How well do mean breakthrough curves predict mixing-controlled reactive transport?

Water Resources Research

Volumn 47, Issue 2, 2011, Pages

  Luo, Jian ^a   Cirpka, Olaf A ^b  

^a Georgia Institute of Technology   (United States)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BREAK THROUGH CURVE; HETEROGENEOUS MEDIA; HIGH CONTRAST; HIGH PERMEABILITY; ISOTROPIC MEDIUM; LOW PERMEABILITY; MACROSCOPIC MODEL; MACROSCOPIC TRANSPORT MODEL; MAXIMUM RELATIVE ERRORS; MULTI-MODAL; NUMERICAL SIMULATION; OUTFLOW BOUNDARY; PEAK CONCENTRATIONS; PERMEABILITY CONTRASTS; PRECIPITATION REACTION; PREFERENTIAL FLOWS; REACTIVE TRANSPORT; SOLUTE FLUX;

CONTRAST MEDIA; FORECASTING; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; MIXING; MODELS; PECLET NUMBER; REACTION RATES;

CONCENTRATION (PROCESS);

CONCENTRATION (COMPOSITION); ERROR ANALYSIS; FLUX MEASUREMENT; HYDRAULIC CONDUCTIVITY; MOLECULAR ANALYSIS; NUMERICAL MODEL; PERMEABILITY; PRECIPITATION INTENSITY; REACTIVE TRANSPORT; SOLUTE;

EID: 79951798020     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR009461     Document Type: Article

References (43)

1. Barlebo, H. C., M. C. Hill, and D. Rosbjerg (2004), Investigating the Macrodispersion Experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inerse flow and transport model, Water Resour. Res., 40, W0421 1, doi: 10.1029 2002WR001935.
2. Berkowitz, B., and H. Scher (1997), Anomalous transport in random fr (Pubitemid 127645148)
3. Berkowitz, B., and H. Scher (1998), Theory of anomalous chemical transport in random fracture networks, Phys. Rev. E, 57, 5858-5869. (Pubitemid 128579509)
4. Berkowitz, B., A. Cortis, M. Dentz and H. Scher (2006), Modeling nonFickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi:10. 1029 2005RG000 178.
5. Bolster, D., D.A. Benson, T. Le Borgne, and M. Dentz (2010), Anomalous mixing and reaction induced by superdiffusive nonlocal transport, Phys. Rev. E, 82, 021119.
6. Cirpka, O. A. (2002), Choice of dispersion coefficients in reactive transport calculations on smoothed fields, I Contaim. Hydrol, 58, 261-282. (Pubitemid 35291152)
7. Cirpka, O. A., and P. K. Kitanidis (2000a), Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments, Water Resour. Res., 36, 1221-1236. (Pubitemid 30254882)
8. Cirpka, 0. A., and P. K. Kitanidis (2000b), An advective-dispersive stream tube approach for the transfer of conservative tracer data to reactive transport, Water Resour. Res., 36, 1209-1220. (Pubitemid 30254881)
9. Cirpka, O. A., and A. J. Valocchi (2007), Two-dimensional concentration distribution for mixing-controlled bio-reactive transport in steady state, Adv. Water Resour. , 30, 1668-1679. (Pubitemid 46586074)
10. Cirpka, O. A., and A. J. Valocchi (2009), Reply to comments on "Two-dimensional concentration distribution for mixing-controlled bio-reactive transport in steady state" by H. Shao et al., Adv. Water Resour. , 32, 298-301.
11. Cirpka, O. A., E. O. Frind, and R. Helmig (1999a), Numerical methods for reactie transport on rectangular and streamline-oriented grids, Adv. Water Resour. , 22, 711-728. (Pubitemid 29273575)
12. Cirpka, O. A., E. O. Frind, and R. Helmig (1999b), Streamline-oriented grid-generation for transport modelling in two-dimensional domains including wells, Adv. Water Resour., 22, 697-710. (Pubitemid 29273574)
13. Cirpka, O. A., R. L. Schwede, J. Luo, and M. Dentz (2008), Concentration statistics for mixing- controlled reactive transport in random heterogeneous media, I Contaim. Hydrol, 98, 61-74.
14. Cushman, J. H., and T. R. Ginn (2000), Fraction advection-dispersion equation: A classical mass balance with conolution-Fickian flux, Water Resour. Res., 36, 3763 3766.
15. De Simoni, M., J. Carrera, X. Sanchez-Vila, and A. Guadagnini (2005), A procedure for the solution of multicomponent reacti e transport problems, Water Resour. Res., 41, W11410, doi: 10.1029 2005WR004056.
16. De Simoni, M., X. Sanchez-Vila, J. Carrera, and M. W. Saaltink (2007), A mixing ratios-based formulation for multicomponent reacti e transport, WaterResoui Res., 43, W07419, doi: 10.1029 2006WR005256.
17. Dentz, M., and J. Carrera (2007), Mixing and spreading in stratified flow, Phys. Fluids, 19, 017107.
18. Dykaar, B. B., and P. K. Kitanidis (1992), Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach: 1. Method, Water Resour. Res., 28, 1155-1166.
19. Edery, Y., H. Scher, and B. Berkowitz (2009), Modeling bimolecular reactions and transport in porous media, Geophys. Res. Lett., 36, L02407, doi: 10.1029 2008GL036381.
20. Gramling, C. M., C. F. Harvey, and L. C. Meigs (2002), Reactive transport in porous media: A comparison of model prediction with laboratory visualization, Environ. Sci. Technol,36, 2508-2514. (Pubitemid 34595192)
21. Guswa, A. J., and D. L. Freyberg (2000), Slow advection and diffusion through low permeability inclusions, J. Contain. Hvdrol, 46, 205 232.
22. Hadermann, J., and W. Heer (1996), The Grimsel (Switzerland) migration experiment: Integrating field experiments, laboratory investigations and modelling, I Contaim. Hydrol, 21, 87 100.
23. Haggerty, R., S. A. McKenna, and L. C. Meigs (2000), On the late-time behavinr nf tracer test breakthrough curves, Water Resour. Res., 36, 3467-3479. (Pubitemid 32039902)
24. Haggerty, R., SW. Fleming, and L. C. Meigs (2001), Tracer tests in a fractured dolomite: 2. Analysis of mass transfer in single-well injection- withdrawal tests, Water Resour. Res., 37, 1129-1142. (Pubitemid 32532639)
25. Ham, P. A. S., R.J. Schotting, H. Prommer, and G. B. Davis (2004), Effects of hydrodynamic dispersion on plume lengths for instantaneous bimolecularreaction,Adv. Water Resour. Res., 27, 803-813. (Pubitemid 39122661)
26. Harvey, C., and S. M. Gorelick (2000), Rate-limited mass transfer or macrodispersion: Which dominates plume evolution at the Macrodispersion Experiment (MADE) site?, Water Resour. Res., 36, 637-650. (Pubitemid 30149751)
27. Kapoor, V., and P. K. Kitanidis (1998), Concentration fluctuations and dilution in aquifers, Water Resour. Res., 34, 1181-1193. (Pubitemid 28219546)
28. Kapoor, V., L.W. Gelhar, and F. Miralles-Wilhelm (1997), Bimolecular second order reactions in spatially varying flows: Segregation induced scale-dependent transformation rates, Water Resour. Res., 33, 527-536.
29. Kitanidis, P. K. (1994), The concept of the dilution index, Water Resour. Res., 30, 2011-2026. (Pubitemid 286134)
30. Liu, C., C. Zheng, and S. M. Gorelick (2004), Limits of applicability of the ad ection-dkperion model in aquifers containing connected high-conductivity channels, Water Resoui Res., 40, W08308, doi: 10.1029 2003 WR00273 5.
31. Liu, C., C. Zheng, and S. M. Corelick (2007), Evaluation of the applicability of the dual-domain mass transfer model in porous media containing connected high-conductivity channels, Water Resour. Res., 43, W12407, doi: 10.1029 2007 WR005965.
32. Luo, J., and 0. A. Cirpka (2008), Travel-time based descriptions of transport and mixing in heterogeneous domains, Water Resour. Res., 44, W09407, doi: 10.1029 2007 WR006035.
33. Luo, J., M. Dentz, J. Carrera, and P. K. Kitanidis (2008), Effective reaction parameters for mixing controlled reactions in heterogeneous media, Water Resour. Res., 44, W02416, doi: 10.1029 2006WR005658.
34. MacQuarrie, K. T. B., and E. A. Sudicky(1990), Simulation of biodegradable organic contaminants in groundwater: Z Plume behavior in unithrrn and random flow fields, Water Resour. Res., 26, 223-239. (Pubitemid 20406003)
35. Miralles-Wilhelm, F., L.W. Gelhar, and V. Kapoor (1997), Stochastic analysis of oxygen-limited biodegradation in three-dimensionally heterogeneous aquifers, Water Resour. Res., 33, 1251 1263.
36. Molz, F. J., and M. A. Widdowson (1988), Internal inconsistencies in dispersion-dominated models that incorporate chemical and microbial kinetics, Water Resour. Res., 24, 615-619.
37. Raje, D. S., and V. Kapoor (2000), Experimental study of bimolecular reaction kinetics in porous media, Environ. Sci. Technol, 34, 1234-1239. (Pubitemid 30186017)
38. Salamon, P., D. Fernandez-Garcia, and J. J. Gomez-Hernandez (2007), Modeling tracer transport at the MADE site: The importance of heterogeneity, Water Resour. Res., 43, W08404, doi: 10.1029 2006 WR005522.
39. Selroos, J. O., and V. Cvetkovic (1992), Modeling solute advection coupled with sorption kinetics in heterogeneous formations, Water Resour. Res., 28, 1271-1278 (Pubitemid 23372273)
40. Suribhatla, R., M. Bakker, K. Bandilla, and I. Jankovic (2004), Steady two- dimensional groundwater flow through many elliptical inhomogeneities, Water Resour. Res., 40, W04202, doi: 10.1029 2003WR002718.
41. Willmann, W., J. Carrera, X. Sanchez-Vila, 0. Silva, and M. Dentz (2010), Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media, Water Resour. Res., 46, W07512, doi:10.1029 2009 WR007739.
42. Zheng, C., and S. M. Gorelick (2003), Analysis of solute transport in flow fields influenced by preferential flowpaths at the decimeter scale, Ground Water, 41, 142-155. (Pubitemid 36280733)
43. Zinn, B., L. S. Meigs, C. F. Harvey, R. Haggerty, W. J. Peplinski, and C. F. von Schwerin (2004), Experimental visualization of solution transport and mass transfer processes in two-dimensional conductivity fields with connected regions of high conductivity, Environ. Sci. Technol, 38, 3916-3926. (Pubitemid 38955638)