What controls the apparent timescale of solute mass transfer in aquifers and soils? A comparison of experimental results

Water Resources Research

Volumn 40, Issue 1, 2004, Pages

  Haggerty, Roy ^a   Harvey, Charles F ^b   Von Schwerin, Claudius Freiherr ^a,c   Meigs, Lucy C ^d  

^a OREGON STATE UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c John Shomaker and Associates Inc   (United States)

^d SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Diffusion; Heavy tails; Multirate; Rate limitations; Scale dependence; Sorption

Indexed keywords

AQUIFERS; ESTIMATION; MASS TRANSFER; POROSITY; SOILS; WATER;

SOIL MATERIAL; SOLUTE MASS TRANSFER;

WATER RESOURCES;

EXPERIMENTAL STUDY; SOIL-WATER INTERACTION; SOLUTE TRANSPORT; SORPTION;

AQUIFER; EXPERIMENTAL STUDY; MASS TRANSFER; SOIL WATER; SOLUTE TRANSPORT; SORPTION; TRACER;

EID: 2542634265     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2002WR001716     Document Type: Article

References (93)

1. Angley, J. T., M. L. Brusseau, W. L. Miller, and J. J. Delfino (1992), Nonequilibrium sorption and aerobic biodegradation of dissolved alkyl-benzenes during transport in aquifer material: Column experiments and evaluation of a coupled-process model, Environ. Sci. Technol., 26, 1404-1410.
2. Backes, E. A., R. G. McLaren, A. W. Rate, and R. S. Swift (1995), Kinetics of cadmium and cobalt desorption from iron and manganese oxides, Soil Sci. Soc. Am. J., 59(3), 778-785.
3. 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.
4. Bajracharya, K., and D. A. Barry (1997), Nonequilibrium solute transport parameters and their physical significance: Numerical and experimental results, J. Contam. Hydrol., 24, 185-204.
5. Ball, W. P., and P. V. Roberts (1991), Long-term sorption of halogenated organic chemicals by aquifer material, 2, Intraparticle diffusion, Environ. Sci. Technol., 25, 1237-1249.
6. Brusseau, M. L. (1992), Nonequilibrium transport of organic chemicals: The impact of pore-water velocity, J. Contam. Hydrol., 9, 353-368.
7. Brusseau, M. L., T. Larsen, and T. H. Christensen (1991), Rate-limited sorption and nonequilibrium transport of organic chemicals in low organic carbon aquifer materials, Water Resour. Res., 27(6), 1137-1145.
8. Brusseau, M. L., Z. Gerstl, D. Augustijn, and P. S. C. Rao (1994), Simulating solute transport in an aggregated soil with the dual-porosity model: Measured and optimized parameter values, J. Hydrol., 163, 187-193.
9. Cameron, D. R., and A. Klute (1977), Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model, Water Resour. Res., 13(1), 183-188.
10. Chen, W., and R. J. Wagenet (1997), Description of atrazine transport in soil with heterogeneous nonequilibrium sorption, Soil Sci. Soc. Am. J., 61, 360-371.
11. Connaughton, D. F., J. R. Stedinger, L. W. Lion, and M. L. Shufer (1993), Description of time-varying desorption kinetics: Release of naphthalene from contaminated soils, Environ. Sci. Technol., 27, 2397-2403.
12. Culver, T. B., S. P. Hallisey, D. Sahoo, J. J. Deitsch, and J. A. Smith (1997), Modeling the desorption of organic contaminants from long-term contaminated soil using distributed mass transfer rates, Environ. Sci. Technol., 31(6), 1581-1588.
13. Culver, T. B., R. A. Brown, and J. A. Smith (2000), Rate-limited sorption and desorption of 1, 2-dichlorobenzene to a natural sand soil column, Environ. Sci. Technol., 34(12), 2446-2452.
14. Cunningham, J. A., and P. V. Roberts (1998), Use of temporal moments to investigate the effects of nonuniform grain-size distribution on the transport of sorbing solutes, Water Resour. Res., 34(6), 1415-1425.
15. Deitsch, J. J., J. A. Smith, M. B. Arnold, and J. Bolus (1998), Sorption and desorption rates of carbon tetrachloride and 1, 2-dichlorobenzene to three organobentonites and a natural peat soil, Environ. Sci. Technol., 32(20), 3169-3177.
16. Deitsch, J. J., J. A. Smith, T. B. Culver, R. A. Brown, and S. A. Riddle (2000), Distributed-rate model analysis of 1, 2-dichlorobenzene batch sorption and desorption rates for five natural sorbents, Environ. Sci. Technol., 34(8), 1469-1476.
17. 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.
18. de Smedt, F., and P. J. Wierenga (1984), Solute transfer through columns of glass beads, Water Resour. Res., 20(2), 225-232.
19. de Smedt, F., F. Wauters, and J. Sevilla (1986), Study of tracer movement through unsaturated sand, J. Hydrol., 85, 169-181.
20. Freiherr von Schwerin, C. (2002), Experimental examination of late-time breakthrough behavior in a non-uniform porous medium, M. S. thesis, Oreg. State Univ., Corvallis.
21. Gelhar, L. W., C. Welty, and K. R. Rehfeldt (1992), A critical review of data on field-scale dispersion in aquifers, Water Resour. Res., 28(7), 1955-1974.
22. Glueckauf, E. (1955), Theory of chromatography, part 10, Formulae for diffusion into spheres and their application to chromatography, Trans. Faraday Soc., 51, 1540-1551.
23. Goltz, M. N., and P. V. Roberts (1986), Interpreting organic solute transport data from a field experiment using physical nonequilibrium models, J. Contam. Hydrol., 1, 77-93.
24. Goltz, M. N., and P. V. Roberts (1987), Using the method of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspectives, Water Resour. Res., 23(8), 1575-1585.
25. Griffioen, J. W., D. A. Barry, and J.-Y. Parlange (1998), Interpretation of two-region model parameters, Water Resour. Res., 34(3), 373-384.
26. Guswa, A. J., and D. L. Freyberg (2000), Slow advection and diffusion through low permeability inclusions, J. Contam. Hydrol., 46(3-4), 205-232.
27. Gvirtzman, H., and S. M. Gorelick (1991), Dispersion and advection in unsaturated porous media enhanced by anion exclusion, Nature, 352, 793-795.
28. 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(10), 2383-2400.
29. Haggerty, R., and S. M. Gorelick (1998), Modeling mass transfer processes in soil columns with pore-scale heterogeneity, Soil Sci. Soc. Am. J., 62(1), 62-74.
30. Haggerty, R., S. A. McKenna, and L. C. Meigs (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36(12), 3467-3479.
31. Haggerty, R., S. W. Fleming, L. C. Meigs, and S. A. McKenna (2001), Tracer tests in a fractured dolomite: 2. Analysis of mass transfer in single-well injection-withdrawal tests, Water Resour. Res., 37(5), 1129-1142.
32. Harmon, T. C., W. P. Ball, and P. V. Roberts (1989), Nonequilibrium transport of organic contaminants in groundwater, in Reactions and Movement of Organic Chemicals in Soils, edited by B. L. Sawhney and K. Brown, Soil Sci. Soc. Am. Spec. Publ., 22, 405-437.
33. Harvey, C. F., and S. M. Gorelick (1995), Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers, Water Resour. Res., 31(8), 1895-1911.
34. 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(3), 637-650.
35. Hollenbeck, K. J., C. F. Harvey, R. Haggerty, and C. J. Werth (1999), A method for estimating distributions of mass transfer rate coefficients with application to purging and batch experiments, J. Contam. Hydrol., 37(3-4), 367-388.
36. Hornung, U. (1997), Miscible displacement, in Homogenization in Porous Media, edited by U. Hornung, pp. 129-146, Springer-Verlag, New York.
37. Hornung, U., and R. E. Showalter (1990), Diffusion models for fractured media, J. Math. Anal. Appl., 147, 69-80.
38. Jaekel, U., A. Georgescu, and H. Vereecken (1996), Asymptotic analysis of nonlinear equilibrium solute transport in porous media, Water Resour. Res., 32(10), 3093-3098.
39. Jennings, A. A., and D. J. Kirkner (1984), Instantaneous equilibrium approximation analysis, J. Hydraul. Eng., 110(12), 1700-1717.
40. Jones, T. L., V. A. Kelley, J. F. Pickens, D. T. Upton, R. L. Beauheim, and P. B. Davies (1992), Integration of interpretation results of tracer tests performed in the Culebra dolomite at the Waste Isolation Pilot Plant Site, Sandia Natl. Lab., Albuquerque, N. M.
41. Karapanagioti, H. K., S. Kleineidam, D. A. Sabatini, P. Grathwohl, and B. Ligouis (2000), Impacts of heterogeneous organic matter on phenanthrene sorption: Equilibrium and kinetic studies with aquifer material, Environ. Sci. Technol., 34, 406-414.
42. Kasnavia, T., D. Vu, and D. A. Sabatini (1999), Fluorescent dye and media properties affecting sorption and tracer selection, Ground Water, 37(3), 376-381.
43. Kauffman, S. J., C. H. Bolster, G. M. Hornberger, J. S. Herman, and A. L. Mills (1998), Rate-limited transport of hydrooxyatrazine in an unsaturated soil, Environ. Sci. Technol., 32(20), 3137-3141.
44. Koch, S., and H. Flühler (1993), Non-reactive solute transport with micropore diffusion in aggregated porous media determined by a flow-interruption method, J. Contam. Hydrol., 14, 39-54.
45. Kookana, R. S., R. D. Schuller, and L. A. G. Aylmore (1993), Simulation of simazine transport through soil columns using time-dependent sorption data measured under flow conditions, J. Contam. Hydrol., 14, 93-115.
46. Krupp, H. K., and D. E. Elrick (1968), Miscible displacement in an unsaturated glass bead medium, Water Resour. Res., 4(4), 809-815.
47. Lee, L. S., P. S. C. Rao, M. L. Brusseau, and R. A. Ogwada (1988), Nonequilibrium sorption of organic contaminants during flow through columns of aquifer materials, Environ. Toxicol. Chem., 7, 779-793.
48. Li, L., D. A. Barry, P. J. Culligan-Hensley, and K. Bajracharya (1994), Mass transfer in soils with local stratification of hydraulic conductivity, Water Resour. Res., 30(11), 2891-2900.
49. Lorden, S. W., W. Chen, and L. W. Lion (1998), Experiments and modeling of the transport of trichloroethene vapor in unsaturated aquifer material, Environ. Sci. Technol., 32(13), 2009-2017.
50. Mallants, D., M. Vanclooster, M. Meddahi, and J. Feyen (1994), Estimating solute transport in undisturbed soil columns using time-domain reflectometry, J. Contam. Hydrol., 17, 91-109.
51. Maraqa, M. A. (2001), Prediction of mass-transfer coefficient for solute transport in porous media, J. Contam. Hydrol., 53(1-2), 153-171.
52. Maraqa, M. A., R. B. Wallace, and T. C. Voice (1999), Effects of residence time and degree of water saturation on sorption nonequilibrium parameters, J. Contam. Hydrol., 36, 53-72.
53. Margolin, G., and B. Berkowitz (2000), Application of continuous time random walks to transport in porous media, J. Phys. Chem. B At. Mol. Phys., 104(16), 3942-3947.
54. McLaren, R. G., C. A. Backes, A. W. Rate, and R. S. Swift (1998), Cadmium and cobalt desorption-kinetics from soil clays: Effect of sorption period, Soil Sci. Soc. Am. J., 62(2), 322-337.
55. Miller, C. T., and W. J. Weber Jr. (1986), Sorption of hydrophobic organic pollutants in saturated soil systems, J. Contam. Hydrol., 1, 243-261.
56. Moench, A. F. (1995), Convergent radial dispersion in a double-porosity aquifer with fracture skin: Analytical solution and application to a field experiment in fractured chalk, Water Resour. Res., 31(8), 1823-1835.
57. Neuman, S. P. (1990), Universal scaling of hydraulic conductivities and dispersivities in geologic media, Water Resour. Res., 26(8), 1749-1758.
58. Nkedi-Kizza, P., J. W. Biggar, H. M. Selim, M. T. van Genuchten, P. J. Wierenga, J. M. Davidson, and D. R. Nielsen (1984), On the equivalence of two conceptual models for describing ion exchange during transport through an aggregated oxisol, Water Resour. Res., 20(8), 1123-1130.
59. 45Ca through soil columns with aqueous and mixed solvents, Environ. Sci. Technol., 23(7), 814-820.
60. Ohlsson, Y., and I. Neretnieks (1995), Literature survey of matrix diffusion theory and of experiments and data including natural analogues, 89 pp., Swed. Nucl. Fuel and Waste Manage. Co., Stockholm.
61. Pang, L., and M. Close (1999), Field-scale physical non-equilibrium transport in an alluvial gravel aquifer, J. Contam. Hydrol., 38, 447-464.
62. Parker, J. C., and A. J. Valocchi (1986), Constraints on the validity of equilibrium and first-order kinetic transport models in structured soils, Water Resour. Res., 22(3), 399-407.
63. Pedit, J. A., and C. T. Miller (1994), Heterogeneous sorption processes in subsurface systems, 1, Model formulations and applications, Environ. Sci. Technol., 28(12), 2094-2104.
64. Pedit, J. A., and C. T. Miller (1995), Heterogeneous sorption processes in subsurface systems, 1, Diffusion modeling approaches, Environ. Sci. Technol., 29(7), 2094-2104.
65. Peszyńska, M. (1996), Finite element approximation of diffusion equations with convolution terms, Math. Comput., 65(215), 1019-1037.
66. Pignatello, J. J., and B. Xing (1996), Mechanisms of slow sorption of organic chemicals to natural particles, Environ. Sci. Technol., 30(1), 1-11.
67. Pignatello, J., F. J. Ferrandino, and L. Q. Huang (1993), Elution of aged and freshly added herbicides from a soil, Environ. Sci. Technol., 27(8), 1563-1571.
68. Ptacek, C. J., and R. W. Gillham (1992), Laboratory and field measurements of non-equilibrium transport in the Borden aquifer, Ontario, Canada, J. Contam. Hydrol., 10, 119-158.
69. 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.
70. Rao, P. S. C., R. E. Jessup, D. E. Rolston, J. M. Davidson, and D. P. Kilcrease (1980a), Experimental and mathematical description of non-adsorbed solute transfer by diffusion in spherical aggregates, Soil Sci. Soc. Am. J., 44(4), 684-688.
71. Rao, P. S. C., D. E. Rolston, R. E. Jessup, and J. M. Davidson (1980b), Solute transport in aggregated porous media: Theoretical and experimental evaluation, Soil Sci. Soc. Am. J., 44(6), 1139-1146.
72. Rao, P. S. C., R. E. Jessup, and T. M. Addiscott (1982), Experimental and theoretical aspects of solute diffusion in spherical and nonspherical aggregates, Soil Science, 133(6), 342-349.
73. Rügner, H., S. Kleineidam, and P. Grathwohl (1999), Long-term sorption kinetics of phenanthrene in aquifer materials, Environ. Sci. Technol., 33, 1645-1651.
74. Sahoo, D., and J. A. Smith (1997), Enhanced trichloroethene desorption from long-term contaminated soil using triton X-100 and pH increases, Environ. Sci. Technol., 31(7), 1910-1915.
75. Sardin, M., D. Schweich, F. J. Keij, and M. T. van Genuchten (1991), Modeling the nonequilibrium transport of linearly interacting solutes in porous media: A review, Water Resour. Res., 27(9), 2287-2307.
76. Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer (2003), Fractal mobile/immobile solute transport, Water Resour. Res., 39(10), 1296, doi:10.1029/2003WR002141.
77. Seyfried, M. S., and P. S. C. Rao (1987), Solute transport in undisturbed columns of an aggregated tropical soil: Preferential flow effects, Soil Sci. Soc. Am. J., 51, 1434-1444.
78. Smettem, K. R. J. (1984), Soil-water residence time and solute uptake, J. Hydrol., 67, 235-248.
79. Stager, M. P., and G. P. Perram (1999), Long-term desorption of trichloroethylene from flint clay using multiplexed optical detection, Environ. Poll., 104(3), 397-400.
80. Sudicky, E. A. (1990), The Laplace transform Galerkin technique for efficient time-continuous solution of solute transport in double-porosity media, Geoderma, 46, 209-232.
81. Thorbjarnarson, K. W., and D. M. Mackay (1994a), A forced-gradient experiment on solute transport in the Borden aquifer: 2. Transport and dispersion of the conservative tracer, Water Resour. Res., 30(2), 385-399.
82. Thorbjarnarson, K. W., and D. M. Mackay (1994b), A forced-gradient experiment on solute transport in the Borden aquifer: 3. Nonequilibrium transport of the sorbing organic compounds, Water Resour. Res., 30(2), 401-419.
83. Toride, N., F. J. Leij, and M. T. van Genuchten (1995), The CXTFIT code for estimating transport parameters from laboratory or field tracer experiments, version 2.0, 121 pp., U.S. Salinity Lab., U.S. Dep. of Agric., Riverside, Calif.
84. van Genuchten, M. T. (1985), A general approach for modeling solute transport in structured soils, Mem. Int. Assoc. Hydrogeol., 17(2), 513-526.
85. van Genuchten, M. T., and P. J. Wierenga (1976), Mass transfer studies in sorbing porous media, I, Analytical solutions, Soil Sci. Soc. Am. J., 40(4), 473-480.
86. 2O), Soil Sci. Soc. Am. J., 41, 272-278.
87. van Genuchten, M. T., P. J. Wierenga, and G. A. O'Connor (1977), Mass transfer studies in sorbing porous media: III. Experimental evaluation with 2, 4, 5-T, Soil Sci. Soc. Am. J., 41, 278-285.
88. Villermaux, J. (1974), Deformation of chromatographic peaks under the influence of mass transfer phenomena, J. Chromatogr. Sci., 12, 822-831.
89. Villermaux, J. (1981), Theory of linear chromatography, in Percolation Processes, Theory and Applications, edited by A. E. Rodrigues and D. Tondeur, pp. 83-141, Sijthoff and Noordhoff, Rockville, Mass.
90. Werth, C. J., and K. M. Hansen (2002), Modeling the effects of concentration history on the slow desorption of trichloroethene from a soil at 100% relative humidity, J. Contam. Hydrol., 54(3-4), 307-327.
91. 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(12), 2727-2740.
92. Young, D. F., and W. P. Ball (1995), Effects of column conditions on the first-order rate modeling of nonequilibrium solute breakthrough, Water Resour. Res., 31(9), 2181-2192.
93. Zinn, B., and C. F. Harvey (2003), When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields, Water Resour. Res., 39(3), 1051, doi:10.1029/2001WR001146.