[U. S. Geological Survey]

Chapter 21

Modeling of Isotope and Hydrogeochemical Responses in Catchment Hydrology

Jeffrey V. Turner and Christopher J. Barnes

Isotope Tracers in Catchment Hydrology (1998), C. Kendall and J. J. McDonnell (Eds.)
Elsevier Science B.V., Amsterdam, pp. 723-760.


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Bottomley, D.J., Craig, D. and Johnson, L.M., 1986. Oxygen-18 studies of snowmelt runoff in a small Precambrian shield watershed - Implications for streamwater acidification in acid sensitive terrain. Jour. Hydrol., 88, 213-234.

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Christophersen, N., Kjaernsrod, S. and Rodhe, A., 1984. Preliminary evaluation of flow patterns in the Birkenes catchment using natural oxygen-18 as a tracer. Hydrological and hydrogeochemical mechanisms and model approaches to the acidification of ecological systems, IHP-workshop, Upssala, 29-40.

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DeWalle, D.R., Swistock, B.R. and Sharpe, W.E., 1988. Three component tracer model for stormflow on a small Appalachian forested catchment. Jour. Hydrol., 104: 301-310.

Dinçer, T., Payne, R., Florkowski, T., Martinec, J. and Tongiorgi, E., 1970. Snowmelt runoff from measurements of tritium and oxygen-18. Water Resour. Res., 6: 110-124.

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Hooper, R.P., Stone, A., Christophersen, N., De Grosbois, E. and Seip, H.M., 1988. Assessing the Birkenes model of stream acidification using a multi-signal calibration methodology. Water Resour. Res., 24: 1308-1316.

Jakeman, A.J. and Hornberger, G.M., 1993. How much complexity is needed in a rainfall-runoff model? Water Resour. Res., 29: 2637-2649.

Jakeman, A.J, Littlewood, I.G. and Whitehead, P.G., 1991. Computation of the instananeous unit hydrograph and identifiable component flows with application to two upland catchments. Jour. Hydrol., 117: 275-300.

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Kleissen, F.M., Beck, M.B., and Wheater, H.S., 1990. The identifiability of conceptual hydrogeochemical models. Water Resour. Res., 26: 2979-2992.

Kreft, A. and Zuber, A., 1978. On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions. Chemical Engineering Science, 33: 1471-1480.

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Littlewood, I.G. and Jakeman, A.J., 1991. Hydrograph separation into dominant quick and slow flow components. British Hydrological Society, 3rd National Hydrology Symp., Southhampton, UK, Section 3.9 - 3.16.

Loye-Pilot, M.D. and Jusserand, C., 1990. Decomposition chimique et isotopique d'un hyrdrogramme de crue d'un torrent mediterraneen - reflexions methodologiques. Revue des Sciences de L'eau, 3: 211-231.

Magrita, R., Guizeriux, J., Corompt, P., Gaillard, B., Calmels, P., Mangin, A. and Bakalowicz, M., 1984. Reflections sur la theorie des traceurs: applications en hydrologie isotopique. In: Isotope Hydrology, 1983, Proceedings of an International Symposium on Isotope Hydrology in Water Resources Development. IAEA, Vienna, pp. 653-676.

Maloszewski, P. and Zuber, A., 1982. Determining the turnover time of groundwater systems with the aid of environmental tracers. 1. Models and their applicability. Jour. Hydrol., 57: 207-231.

Maloszewski, P. and Zuber, A., 1992. On the calibration and validation of mathematical models for the interpretation of tracer experiments in groundwater. Advances in Water Resour., 15: 47-62.

Maloszewski, P. and Zuber, A., 1993. Principles and practice of calibration and validation of mathematical models for the interpretation of environmental tracer data in aquifers. Advances in Water Resour., 16: 173-190.

Maloszewski, P., Rauert, W., Stichler, W. and Herrmann, A., 1983. Application of flow models in an alpine catchment area using tritium and deuterium data. Jour. Hydrol., 66: 319-330.

Martinec, J., Siegenthaler, U., Oeschger, H. and Tongiorgi, E., 1974. New insights into the run-off mechanism by environmental isotopes. In: Isotope Techniques in Groundwater Hydrology, Proceedings of an International Symposium, IAEA, Vienna, Austria, 129-143.

McDonnell, J.J., Bonell, M., Stewart, M.K. and Pearce, A.J., 1990a. Deuterium variations in storm rainfall: implications for stream hydrograph separations. Water Resour. Res., 26(3): 455-458.

McDonnell, J.J., Stewart, M.K. and Owens, I.F., 1990b. Effect of catchment-scale subsurface mixing on stream isotopic response. Water Resour. Res., 27 (12): 3065-3073.

Mook, W.G., Groenweld, D.J., Brouwn, A.E. and van Ganwijk, A.J., 1974. Analysis of a runoff hydrograph by means of natural oxygen-18. In: Isotope Techniques in Groundwater Hydrology, Proceedings of an International Symposium. IAEA, Vienna, pp. 145-155.

Moore, R.D., 1989. Tracing runoff sources with deuterium and oxygen-18 during spring melt in a headwater catchment, southern Laurentians, Quebec. Jour. Hydrol., 112: 135-148.

Neal, C. and Rosier, P.T.W., 1990. Chemical studies of chloride and stable oxygen isotopes in two conifer afforested and moorlands in the British uplands. Jour. Hydrol., 115: 269-283.

Niemi, A.J., 1978. Residence time distribution of variable flow processes. International Journal of Applied Radiation and Isotopes, 28: 855-860.

Nyberg, L., 1995. Soil and groundwater distribution, flow paths and transit times in a small till catchment. Comprehensive summaries of Uppsala dissertations from the Faculty of Science and Technology, 97. Ph.D. Thesis, Uppsala University, Acta Universitatis Upsaliensis, Uppsala, 1995, 35 p.

Ogunkoya, O.O. and Jenkins, A., 1993. Analysis of storm hydrograph and flow pathways using a three-component hydrograph separation model. Jour. Hydrol., 142: 71-88.

Pearce, A.J., Stewart, M.K. and Sklash, M.G., 1986. Storm runoff generation in humid headwater catchments. 1. Where does the water come from? Water Resour. Res., 22(8): 1263-1272.

Pinder, G.F. and Jones, J.F., 1969. Determination of the groundwater component of peak discharge from the chemistry of total runoff. Water Resour. Res., 5: 438-445.

Pionke, H.B., Gburek, W.J. and Folmar, G.J., 1993. Quantifying stormflow components in a Pennsylvania watershed when oxygen-18 input and storm conditions vary. Jour. Hydrol., 148: 169-187.

Rodhe, A., 1984. Groundwater contribution to streamflow in Swedish forested till soil as estimated by oxygen-18. In: Isotope Hydrology, IAEA Vienna, SM-270/65, 55-66.

Rodhe A., Nyberg L. and Bishop K. 1996. Transit times in a small till catchment from a step shift in the oxygen-18 content of the water input. Water Resour. Res., 32: 3497-3511.

Robson, A. and Neal, C., 1990. Hydrograph separation using chemical techniques: an application to catchments in mid-Wales. Jour. Hydrol., 116: 345-363.

Robson, A. and Neal, C., 1991. Chemical signals in an upland catchment in mid-Wales - some implications from water movement. British Hydrological Society, 3rd National Hydrology Symp., Southhampton, 3.17-3.24.

Shumway, R.H. and Stoffer, D.S., 1982. An approach to time series smoothing and forecasting using the EM algorithm. Journal of Time Series Analysis, 3: 253-264.

Sklash, M.G., 1990. Environmental isotope studies of storm and snowmelt runoff generation. In: M.G. Anderson and T.P. Burt (Eds), Process studies in hillslope hydrology. John Wiley and Sons, Ltd., pp. 410-435.

Sklash, M.G., Farvolden, R.N. and Fritz, P., 1976. A conceptual model of watershed response to rainfall, developed through the use of oxygen-18 as a tracer. Canadian Journal of Earth Science, 13: 271-283.

Sklash, M.G. and Farvolden, R.N., 1979. The role of groundwater in storm runoff. Jour. Hydrol., 43: 45-65.

Stewart, M.K. and McDonnell, J.J., 1991. Modeling baseflow soil water residence times from deuterium concentrations. Water Resour. Res., 27: 2682-2693.

Swistock, B.R., DeWalle, D.R. and Sharpe, W.E., 1989. Sources of acidic stormflow in an Appalachain headwater stream. Water Resour. Res., 25: 2139-2147.

Tanaka, T., Yasuhara, M., Sakai, H. and Marui, A., 1988. The Hachioji experimental basin study - storm runoff processes and the mechanisms of its generation. Jour. Hydrol., 102: 139-164.

Turner, J.V. and Macpherson, D.K., 1990. Mechanisms affecting streamflow and streamwater quality: an approach via stable isotope, hydrogeochemical and time series analysis. Water Resour. Res., 26: 3005-3019.

Turner, J.V., Macpherson, D.K. and Stokes, R.A., 1987. The mechanisms of catchment flow processes using natural variations in deuterium and oxygen-18. Jour. Hydrol., 94: 143-162.

Turner, J.V., Bradd, J.M. and Waite, T.D., 1991. The conjunctive use of isotopic techniques to elucidate solute concentration and flow processes in dryland salinized catchments. In: Proceedings of the International Symposium on use of Isotope Techniques in Water Resources Development. IAEA, Vienna, pp. 33-59.

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Wels, C., Cornett, J.R. and Lazerte, B.D., 1991. Hydrograph separation: a comparison of geochemical and isotopic tracers. Jour. Hydrol., 122: 253-274.

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Zuber, A., 1986a. Mathematical models for the interpretation of environmental radioisotopes in groundwater systems. In: P. Fritz and J.-Ch. Fontes (Eds), Handbook of Environmental Isotope Geochemistry. Elsevier, Amsterdam, pp. 1-59.

Zuber, A., 1986b. On the interpretation of tracer data in variable flow systems. Jour. Hydrol., 86: 45-57.

Zuber, A., 1994. On calibration and validation of mathematical models for the interpretation of environmental isotope data in aquifers. In: Mathematical models and their application to isotope studies in groundwater hydrology, Proceedings of a final research coordination meeting. IAEA-TECHDOC-777, Vienna, p. 11-41.

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