Water and solute transport along hydrological pathways

Water Resources Research

Volumn 48, Issue 6, 2012, Pages

  Cvetkovic, Vladimir ^a   Carstens, Christoffer ^a   Selroos, Jan Olof ^b   Destouni, Georgia ^c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b SWEDISH NUCLEAR FUEL AND WASTE MANAGEMENT CO   (Sweden)

^c STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTIVE TRANSPORT; CONDITIONAL PROBABILITIES; ERGODICS; LAGRANGIAN; LAGRANGIAN VELOCITY; MASS TRANSFER PROCESS; MATERIAL TRANSPORT; MEMORY FUNCTIONS; SPACE-TIME TRAJECTORY; SPATIAL VARIABILITY; STATISTICAL STRUCTURES; TEMPORAL FLUCTUATION; TEMPORAL VARIABILITY; TIME DISTRIBUTION; VELOCITY VARIATIONS;

LAGRANGE MULTIPLIERS; SOLUTE TRANSPORT;

TRAVEL TIME;

ADVECTION; FLOW MODELING; FLOW VELOCITY; HYDROLOGICAL REGIME; LAGRANGIAN ANALYSIS; MASS TRANSFER; RETENTION; SOLUTE TRANSPORT; TRACER; TRAVEL TIME; VELOCITY PROFILE; WATER FLOW;

EID: 84863446169     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2011WR011367     Document Type: Article

References (87)

1. Beven, K. (1989), Changing ideas in hydrology-the case of physicallybased models, J. Hydrol., 105, 157-172.
2. Beven, K. (2001), Dalton Medal lecture: How far can we go in distributed hydrological modelling? HESS, 5, 1-12. (Pubitemid 32710654)
3. Beven, K. (2009), Environmental Modelling: An Uncertain Future? 310 pp., Routledge, London, U.K.
4. Bosson, E., U. Sabel, L. G. Gustafsson, M. Sassner, and G. Destouni (2012), Influences of shifts in climate, landscape, and permafrost on terrestrial hydrology, J. Geophys. Res., 117, D05120, doi:10.1029/2011JD016429.
5. Botter, G., E. Bertuzzo, A. Bellin, and A. Rinaldo (2005), On the Lagrangian formulations of reactive solute transport in the hydrologic response, Water Resour. Res., 41, W04008, doi:10.1029/2004WR003544. (Pubitemid 40707953)
6. Botter, G., E. Bertuzzo, and A. Rinaldo (2010), Transport in the hydrologic response: Travel time distributions, soil moisture dynamics, and the old water paradox, Water Resour. Res., 46, W03514, doi:10.1029/2009WR008371.
7. Botter, G., E. Bertuzzo, and A. Rinaldo (2011), Catchment residence and travel time distributions: The master equation, Geophys. Res. Lett., 38, L11403, doi:10.1029/2011GL047666.
8. Bresler, E., and G. Dagan (1981), Convective and pore scale dispersive solute transport in unsaturated heterogeneous fields, Water Resour. Res., 17, 1683-1693.
9. Butts, M. B., J. T. Payne, M. Kristensen, and H. Madsen (2004), An evaluation of the impact of model structure on hydrological modelling uncertainty for streamflow simulation, J. Hydrol., 298, 242-266, doi:10.1016/j.jhydrol.2004.03.042. (Pubitemid 39098776)
10. Cornaton, F. J. (2012), Transient water age distributions in environmental flow systems: The time-marching Laplace transform solution technique, Water Resour. Res., 48, W03524, doi:10.1029/2011WR010606.
11. Cvetkovic, V. (1991), Mass arrival of reactive solute in single fractures, Water Resour. Res., 27, 177-183.
12. Cvetkovic, V. (1997), Transport of reactive solutes, in Subsurface Flow and Transport: A Stochastic Approach, edited by G. Dagan and S. Neuman, 99, 133-145 pp., Cambridge Univ. Press, Mass.
13. Cvetkovic, V. (2011a), The tempered one-sided stable density: A universal model for hydrological transport?, Env. Res. Lett., 6, 034008, doi:10.1088/1748-9326/6/3/034008.
14. Cvetkovic, V. (2011b), Tracer attenuation in groundwater, Water Resour. Res., 47, W12541, doi:10.1029/2011WR010999.
15. Cvetkovic, V., and G. Dagan (1994), Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations, J. Fluid Mech., 265, 189-215. (Pubitemid 281541)
16. Cvetkovic, V., and R. Haggerty (2002), Transport with exchange in disordered media, Phys. Rev. E, 65, 051308-051309.
17. Cvetkovic, V., H. Cheng, and X. H. Wen (1996), Analysis of nonlinear effects on tracer migration in heterogeneous aquifers using Lagrangian travel time statistics, Water Resour. Res., 32, 1671-1680.
18. Cvetkovic, V., G. Dagan, and H. Cheng (1998), Contaminat transport in aquifers with spatially variable hydraulic and sorption parameters, Proc. Royal Soc. Lond., Ser. A, 454, 2173-2207. (Pubitemid 128733231)
19. Dagan, G. (1984), Solute transport in heterogeneous porous formations, J. Fluid Mech., 145, 151-177. (Pubitemid 15458995)
20. Dahlke, H. E., Z. M. Easton, S. W. Lyon, M. T. Walter, G. Destouni, and T. S. Steenhuis (2012), Dissecting the variable source area concept: Subsurface flow pathways and water mixing processes in a hillslope, J. Hydrol., 420-421, 125-141, doi:10.1016/j.jhydrol.2011.11.052.
21. Darracq, A., and G. Destouni (2007), Physical versus biogeochemical interpretations of nitrogen and phosphorus attenuation in streams and its dependence on stream characteristics, Global Biogeochem. Cycles, 21, GB3003, doi:10.1029/2006GB002901. (Pubitemid 350201900)
22. Darracq, A., G. Destouni, K. Persson, C. Prieto, and J. Jarsjö (2010), Quantification of advective solute travel times and mass transport through hydrological catchments, Environ. Fluid Mech., 10, 103-120, doi:10.1007/s10652-009-9147-2.
23. Darracq, A., G. Lindgren, and G. Destouni (2008), Long-term development of phosphorus and nitrogen loads through the subsurface and surface water systems of drainage basins, Global Biogeochem. Cycles, 22, GB3022, doi:10.1029/2007GB003022.
24. De Arcangelis, L., J. Koeplik, S. Redner, and D. Wilkinson (1986), Hydrodynamic dispersion in network models of porous media, Phys. Rev. Lett., 57(8), 996-999.
25. Destouni, G. (1991), Applicability of the steady-state flow assumption for solute advection in field soils, Water Resour. Res., 27, 2129-2140.
26. Destouni, G., and V. Cvetkovic (1991), Field-scale mass arrival of sorptive solute into the groundwater, Water Resour. Res., 27, 1315-1325.
27. Destouni, G., and W. Graham (1995), Solute transport through an integrated soil-groundwater system, Water Resour. Res., 31, 1935-1944. (Pubitemid 26445852)
28. Destouni, G., F. Hannerz, C. Prieto, J. Jarsjö, and Y. Shibuo (2008), Small unmonitored near-coastal catchment areas yielding large mass loading to the sea, Global Biogeochem. Cycles, 22, GB4003, doi:10.1029/ 2008GB003287.
29. Destouni, G., K. Persson, C. Prieto, and J. Jarsjö (2010), General quantification of catchment-scale nutrient and pollutant transport through the subsurface to surface and coastal waters, Environ. Sci. Technol., 44(6), 2048-2055, doi:10.1021/es902338y.
30. Dunn, S. M., C. Birkel, D. Tetzlaff, and C. Soulsby (2010), Transit time distributions of a conceptual model: Their characteristics and sensitivities, Hydrol. Processes, 24, 1719-1729.
31. Eriksson, N., and G. Destouni (1997), Combined effects of dissolution kinetics, secondary mineral precipitation, and preferential flow on copper leaching from mining waste rock, Water Resour. Res., 33, 471-483.
32. Fiori, A., and D. Russo (2008), Travel time distribution in a hillslope: Insight from numerical simulations, Water Resour. Res., 44, W12426, doi:10.1029/2008WR007135.
33. Fiori, A., S. Berglund, V. Cvetkovic, and G. Dagan (2002), A first-order analysis of solute flux in aquifers: The combined effect of pore-scale dispersion, sampling and linear sorption kinetics, Water Resour. Res., 38(8), 1137, doi:10.1029/2001WR000678.
34. Foussereau, X., W. Graham, A. Aakpoji, G. Destouni, and P. S. C. Rao (2001), Solute transport through a heterogeneous coupled vadose-saturated zone system with temporally random rainfall, Water Resour. Res., 37(6), 1577-1588, doi:10.1029/2000WR900389. (Pubitemid 32480658)
35. Frampton, A. and V. Cvetkovic (2011), Numerical and analytical modeling of advective travel times in realistic three-dimensional fracture networks, Water Resour. Res., 47, W02506, doi:10.1029/2010WR009290.
36. Freeze, R. A., and R. L. Harlan (1969), Blueprint for a physically-based digitally simulated, hydrologic response model, J. Hydrol., 9, 237-258.
37. Ginn, T. R. (1999), On the distribution of multicomponent mixtures over generalized exposure time in subsurface flow and reactive transport: Foundations, and formulations for groundwater age, chemical heterogeneity, and biodegradation, Water Resour. Res., 35(5), 1395-1407, doi:10.1029/1999WR900013. (Pubitemid 29207975)
38. Ginn, T. R. (2001), Stochastic-convective transport with nonlinear reactions and mixing: Finite streamtube ensemble formulation for multicomponent reaction systems with intra-streamtube dispersion, J. Contam. Hydrol., 47(1), 1-28, doi:10.1016/S0169-7722(00)00167-4.
39. Ginn, T. R., H. Haeri, H. Massoudieh, and L. Foglia (2009), Notes on groundwater age in forward and inverse modeling, Transp. Porous Media, 79(1), 117-134, doi:10.1007/s11242-009-9406-1.
40. Godsey, S. E., et al. (2010), Generality of fractal 1/f scaling in catchment tracer time series, and its implications for catchment travel time distributions, Hydrol. Processes, 24, 16601671, doi:10.1002/hyp.7677.
41. Gotovac, H., V. Cvetkovic, and R. Andricevic (2009), Flow and travel time statistics in highly heterogeneous porous media, Water Resour. Res., 45, W07402, doi:10.1029/2008WR007168.
42. Gupta, A., and V. Cvetkovic (2000), Significance of morphological characteristics for solute discharge in streams,Water Resour. Res., 36, 2985-2997.
43. Gupta, A., and V. Cvetkovic (2002), Material transport from different sources in a network of streams through a catchment, Water Resour. Res., 38(7), 1098, doi:10.1029/2000WR000064.
44. Haitjema, H. M. (1995), On the residence time distribution in idealized ground watersheds, J. Hydrol., 172, 127-146. (Pubitemid 26445839)
45. Hrachowitz, M., C. Soulsby, D. Tetzlaff, I. A. Malcolm, and G. Schoups (2010), Gamma distribution models for transit time estimation in catchments: Physical interpretation of parameters and implications for timevariant transit time assessment, Water Resour. Res., 46, W10536, doi:10.1029/2010WR009148.
46. Hughes, B. (1995) Random Walks and Random Environments, Vol. 1: Random Walks, 654 pp., Clarendon Press, Oxford, U. K.
47. Jobson, H. E. (1997), Predicting travel time and dispersion in rivers and streams, J. Hydraulic Eng., 123, 971-978.
48. Kawasaki, D., and J. H. Ahn (2006), Formulation of time-domain randomwalk compartment model for radionuclide migration from a geologic repository, Nucl. Technol., 163, 137-146.
49. Kirchner, J. W., X. Feng, and C. Neal (2000), Fractal stream chemistry and its implications for contaminant transport in catchments, Nature, 403, 524-527. (Pubitemid 30082193)
50. Kollet, S. J., and R. M. Maxwell (2008) Demonstrating fractal scaling of baseflow residence time distributions using a fully coupled groundwater and land surface model, Geophys. Res. Lett., 35, L07402, doi:10.1029/2008GL033215. (Pubitemid 351858631)
51. Li, Q., A. J. A. Unger, E. A. Sudicky, D. Kassenaar, E. J. Wexler, and S. Shikaze (2008), Simulating the multi-seasonal response of a largescale watershed with a 3D physically-based hydrologic model, J. Hydrol., 357, 317-336, doi:10.1016/j.jhydrol.2008.05.024.
52. Lienhard, J. H. (1964), A statistical mechanical prediction of the dimensionless unit hydrograph, J. Geophys. Res., 69(24), 1964.
53. Lindgren, G., and G. Destouni (2004), Nitrogen loss rates in streams: Scale-dependence and up-scaling methodology, Geophys. Res. Lett., 31, L13501, doi:10.1029/2004GL019996. (Pubitemid 39250765)
54. Lindgren, G. A., G. Destouni, and A. V. Miller (2004), Solute transport through the integrated groundwater-stream system of a catchment, Water Resour. Res., 40, W03511, doi:10.1029/2003WR002765.
55. Loague, K., and J. E. VanderKwaak (2004), Physics-based hydrologic response simulation: pPatinum bridge, 1958 Edsel, or useful tool, Hydrol. Processes, 18, 2949-2956, doi:10.1002/hyp.5737. (Pubitemid 39437693)
56. Loague, K., C. S. Heppner, B. B. Mirus, B. A. Ebel, Q. Ran, A. E. Carr, S. H. BeVille, and J. E. VanderKwaak (2006), Physics-based hydrologicresponse simulation: Foundation for hydroecology and hydrogeomorphology, Hydrol. Processes, 20, 1231-1237, doi:10.1002/hyp.6179.
57. Lyon, S. W., M. Mörth, C. Humborg, R. Giesler, and G. Destouni (2010), The relationship between subsurface hydrology and dissolved carbon fluxes for a sub-arctic catchment, HESS, 14, 941-950.
58. Malmström, M., G. Destouni, and P. Martinet (2004), Modeling expected solute concentration in randomly heterogeneous flow systems with multi-component reactions, Environ. Sci. Technol., 38, 2673-2679. (Pubitemid 38579868)
59. Marklund, L., A. Wörman, J. Geier, E. Simic, and B. Bverstorp (2008), Impact of landscape topography and quaternary overburden on the performance of a geological repository of nuclear waste, Nucl. Technol., 163, 165-179.
60. McDonnell, J. J., et al. (2010), How old is streamwater? Open questions in catchment transit time conceptualization, modelling and analysis, Hydrol. Processes, 24, 1745-1754, doi:10.1002/hyp.7796.
61. McGuire, K. J., and J. J. McDonnell (2006), A review and evaluation of catchment transit time modeling, J. Hydrol., 330, 543-563. (Pubitemid 44573195)
62. McGuire, K. J., J. J. McDonnell, M. Weiler, C. Kendall, B. L. McGlynn, J. M. Welker, and J. Seibert (2005), The role of topography on catchment-scale water residence time, Water Resour. Res., 41, W05002, doi:10.1029/2004WR003657. (Pubitemid 40856452)
63. Nash, J. E. (1959), Systematic determination of unit hydrograph parameters, J. Geophys. Res., 64(1), 111-115.
64. Nauman, E. N. (1969), Residence time distribution theory for unsteady stirred tank reactors, Chem. Eng. Sci., 24, 461-1470.
65. Niemi, A. J. (1977), Residence time distributions of variable flow processes, Appl. Radiat. Isot., 28, 855-860. (Pubitemid 8222740)
66. Painter, S., V. Cvetkovic, and J.-O. Selroos (1998), Transport and retention in fractured rock: Consequences of a power-law distribution for fracture lengths, Phys. Rev. E, 57(6), 6917.
67. Painter, S., V. Cvetkovic, and J.-O. Selroos (2002), Power-law velocity distributions in fracture networks: Numerical evidence and implications for tracer transport, Geophys. Res. Lett., 29(14), 1676, doi:10.1029/2002GL014960.
68. Painter, S., V. Cvetkovic, J. Mancillas, and O. Pensado (2008), Time domain particle tracking methods for simulating transport with retention and first-order transformation, Water Resour. Res., 44, W01406, doi:10.1029/ 2007WR005944. (Pubitemid 351304131)
69. Persson, K., and G. Destouni (2009), Propagation of water pollution uncertainty and risk from the subsurface to the surface water system of a catchment, J. Hydrol., 377, 434-444, doi:10.1016/j.hydrol.2009.09.001.
70. Persson, K., J. Jarsjö, and G. Destouni (2011), Diffuse hydrological mass transport through catchments: Scenario analysis of coupled physical and biogeochemical uncertainty effects, Hydrol. Earth Syst. Sci., 15, 3195-3206, doi:10.5194/hess-15-3195-2011.
71. Rainwater, K., W. R. Wise, and R. J. Charbeneau (1987), Parameter estimation through groundwater tracer tests, Water Resour. Res., 23, 1901-1910.
72. Refsgaard, J. C., J. P. van der Sluijs, J. Brown, and P. van der Keur (2006), A framework for dealing with uncertainty due to model structure error, Adv. Water Resour., 29, 1586-1597. (Pubitemid 44341076)
73. Rinaldo, A., and A. Marani (1987), Basin scale-model of solute transport, Water Resour. Res., 23(11), 2107-2118, doi:10.1029/WR023i011p02107.
74. Rinaldo, A., and I. Rodriguez-Iturbe (1996), Geomorphological theory of the hydrological response, Hydrol. Processes, 10, 803-829.
75. Rinaldo, A., M. Marani, and A. Bellin (1989), On mass response functions, Water Resour. Res., 25(7), 1603-1617. (Pubitemid 20398959)
76. Rinaldo, A., A. Marani, and R. Rigon (1991), Geomorphological dispersion, Water Resour. Res., 27(4), 513-525, doi:10.1029/90WR02501.
77. Rinaldo, A., G. Botter, E. Bertuzzo, A. Uccelli, T. Settin, and M. Marani (2006), Transport at basin scales: 1. Theoretical framework. Hydrol. Earth Sys. Sci., 10(1), 19-29. (Pubitemid 43286039)
78. Rinaldo, A., K. J. Beven, E. Bertuzzo, L. Nicotina, J. Davies, A. Fiori, D. Russo, and G. Botter (2011), Catchment travel time distributions and water flow in soils, Water Resour. Res., 47, W07537, doi:10.1029/2011WR010478.
79. Roa-Garcia, M. C., and M. Weiler (2010), Integrated response and transit time distributions of watersheds by combining hydrograph separation and long-term transit time modeling, Hydrol. Earth Syst. Sci., 14, 1537-1549.
80. Rodhe, A., L. Nyberg, and K. Bishop (1996), Transit times for water in a small till catchment from a step shift in the oxygen18 content of the water input, Water Resour. Res., 32(12), 3497-3511.
81. Russo, D., and A. Fiori (2008), Equivalent vadose zone steady state flow: An assessment of its capability to predict transport in a realistic combined vadose zonegroundwater flow system, Water Resour. Res., 44, W09436, doi:10.1029/2007WR006170.
82. Shapiro, A., and V. Cvetkovic (1988), Stochastic analysis of solute travel time in heterogeneous porous media, Water Resour. Res., 24, 1711-1718. (Pubitemid 19299573)
83. Simic, E., and G. Destouni (1999), Water and solute residence times in a catchment: Stochastic model interpretation of 18O transport, Water Resour. Res., 35, 2109-2119. (Pubitemid 29311643)
84. Sudicky, E. A., J. P. Jones, Y. J. Park, A. E. Brookfield, and D. Colautti (2008), Simulating complex flow and transport dynamics in an integrated surface-subsurface modeling framework, Geosci. J., 12, 107-122, doi:10.1007/s12303-008-0013-x.
85. VanderKwaak, J. E., and K. Loague (2001), Hydrologic-response simulations for the R-5 catchment with a comprehensive physics-based model, Water Resour. Res., 37, 999-1013. (Pubitemid 32516053)
86. Villermaux, J. (1974), Deformation of chromatographic peaks under the influence of mass transfer phenomenon, J. Chromatographic Sci., 12, 822-831.
87. Wörman, A., A. I. Packman, L. Marklund, J. W. Harvey, and S. H. Stone (2007), Fractal topography and subsurface water flows from fluvial bedforms to the continental shield, Geophys. Res. Lett., 34, L07402, doi:10.1029/2007GL029426. (Pubitemid 46957873)