A generalized Damköhler number for classifying material processing in hydrological systems

Hydrology and Earth System Sciences

Volumn 17, Issue 3, 2013, Pages 1133-1148

  Oldham, C E ^a   Farrow, D E ^b   Peiffer, S ^c  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b MURDOCH UNIVERSITY   (Australia)

^c UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; LAND USE; RUNOFF; WATER MANAGEMENT;

BIOGEOCHEMICAL PROCESS; DYNAMIC BALANCE; GAIN INSIGHT; HYDROLOGICAL CYCLES; HYDROLOGICAL SYSTEM; MATERIAL PROCESSING; MATERIAL TRANSFORMATION; SPATIAL SCALE;

CATCHMENTS;

ADVECTION; CATCHMENT; ESTIMATION METHOD; HYDROGEOLOGY; HYDROLOGICAL CYCLE; POLLUTANT TRANSPORT; TIMESCALE; WATER MANAGEMENT;

EID: 84887832588     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-17-1133-2013     Document Type: Article

References (60)

1. Ali, G. A. and Roy, A. G.: Shopping for hydrologically representative connectivity metrics in a humid temperate forested catchment, Water Resour. Res., 46, 1-24, doi:10.1029/2010WR009442, 2010.
2. Asarita, G.: Mass transfer and chemical reactions, Elsevier, Amsterdam, 1967.
3. Baccini, P.: Phosphate interactions at the sediment-water interface, in: Chemical Processes in Lakes, edited by: Stumm, W., Wiley Online Library, 1985.
4. Basu, N. B., Rao, P. S. C., Thompson, S. E., Loukinova, N. V., Donner, S. D., Ye, S., and Sivapalan, M.: Spatiotemporal averaging of in-stream solute removal dynamics, Water Resour. Res., 47, W00J06, doi:10.1029/2010WR010196, 2011a.
5. Basu, N. B., Thompson, S. E., and Rao, P. S. C.: Hydrologic and biogeochemical functioning of intensively managed catchments: A synthesis of top-down analyses, Water Resour. Res., 47, W00J15, doi:10.1029/2011WR010800, 2011b.
6. Battiato, I. and Tartakovsky, D. M.: Applicability regimes for macroscopic models of reactive transport in porous media, J. Contam. Hydrol., 120-121, 18-26, doi:10.1016/j.jconhyd.2010.05.005, 2011.
7. Beven, K. J.: Rainfall-runoff modelling: The primer, Wiley, New York, 2001.
8. Blodau, C.: A review of acidity generation and consumption in acidic coal mine lakes and their watersheds, Sci. Total Environ., 369, 307-332, 2006.
9. Bolster, D., de Anna, P., Benson, D. A., and Tartakovsky, A. M.: Incomplete mixing and reactions with fractional dispersion, Adv. Water Resour., 37, 86-93, doi:10.1016/j.advwatres.2011.11.005, 2012.
10. Botter, G., Bertuzzo, E., and Rinaldo, A.: Transport in the hydro-logic response: Travel time distributions, soil moisture dynamics, and the old water paradox, Water Resour. Res., 46, 1-18, doi:10.1029/2009WR008371, 2010.
11. Botter, G., Bertuzzo, E., and Rinaldo, A.: Catchment residence and travel time distributions: The master equation, Geophys. Res. Lett., 38, 1-6, doi:10.1029/2011GL047666, 2011.
12. Burton, E., Bush, R., and Sullivan, L.: Sedimentary iron geochemistry in acidic waterways associated with coastal lowland acid sulfate soils, Geochim. Cosmochim. Acta, 79, 5455-5468, 2006.
13. Carleton, J. N.: Damkohler number distributions and constituent removal in treatment wetlands, Ecol. Eng., 19, 233-248, 2002.
14. Cirpka, O. A. and Attinger, S.: Effective dispersion in heterogeneous media under random transient flow conditions, Water Re-sour. Res., 39, 1-15, doi:10.1029/2002WR001931, 2003.
15. Dankwerts, P. V.: Absorption by simultaneous diffusion and chemical reaction into particles of various shapes and into falling drops, Trans. Faraday Soc., 47, 1014-1023, 1951.
16. Detty, J. M. and McGuire, K. J.: Topographic controls on shallow groundwater dynamics: implications of hydrologic connectivity between hillslopes and riparian zones in a till mantled catchment, Hydrol. Process., 24, 2222-2236, doi:10.1002/hyp.7656, 2010.
17. Dooge, J. C. I.: Looking for hydrologic laws, Water Resour. Res., 22, 46-58, 1986.
18. Fleckenstein, J., Neumann, C., Volze, N., and Beer, J.: Raumzeitmuster des Grundwasser-Seeaustausches in einem Tagebaurestsee, Grundwasser, 14, 207-217, 2009.
19. Gelhar, L. W. L., Welty, C., and Rehfeldt, K. R. K.: A critical review of data on field-scale dispersion in aquifers, Water Resour. Res., 28, 1955-1974, 1992.
20. Gramling, C. M., Harvey, C. F., and Meigs, L. C.: Reactive transport in porous media: a comparison of model prediction with laboratory visualization, Environ. Sci. Technol., 36, 2508-2514, 2002.
21. Gunderson, L. H.: Ecological resilience-in theory and application, Annu. Rev. Ecol. Syst., 31, 425-439, 2000.
22. Hastings, A.: Timescales, dynamics and ecological understanding, Ecology, 91, 3471-3480, 2010.
23. Hornberger, G. M., Scanlon, T. M., and Raffensperger, J. P.: Modelling transport of dissolved silica in a forested headwater catchment: the effect of hydrological and chemical time scales on hysteresis in the concentration-discharge relationship, Hydrol. Process., 15, 2029-2038, doi:10.1002/hyp.254, 2001.
24. Hrachowitz, M., Soulsby, C., Tetzlaff, D., Malcolm, I. A., and Schoups, G.: Gamma distribution models for transit time estimation in catchments: Physical interpretation of parameters and implications for time-variant transit time assessment, Water Re-sour. Res., 46, doi:10.1029/2010WR009148, 2010.
25. Huston, M. A.: Biological diversity: The coexistence of species on changing landscapes, Cambridge University Press, Cambridge, 1994.
26. Inamdar, S. P., Christopher, S. F., and Mitchell, M. J.: Export mechanisms for dissolved organic carbon and nitrate during summer storm events in a glaciated forested catchment in New York, USA, Hydrol. Process., 18, 2651-2661, doi:10.1002/hyp.5572, 2004.
27. Johnston, S., Keene, A., Bush, R., Sullivan, L., and Wong, V.: Tidally driven water column hydro-geochemistry in a remediating acidic wetland, J. Hydrol., 409, 128-139, 2011.
28. Kirby, C., Thomas, H., Southam, G., and Donald, R.: Relative contributions of abiotic and biological factors in Fe(II) oxidation in mine drainage, Appl. Geochem., 14, 511-530, 1999.
29. Klein, C., Wilson, K., Watts, M., Stein, J., Berry, S., Carwardine, J., Smith, M. S., Mackey, B., and Possingham, H.: Incorporating ecological and evolutionary processes into continental-scale conservation planning, Ecol. Appl., 19, 206-217, 2009.
30. Knorr, K.-H.: DOC-dynamics in a small headwater catchment as driven by redox fluctuations and hydrological flow paths-are DOC exports mediated by iron reduction/oxidation cycles?, Bio-geosciences, 10, 891-904, doi:10.5194/bg-10-891-2013, 2013.
31. Kurtz, W., and Peiffer, S.: The role of transport in aquatic redox chemistry, in: Aquatic Redox Chemistry, edited by: Tratnyek, P. G., Grundl, T. J., and Haderlein, S. B., American Chemical Society, Washington DC, USA, 559-580, 2011.
32. Llang, L., McNabb, J. A., Paulk, J. M., Guy, B., and McCarthy, J. F.: Kinetics of Fe(I1) oxygenation at low partial pressure of oxygen in the presence of natural organic matter, Environ. Sci. Technol., 27, 1864-1870, 1993.
33. McDonnell, J., McGuire, K., Aggarwal, P., Beven, K., Biondi, D., Destouni, G., Dunn, S., James, A., Kirchner, J., Kraft, P., Lyon, S., Maloszewski, P., Newman, B., Pfister, L., Rinaldo, A., Rodhe, A., Sayama, T., Seibert, J., Solomon, K., Soulsby, C., Stewart, M., Tetzlaff, D., Tobin, C., Troch, P., Weiler, M., Western, A., Wörman, A., and Wrede, S.: How old is streamwa-ter? Open questions in catchment transit time conceptualization, modelling and analysis, Hydrol. Process., 24, 1745-1754, doi:10.1002/hyp.7796, 2010.
34. McDonnell, J., Sivapalan, M., Vaché, K., Dunn, S., Grant, G., Hag-gerty, R., Hinz, C., Hooper, R., Kirchner, J., Roderick, M., Selker, J., and Weiler, M.: Moving beyond heterogeneity and process complexity: A new vision for watershed hydrology, Water Re-sour. Res., 43, 1-6, doi:10.1029/2006WR005467, 2007.
35. McGuire, K. and McDonnell, J.: A review and evaluation of catchment transit time modeling, J. Hydrol., 330, 543-563, doi:10.1016/j.jhydrol.2006.04.020, 2006.
36. Meerkerk, A. L., Van Wesemael, B., and Bellin, N.: Application of connectivity theory to model the impact of terrace failure on runoff in semi-arid catchments, Hydrol. Process., 23, 2792-2803, doi:10.1002/hyp.7376, 2009.
37. Michaelides, K. and Chappell, A.: Connectivity as a concept for characterising hydrological behaviour Definitions of Connectivity, Hydrol. Process., 522, 517-522, doi:10.1002/hyp.7214, 2009.
38. Michalak, A. and Kitanidis, P.: Macroscopic behavior and random-walk particle tracking of kinetically sorbing solutes, Water Re-sour. Res., 36, 2133-2146, doi:10.1029/2000WR900109, 2000.
39. Nath, B., Lillicrap, A., Ellis, L., Boland, D., and Old-ham, C.: Hydrological and chemical connectivity dynamics in a groundwater-dependent ecosystem impacted by acid sulfate soils, Water Resour. Res., 49, 441-457, doi:10.1029/2012WR012760, 2013.
40. Ocampo, C. J., Oldham, C. E., and Sivapalan, M.: Nitrate attenuation in agricultural catchments: Shifting balances between transport and reaction, Water Resour. Res., 42, 1-16, doi:10.1029/2004wr003773, 2006.
41. Opperman, J. J., Luster, R., McKenney, B. A., Roberts, M., and Meadows, A. W.: Ecologically Functional Floodplains: Connectivity, Flow Regime, and Scale, J. American Water Resour. Assoc., 46, 211-226, doi:10.1111/j.1752-1688.2010.00426.x, 2010.
42. Park, S. S. and Jaffe, P. R.: Development of a sediment redox potential model for the assessment of post-depositional metal mobility, Ecol. Model., 91, 169-181, 1995.
43. Peine, A., Tritschler, A., Kusel, K., and Peiffer, S.: Electron flow in an iron-rich acidic sediment-evidence for an acidity-driven iron cycle, Limnol. Oceanogr., 45, 1077-1087, 2000.
44. Pesic, B., Oliver, D., and Wichlacz, P. An electrochemical method of measuring the oxidation rate of ferrous to ferric iron with oxygen in the presence of Thiobacillus ferrooxidans, Biotechnol. Bioeng., 33, 428-439, 1989.
45. Pringle, C.: The need for a more predictive understanding of hydrologic connectivity, Aquat. Conserv., 13, 467-471, doi:10.1002/aqc.603, 2003a.
46. Pringle, C.: What is hydrologic connectivity and why is it ecologically important?, Hydrol. Process., 17, 2685-2689, doi:10.1002/hyp.5145, 2003b.
47. Prommer, H., Tuxen, N., and Bjerg, P.: Fringe-controlled natural attenuation of phenoxy acids in a landfill plume: integration of field-scale processes by reactive transport modeling, Environ. Sci. Technol., 40, 4732-4738, 2006.
48. Raiswell, R. and Canfield, D.: The iron biogeochemical cycle past and present, Geochem. Perspect., 1, 1-232, 2012.
49. Schäfer, D., Schäfer, W., and Kinzelbach, W.: Simulation of reactive processes related to biodegradation in aquifers 1. Structure of the three-dimensional reactive transport model, J. Contam. Hydrol., 31, 167-186, 1998.
50. Scheffer, M. and Carpenter, S. R.: Catastrophic regime shifts in ecosystems: linking theory to observation, Trends Ecol. Evol., 18, 648-656, doi:10.1016/j.tree.2003.09.002, 2003.
51. Stumm, W. and Lee, G.: Oxygenation of Ferrous Iron, Indust. Eng. Chem. Res., 53, 143-146, 1961.
52. Stumm, W. and Morgan, J. J.: Aquatic chemistry: chemical equilibria and rates in natural waters, John Wiley & Sons Inc., New York, USA, 1996.
53. Tetzlaff, D., Soulsby, C., Bacon, P. J., and Youngson, A. F.: Connectivity between landscapes and riverscapes-a unifying theme in integrating hydrology and ecology in catchment science?, Hy-drol. Process., 1389, 1385-1389, 2007.
54. Thompson, S. E., Harman, C. J., Troch, P. A., Brooks, P. D., and Sivapalan, M.: Spatial scale dependence of ecohydrologi-cally mediated water balance partitioning: A synthesis framework for catchment ecohydrology, Water Resour. Res., 47, 1-20, doi:10.1029/2010WR009998, 2011a.
55. Thompson, S. E., Basu, N. B., Lascurain, J., Aubeneau, A., and Rao, P. S. C.: Relative dominance of hydrologic versus biogeo-chemical factors on solute export across impact gradients, Water Resour. Res., 47, W00J05, doi:10.1029/2010WR009605, 2011b.
56. Todd, D. and Mays, L.: Groundwater Hydrology, John Wiley & Sons, Chichester, 2005.
57. Vaché, K. B. and McDonnell, J. J.: A process-based rejectionist framework for evaluating catchment runoff model structure, Water Resour. Res., 42, 1-15, doi:10.1029/2005WR004247, 2006.
58. Wehrer, M. and Totsche, K. U.: Detection of non-equilibrium contaminant release in soil columns: Delineation of experimental conditions by numerical simulations, J. Plant Nutr. Soil Sci., 166, 475-483, doi:10.1002/jpln.200321095, 2003.
59. Werner, T. M. and Kadlec, R. H.: Wetland residence time distribution modeling, Science, 15, 77-90, 2000.
60. Zehnder, A. and Stumm, W.: Geochemistry and biogeochemistry of anaerobic habitats, in: Biology of Anaerobic Organisms, edited by: Zehnder, A., Wiley, New York, 1-38, 1988.