Breakthrough curve tailing in a dipole flow field

Water Resources Research

Volumn 43, Issue 9, 2007, Pages

  Luo, Jian ^a   Dentz, Marco ^b   Cirpka, Olaf A ^c   Kitanidis, Peter K ^d  

^a Georgia Institute of Technology   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c SWISS FEDERAL INSTITUTE OF AQUATIC SCIENCE AND TECHNOLOGY   (Switzerland)

^d Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; DISPERSIONS; FUNCTION EVALUATION; REACTION KINETICS; SORPTION;

BREAKTHROUGH CURVE; KINETIC SORPTION;

FLOW FIELDS;

DIFFUSION; DISPERSIONS; FLOW FIELDS; FUNCTION EVALUATION; REACTION KINETICS; SORPTION;

BREAKTHROUGH CURVE; DIFFUSION; DISPERSION; ERROR ANALYSIS; FLOW FIELD; MASS TRANSFER; POWER LAW; SORPTION; TAILINGS; TRACER; TRAVEL TIME; WELL WATER;

EID: 35848957264     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2006WR005600     Document Type: Article

References (53)

1. Abramowitz, M., and I. A. Stegun (1972), Handbook of Mathematical Functions with Formulas, Dover, New York.
2. Becker, M. W., and A. M. Shapiro (2000), Tracer transport in fractured crystalline rock: Evidence of nondiffusive breakthrough tailing, Water Resour. Res., 36, 1677-1686.
3. Becker, M. W., and A. M. Shapiro (2003), Interpreting tracer breakthrough tailing from different forced-gradient tracer experiment configurations in fractured bedrock, Water Resour. Res., 39(1), 1024, doi:10.1029/ 2001WR001190.
4. Berkowitz, B., and H. Scher (1997), Anomalous transport in random fracture networks, Phys. Rev. Lett., 79, 4038-4041.
5. Berkowitz, B., and H. Scher (1998), Theory of anomalous chemical transport in random fracture networks, Phys. Rev. E, 57, 5858-5869.
6. Berkowitz, B., H. Scher, and S. E. Silliman (2000), Anomalous transport in laboratory-scale, heterogeneous porous media, Water Resour. Res., 36, 149-158.
7. Berkowitz, B., A. Cortis, M. Dentz, and H. Scher (2006), Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi:10.1029/2005RG000178.
8. Carrera, J., X. Sanchez-Vila, I. Benet, A. Medina, G. Galarza, and J. Guimera (1998), On matrix diffusion: Formulations, solution methods and qualitative effects, Hydrogeol. J., 6, 178-190.
9. Chilakapati, A., and S. Yabusaki (1999), Nonlinear reactions and nonuniform flows, Water Resour. Res., 35, 2427-2438.
10. Crank, J. (1975), The Mathematics of Diffusion, Oxford Univ. Press, New York.
11. Cunningham, J. A., and M. Reinhard (2002), Injection-extraction treatment well pairs: An alternative to permeable reactive barriers, Ground Water, 40, 599-607.
12. Cunningham, J. A., T. P. Hoelen, G. D. Hopkins, C. A. Lebron, and M. Reinhard (2004), Hydraulics of recirculating well pairs for ground water remediation, Ground Water, 42, 880-889.
13. Cvetkovic, V., and R. Haggerty (2002), Transport with multiple-rate exchange in disordered media, Phys. Rev., 65, 051308, doi:10.1103/PhysRevE.65.051308.
14. Dagan, G., and P. Indelman (1999), Reactive solute transport inflow between a recharging and a pumping well in a heterogeneous aquifer, Water Resour. Res., 35, 3639-3647.
15. Dentz, M., and B. Berkowitz (2003), Transport behavior of a passive solute in continuous time random walks and multirate mass transfer, Water Resour. Res., 39(5), 1111, doi:10.1029/2001WR001163.
16. Dentz, M., A. Cortis, and B. Berkowitz (2004), Time behavior of solute transport in heterogeneous media: Transition from anomalous to normal transport, Adv. Water Resour., 27, 155-173.
17. Di Donato, G., and M. J. Blunt (2004), Streamline-based dual-porosity simulation of reactive transport and flow in fractured reservoirs, Water Resour. Res., 40, W04203, doi:10.1029/2003WR002772.
18. Di Donato, G., E. Obi, and M. J. Blunt (2003), Anomalous transport in heterogeneous media demonstrated by streamline-based simulation, Geophys. Res. Lett., 30(12), 1608, doi:10.1029/2003GL017196.
19. Dunnivant, F. M., P. M. Jardine, D. L. Taylor, and J. F. McCarthy (1992), Transport of naturally-occurring dissolved organic-carbon in laboratory columns containing aquifer material, Soil Sci. Soc. Am. J., 56, 437-444.
20. Farrell, J., and M. Reinhard (1994), Desorption of halogenated organics from model solids, sediments, and soil under unsaturated conditions, 2, Kinetics, Environ. Sci. Technol., 28, 63-72.
21. Fienen, M. N., J. Luo, and P. K. Kitanidis (2005), Semi-analytical, homogeneous, anisotropic capture zone delineation, J. Hydrol., 312, 39-50.
22. Fiori, A., I. Jankovic, and G. Dagan (2006), Modeling flow and transport in highly heterogeneous three-dimensional aquifers: Ergodicity, Gaussianity, and anomalous behavior - 2. Approximate semianalytical solution, Water Resour. Res., 42, W06D13, doi:10.1029/2005WR004752.
23. Guswa, A. J., and D. L. Freyberg (2000), Slow advection and diffusion through low permeability inclusions, J. Contam. Hydrol., 46, 205-232.
24. Hadermann, J., and W. Heer (1996), The Grimsel (Switzerland) migraton experiment: Integrating field experiments, laboratory investigations and modelling, J. Contam. Hydrol., 21, 87-100.
25. Haggerty, R., and S. M. Gorelick (1995), Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity, Water Resour. Res., 31, 2383-2400.
26. Haggerty, R., S. A. McKenna, and L. C. Meigs (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36, 3467-3479.
27. Haggerty, R., S. W. 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.
28. Harvey, C. F., and S. M. Gorelick (1995), Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers, Water Resour. Res., 31, 1895-1911.
29. Kitanidis, P. K. (1994), Particle-tracking equation for the solution of the advection-dispersion equation with variable coefficients, Water Resour. Res., 30, 3225-3227.
30. Koplik, J. (2001), The tracer transit-time tail in multipole reservoir flows, Trans. Porous Media, 42, 199-209.
31. Koplik, J., S. Redner, and E. J. Hinch (1994), Tracer dispersion in planar multipole flows, Phys. Rev. E, 50, 4650-4671.
32. Kurowski, P., I. Ippolito, J. P. Hulin, J. Koplik, and E. J. Hinch (1994), Anomalous-dispersion in a dipole flow geometry, Phys. Fluids, 6, 108-117.
33. Levy, M., and B. Berkowitz (2003), Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, J. Contam. Hydrol., 64, 203-226.
34. Luo, J., and P. K. Kitanidis (2004), Fluid residence times within a recirculation zone created by an extraction-injection well pair, J. Hydrol., 295, 149-162.
35. Luo, J., O. A. Cirpka, M. N. Fienen, W.-M. Wu, T. L. Mehlhorn, J. Carley, P. M. Jardine, C. S. Criddle, and P. K. Kitanidis (2006a), A parametric transfer function methodology for analyzing reactive transport in nonuniform flow, J. Contam. Hydrol., 83, 27-41.
36. Luo, J., W.-M. Wu, M. N. Fienen, P. M. Jardine, T. L. Mehlhorn, D. B. Watson, O. A. Cirpka, C. S. Criddle, and P. K. Kitanidis (2006b), A nested-cell approach for in situ remediation, Ground Water, 44, 266-274.
37. Margolin, G., M. Dentz, and B. Berkowitz (2003), Continuous time random walk and multirate mass transfer modeling of sorption, Chem. Phys., 295, 71-80.
38. Muskat, M. (1937), The Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York.
39. Novakowski, K. S., G. Bickerton, and P. Lapcevic (2004), Interpretation of injection-withdrawal tracer experiments conducted between two wells in a large single fracture, J. Contam. Hydrol., 73, 227-247.
40. Ptak, T., M. Piepenbrink, and E. Martac (2004), Tracer tests for the investigation of heterogeneous porous media and stochastic modelling of flow and transport - A review of some recent developments, J. Hydrol., 294, 122-163.
41. Sardin, M., D. Schweich, F. J. Leij, and M. T. van Genuchten (1991), Modeling the nonequilibrium transport of linearly interacting solutes in porous media: A review, Water Resour. Res., 27, 2287-2307.
42. Selroos, J. O., and V. Cvetkovic (1992), Modeling solute advection coupled with sorption kinetics in heterogeneous formations, Water Resour. Res., 28, 1271-1278.
43. Strack, O. D. L. (1989), Groundwater Mechanics, Prentice-Hall, Englewood Cliffs, N. J.
44. Sutton, D. J., Z. J. Kabala, D. E. Schaad, and N. C. Ruud (2000), The dipole-flow test with a tracer, a new single-borehole tracer test for aquifer characterization, J. Contam. Hydrol., 44, 71-101.
45. Tiedeman, C. R., and P. A. Hsieh (2004), Evaluation of longitudinal dispersivity estimates from simulated forced- and natural-gradient tracer tests in heterogeneous aquifers, Water Resour. Res., 40, W01512, doi:10.1029/2003WR002401.
46. Welty, C., and L. W. Gelhar (1994), Evaluation of longitudinal dispersivity from nonuniform flow tracer tests, J. Hydrol., 153, 71-102.
47. Werth, C. J., J. A. Cunningham, P. V. Roberts, and M. Reinhard (1997), Effects of grain-scale mass transfer on the transport of volatile organics through sediments: 2. Column results, Water Resour. Res., 33, 2727-2740.
48. Widestrand, H., J. Byegård, V. Cvetkovic, E.-L. Tullborg, A. Winberg, P. Andersson, and M. Siitari-Kauppi (2007), Sorbing tracer experiments in a crystalline rock fracture at Äspö (Sweden): 1. Experimental setup and microscale characterization of retention properties, Water Resour. Res., doi:10.1029/2006WR005277, in press.
49. Wu, W.-M., et al. (2006), Pilot-scale in situ bioremediation of uranium in a highly contaminated aquifer. 2. Reduction of U(VI) and geochemical control of U(VI) bioavailability, Environ. Sci. Technol., 40, 3986-3995.
50. Zhan, H. (1999), Analytical and numerical modeling of a double well capture zone, Math. Geol., 31, 175-193.
51. Zhang, M., and J. Koplik (1997), Tracer dispersion in three-dimensional multipole flows, Phys. Rev. E, 56, 4244-4258.
52. Zheng, C., and G. D. Bennett (2002), Applied Contaminant Transport Modeling, 2nd ed., John Wiley, New York.
53. Zinn, B., L. C. Meigs, C. F. Harvey, R. Haggerty, W. J. Peplinski, and C. F. Von Schwerin (2004), Experimental visualization of solute transport and mass transfer processes in two-dimensional conductivity fields with connected regions of high conductivity, Environ. Sci. Technol., 38, 3916-3926.