Equivalence of two models for biodegradation during contaminant transport in groundwater

Water Resources Research

Volumn 42, Issue 2, 2006, Pages

  Cunningham, J A ^a   Mendoza Sanchez, I ^b  

^a University of South Florida   (United States)

^b INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BIOFILMS; BOUNDARY LAYERS; DIFFUSION; GROUNDWATER FLOW; GROUNDWATER POLLUTION; MATHEMATICAL MODELS;

BIOFILM MODELS; CONTAMINANT TRANSPORT; DEGRADATION RATE COEFFICIENT; MACROSCOPIC PROPERTIES;

BIODEGRADATION;

BIODEGRADATION; BIOFILMS; BOUNDARY LAYERS; DIFFUSION; GROUNDWATER FLOW; GROUNDWATER POLLUTION; MATHEMATICAL MODELS;

BIODEGRADATION; BIOFILM; BOUNDARY LAYER; DIFFUSION; GROUNDWATER; MATHEMATICAL THEORY; POLLUTANT; TRANSPORTATION;

EID: 33645749367     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004205     Document Type: Article

References (36)

1. Bahr, J. M., and J. Rubin (1987), Direct comparison of kinetic and local equilibrium formulations for solute transport affected by surface reactions, Water Resour. Res., 23(3), 438-452.
2. Baveye, P., and A. Valocchi (1989), An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers, Water Resour. Res., 25(6), 1413-1421.
3. Bekins, B. A., E. Warren, and E. M. Godsy (1998), A comparison of zero-order, first-order, and Monod biotransformation models, Ground Water, 36(2), 261-268.
4. Bjerg, P. L., A. Brun, P. H. Nielsen, and T. H. Christensen (1996), Application of a model accounting for kinetic Sorption and degradation to in situ microcosm observations on the fate of aromatic hydrocarbons in an aerobic aquifer, Water Resour. Res., 32(6), 1831-1841.
5. Brusseau, M. L., R. E. Jessup, and P. S. C. Rao (1992), Modeling solute transport influenced by multiprocess nonequilibrium and transformation reactions, Water Resour. Res., 28(1), 175-182.
6. Brusseau, M. L., L. H. Xie, and L. Li (1999), Biodegradation during contaminant transport in porous media: 1. Mathematical analysis of controlling factors, J. Contam. Hydrol., 37, 269-293.
7. Celia, M. A., J. S. Kindred, and I. Herrera (1989), Contaminant transport and biodegradation: 1. A numerical model for reactive transport in porous media, Water Resour. Res., 25(6), 1141-1148.
8. Chang, C.-M., M. W. Kemblowski, and G. E. Urroz (1999), Transient stochastic analysis of biodegradable contaminant transport: First-order decay, Transp. Porous Media, 35, 1-14.
9. Crittenden, J. C., N. J. Hutzler, D. G. Geyer, J. L. Oravitz, and G. Friedman (1986), Transport of organic compounds with saturated groundwater flow: Model development and parameter sensitivity, Water Resour. Res., 22(3), 271-284.
10. Crump, K. (1976), Numerical inversion of Laplace transforms using a Fourier series approximation, J. Assoc. Comput. Mach., 23(1), 89-96.
11. Cunningham, J. A., C. J. Werth, M. Reinhard, and P. V. Roberts (1997), Effects of grain-scale mass transfer on the transport of volatile organics through sediments: 1. Model development, Water Resour. Res., 33(12), 2713-2726.
12. Dykaar, B. B., and P. K. Kitanidis (1996), Macrotransport of a biologically reacting solute through porous media, Water Resour. Res., 32(2), 307-320.
13. El-Farhan, Y. H., K. M. Scow, L. W. de Jonge, D. E. Rolston, and P. Moldrup (1998), Coupling transport and biodegradation of toluene and trichloroethylene in unsaturated soils, Water Resour. Res., 34(3), 437-445.
14. Fry, V. A., and J. D. Istok (1994), Effects of rate-limited desorption on the feasibility of in situ bioremediation, Water Resour. Res., 30(8), 2413-2422.
15. Fry, V. A., J. D. Istok, and R. B. Guenther (1993), An analytical solution to the solute transport equation with rate-limited desorption and decay, Water Resour. Res., 29(9), 3201-3208.
16. Kasten, P. R., L. Lapidus, and N. R. Amundson (1952), Mathematics of adsorption in beds: V. Effect of intraparticle diffusion in flow systems in fixed beds, J. Phys. Chem., 56(6), 683-688.
17. MacQuarrie, K. T. B., E. A. Sudicky, and E. O. Frind (1990), Simulation of biodegradable organic contaminants in groundwater: 1. Numerical formulation in principal directions, Water Resour. Res., 26(2), 207-222.
18. Michaelis, L., and M. L. Menten (1913), Die Kinetic der Invertinwirkung, Biochem. Z., 49, 333-369.
19. Miller, C. T., and W. J. Weber Jr. (1986), Sorption of hydrophobic organic pollutants in saturated soil systems, J. Contam. Hydrol., 1, 243-261.
20. Miralles-Wilhelm, F., and L. W. Gelhar (1996), Stochastic analysis of transport and decay of a solute in heterogeneous aquifers, Water Resour. Res., 32(12), 3451-3459.
21. Molz, F. J., M. A. Widdowson, and L. D. Benefield (1986), Simulation of microbial growth dynamics coupled to nutrient and oxygen transport in porous media, Water Resour. Res., 22(8), 1207-1216.
22. Monod, J. (1949), The growth of bacterial cultures, Annu. Rev. Microbiol., 3, 371-394.
23. Murphy, E. M., T. R. Ginn, A. Chilakapati, C. T. Resch, J. L. Phillips, T. W. Wietsma, and C. M. Spadoni (1997), The influence of physical heterogeneity on microbial degradation and distribution in porous media, Water Resour. Res., 33(5), 1087-1103.
24. Oya, S., and A. J. Valocchi (1997), Characterization of traveling waves and analytical estimation of pollutant removal in one-dimensional subsurface bioremediation modeling, Water Resour. Res., 33(5), 1117-1127.
25. Quinodoz, H. A. M., and A. J. Valocchi (1993), Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity, Water Resour. Res., 29(9), 3227-3240.
26. Rasmuson, A., and I. Neretnieks (1980), Exact solution of a model for diffusion in particles and longitudinal dispersion in packed beds, AIChE J., 26(4), 686-690.
27. Rasmuson, A., and I. Neretnieks (1981), Migration of radionuclides in fissured rock: The influence of micropore diffusion and longitudinal dispersion, J. Geophys. Res., 86(B5), 3749-3758.
28. Rittmann, B. E. (1993), The significance of biofilms in porous media, Water Resour. Res., 29(7), 2195-2202.
29. Rittmann, B. E., and P. L. McCarty (1980), Model of steady state-biofilm kinetics, Biotechnol. Bioeng., 22(11), 2343-2357.
30. Rittmann, B. E., and P. L. McCarty (2001), Environmental Biotechnology: Principles and Applications, McGraw-Hill, New York.
31. Rosen, J. B. (1952), Kinetics of a fixed bed system for solid diffusion into spherical particles, J. Chem. Phys., 20(3), 387-394.
32. Suidan, M. T., and Y.-T. Wang (1985), Unified analysis of biofilm kinetics, J. Environ. Eng., 111(5), 634-646.
33. Sun, Y., and X. Lu (2005), A screening model for evaluating the degradation and transport of MTBE and other fuel oxygenates in groundwater, Transp. Porous Media, 60, 75-88.
34. Sun, Y., X. Lu, J. N. Petersen, and T. A. Buscheck (2004), An analytical solution of tetrachloroethylene transport and biodegradation, Transp. Porous Media, 55, 301-308.
35. Williamson, K., and P. L. McCarty (1976), A model of substrate utilization by bacterial films, J. Water Pollut. Control Fed., 48(1), 9-24.
36. Zhang, K., and A. D. Woodbury (2002), A Krylov finite element approach for multispecies contaminant transport in discretely fractured porous media, Adv. Water Resour., 25, 705-721.