, B.D.1    Dawson, C.N.2    Szecsody, J.E.3    Streile, G.P.4
  • 75
    • 0037022978 scopus 로고    scopus 로고
    • Calculation of effective diffusivities for biofilms and tissues
    • Wood B.D., Quintard M., and Whitaker S. Calculation of effective diffusivities for biofilms and tissues. Biotechnol Bioeng 77 5 (2002) 495-516
    • (2002) Biotechnol Bioeng , vol.77 , Issue.5 , pp. 495-516
    • Wood, B.D.1    Quintard, M.2    Whitaker, S.3
  • 76
    • 1542442306 scopus 로고    scopus 로고
    • Volume averaging for determining the effective dispersion tensor: closure using periodic unit cells and comparison with ensemble averaging
    • 10.1029/2002WR001723
    • Wood B.D., Cherblanc F., Quintard M., and Whitaker S. Volume averaging for determining the effective dispersion tensor: closure using periodic unit cells and comparison with ensemble averaging. Water Resour Res 39 8 (2003) 1210 10.1029/2002WR001723
    • (2003) Water Resour Res , vol.39 , Issue.8 , pp. 1210
    • Wood, B.D.1    Cherblanc, F.2    Quintard, M.3    Whitaker, S.4
  • 77
    • 34247133857 scopus 로고    scopus 로고
    • Effective reaction at a fluid-solid interface. Applications to biotransformation in porous media
    • 10.1016/j.advwatres.2006.05.032
    • Wood B.D., Radakovich K., and Golfier F. Effective reaction at a fluid-solid interface. Applications to biotransformation in porous media. Adv Water Resour 30 6-7 (2007) 1630-1647 10.1016/j.advwatres.2006.05.032
    • (2007) Adv Water Resour , vol.30 , Issue.6-7 , pp. 1630-1647
    • Wood, B.D.1    Radakovich, K.2    Golfier, F.3
  • 78
    • 61449158373 scopus 로고    scopus 로고
    • Wood BD, Golfier F, Quintard M. Dispersive transport in porous media with biofilms: local mass equilibrium in simple unit cells. Int J Environ Waste Manage, in press.
    • Wood BD, Golfier F, Quintard M. Dispersive transport in porous media with biofilms: local mass equilibrium in simple unit cells. Int J Environ Waste Manage, in press.
  • 79
    • 38549145456 scopus 로고    scopus 로고
    • Inertial effects on dispersion in porous media
    • 10.1029/2006WR005790
    • Wood B.D. Inertial effects on dispersion in porous media. Water Resour Res 43 (2007) W12S16 10.1029/2006WR005790
    • (2007) Water Resour Res , vol.43
    • Wood, B.D.1
  • 80
    • 64849115129 scopus 로고    scopus 로고
    • The role of scaling laws in upscaling
    • in press. doi:10.1016/j.advwatres.2008.08.015
    • Wood BD. The role of scaling laws in upscaling. Adv Water Resour, in press. doi:10.1016/j.advwatres.2008.08.015.
    • Adv Water Resour
    • Wood, B.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.