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<front>
<journal-meta>
<journal-id journal-id-type="publisher">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/hess-17-1217-2013</article-id>
<title-group>
<article-title>Calibration of a transient transport model to tritium data in streams and simulation of groundwater ages in the western Lake Taupo catchment, New Zealand</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gusyev</surname>
<given-names>M. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Toews</surname>
<given-names>M.</given-names>
<ext-link>https://orcid.org/0000-0003-3657-7963</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Morgenstern</surname>
<given-names>U.</given-names>
<ext-link>https://orcid.org/0000-0001-9821-9737</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Stewart</surname>
<given-names>M.</given-names>
<ext-link>https://orcid.org/0000-0001-8636-4152</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>White</surname>
<given-names>P.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Daughney</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hadfield</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>GNS Science, P.O. Box 30368, Lower Hutt, New Zealand</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Aquifer Dynamics &amp; GNS Science, P.O. Box 30368, Lower Hutt, New Zealand</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Waikato Regional Council, P.O. 3038, Hamilton, New Zealand</addr-line>
</aff>
<pub-date pub-type="epub">
<day>19</day>
<month>03</month>
<year>2013</year>
</pub-date>
<volume>17</volume>
<issue>3</issue>
<fpage>1217</fpage>
<lpage>1227</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 M. A. Gusyev et al.</copyright-statement>
<copyright-year>2013</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://hess.copernicus.org/articles/17/1217/2013/hess-17-1217-2013.html">This article is available from https://hess.copernicus.org/articles/17/1217/2013/hess-17-1217-2013.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/17/1217/2013/hess-17-1217-2013.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/17/1217/2013/hess-17-1217-2013.pdf</self-uri>
<abstract>
<p>Here we present a general approach of calibrating transient transport models
to tritium concentrations in river waters developed for the MT3DMS/MODFLOW
model of the western Lake Taupo catchment, New Zealand. Tritium has a known
pulse-shaped input to groundwater systems due to the bomb tritium in the
early 1960s and, with its radioactive half-life of 12.32 yr, allows for
the determination of the groundwater age. In the transport model, the
tritium input (measured in rainfall) passes through the groundwater system, and
the simulated tritium concentrations are matched to the measured tritium
concentrations in the river and stream outlets for the Waihaha, Whanganui,
Whareroa, Kuratau and Omori catchments from 2000–2007. For the Kuratau
River, tritium was also measured between 1960 and 1970, which allowed us to
fine-tune the transport model for the simulated bomb-peak tritium
concentrations. In order to incorporate small surface water features
in detail, an 80 m uniform grid cell size was selected in the
steady-state MODFLOW model for the model area of 1072 km&lt;sup&gt;2&lt;/sup&gt;.
The groundwater flow model was first calibrated to groundwater levels and
stream baseflow observations. Then, the transient tritium transport MT3DMS model was
matched to the measured tritium concentrations in streams and rivers, which
are the natural discharge of the groundwater system. The tritium
concentrations in the rivers and streams correspond to the residence time of
the water in the groundwater system (groundwater age) and mixing of water
with different age. The transport model output showed a good agreement with
the measured tritium values. Finally, the tritium-calibrated MT3DMS model is
applied to simulate groundwater ages, which are used to obtain groundwater
age distributions with mean residence times (MRTs) in streams and rivers for
the five catchments. The effect of regional and local hydrogeology on the
simulated groundwater ages is investigated by demonstrating groundwater ages
at five model cross-sections to better understand MRTs simulated with
tritium-calibrated MT3DMS and lumped parameter models.</p>
</abstract>
<counts><page-count count="11"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Abrams, D.: Generating nitrate response functions for large regional watersheds, PhD Thesis, Indiana University, Bloomingon, p.&amp;nbsp;85, 2012.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bear, J. and Cheng, A. H.-D.: Modelling groundwater flow and contaminant transport, Theory and Applications of Transport in Porous Media, Vol. 23, p.&amp;nbsp;834, 2010.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Boronina, A., Renard, P., Balderer, W., and Stichler, W.: Application of tritium in precipitation and in groundwater of the Kouris catchment (Cyprus) for description of the regional groundwater flow, Appl. Geochem., 20, 1292–1308, &lt;a href=&quot;http://dx.doi.org/10.1016/j.apgeochem.2005.03.007&quot;&gt;https://doi.org/10.1016/j.apgeochem.2005.03.007&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Doherty, J.: PEST, Model-independent parameter estimation – User manual (5th Ed., with slight additions). Brisbane, Australia, Watermark Numerical Computing, 2010.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Ebel, B. A., Loague, K., Montgomery, D. R., and Dietrich, W. E.: Physics based continuous simulation of long-term near-surface hydrologic response for the Coos Bay experimental catchment, Water Resour. Res., 44, W07417. &lt;a href=&quot;http://dx.doi.org/10.1029/2007WR006442&quot;&gt;https://doi.org/10.1029/2007WR006442&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Eberts, S. M., Böhlke, J. K., Kauffman, L. J., and Jurgens, B. C.: Comparison of particle-tracking and lumped-parameter age-distribution models for evaluating vulnerability of production wells to contamination, Hydrogeol. J., 20, 263–282, &lt;a href=&quot;http://dx.doi.org/10.1007/s10040-011-0810-6&quot;&gt;https://doi.org/10.1007/s10040-011-0810-6&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Fienen, M., Hunt, R. J., Krabbenhoft, D. P., and Clemo, T.: Obtaining parsimonious hydraulic conductivity fields using head and transport observation: A Bayesian geostatistical parameter estimation approach, Water Resour. Res., 45, W08405, &lt;a href=&quot;http://dx.doi.org/10.1029/2008WR007431&quot;&gt;https://doi.org/10.1029/2008WR007431&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Haitjema, H. M.: On the residence time distributions in groundwatersheds, J. Hydrol., 172, 127–146, 1995.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Haitjema, H. M., Feinstein, D. T., Hunt, R. J., and Gusyev, M. A.: A hybrid finite-difference and analytic element groundwater model, Groundwater, 48,  538–548, 2010.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Harbaugh, A. W.: A Computer Program for Calculating Subregional Water Budgets Using Results from the U.S. Geological Survey Modular Three-dimensional Finite-difference Ground-water Flow Model, Open-File Report 90-392, US Geological Survey, 1990.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Harbaugh, A. W., Banta, E. R., Hill, M. C., and McDonald, M. G.: MODFLOW-2000, the U.S. Geological Survey modular ground-water model – User guide to modularization concepts and the Ground-Water Flow Process, Open-File Report 00-92, US Geological Survey, 2000.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Hunt, R. J., Feinstein, D. T., Pint, C. D., and Anderson, M. P.: The importance of diverse data types to calibrate a watershed model of the Trout Lake Basin, Northern Wisconsin, USA, J. Hydrol., 321, 286–296, 2006.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Krabbenhoft, D. P., Anderson, M. P., and Bowser, K. J.: Estimating Groundwater Exchange With Lakes 2. Calibration of a Three-Dimensional, Solute Transport Model to a Stable Isotope Plume, Water Resour. Res., 26, 2455–2462, 1990.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Loague, K., Heppner, C. S., Abrams, R. H., Carr, A. E., VanderKwaak, J. E., and Ebel, B. A.: Further testing of the integrated hydrology model (InHM): Event-based simulations for a small rangeland catchment located near Chickasha, Oklahoma, Hydrol. Process., 19, 2949–2956, 2005.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Maloszewski, P. and Zuber, A.: Determining the turnover time of groundwater systems with the aid of environmental tracers 1. Models and their applicability, J. Hydrol., 57, 207–231, 1982.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">McDonald, M. D. and Harbaugh, A. W.: A modular three-dimensional finite-difference flow model. Techniques of Water Resources Investigations of the US Geological Survey, Book 6., 1988.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">McDonnell, J. 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 streamwater? Open questions in catchment transit time conceptualization, modelling and analysis, Hydrol. Process.,  24, 1745–1754, 2010.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">McGuire, K. J. and McDonnell, J. J.: A review and evaluation of catchment transit time modelling, J. Hydrol., 330, 543–563, 2006.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">McMahon, P. B., Carney C. P., Poeter, E. P., and Peterson, S. M.: Use of geochemical, isotopic, and age tracer data to develop models of groundwater flow for the purpose of water management, northern High Plains aquifer, USA, Appl. Geochem., 25, 910–922, 2010.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Morgenstern, U.:  Lake Taupo streams – Water age distribution, fraction of landuse impacted water, and future nitrogen load. Environment Waikato Technical Report TR 2007/26, Document {#}1194728, p.&amp;nbsp;28, 2007.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Morgenstern, U. and Taylor, C. B.: Ultra Low-level tritium measurement using electrolytic enrichment and LSC, Isotopes in Environmental and Health Studies, 45,  96–117, 2009.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Morgenstern, U., Stewart, M. K., and Stenger, R.: Dating of streamwater using tritium in a post nuclear bomb pulse world: continuous variation of mean transit time with streamflow, Hydrol. Earth Syst. Sci., 14, 2289–2301, &lt;a href=&quot;http://dx.doi.org/10.5194/hess-14-2289-2010&quot;&gt;https://doi.org/10.5194/hess-14-2289-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Neville, C. J.: Solute Transport in Fracture-porous media dual porosity simulations with MT3D, Technical Report, S. S Papadopulos and Associates, Inc., 1–11, 2006.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Pint, C. D., Hunt, R. J., and Anderson, M. P.: Flowpath Delineation and Ground Water Age, Allequash Basin, Wisconsin, Groundwater, 41, 895–902, 2003.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Pollock, D. W.: User&apos;s Guide for MODPATH/MODPATH-PLOT, Version 3: A particle tracking post-processing package for MODFLOW, the US Geological Survey finite-difference ground-water flow model, US Geological Survey Open-File Report, 94–464, 249&amp;nbsp;pp., 1994.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Sanford, W.: Recharge and groundwater models: an overview, Hydrogeol. J., 10, 110–120, &lt;a href=&quot;http://dx.doi.org/10.1007/s10040-001-0173-5&quot;&gt;https://doi.org/10.1007/s10040-001-0173-5&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Schlumberger Water Services (SWS): Visual MODFLOW User&apos;s Manual, Version 2010.1, p.&amp;nbsp;676, 2010.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Starn, J. J., Bagtzoglou, A. C., and Robbins, G. A.: Using atmospheric tracers to reduce uncertainty in groundwater recharge areas, Groundwater, 48, 858–868, &lt;a href=&quot;http://dx.doi.org/10.1111/j.1745-6584.2010.00674.x&quot;&gt;https://doi.org/10.1111/j.1745-6584.2010.00674.x&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Stichler, W., Maloszewski, P., Bertleff, B., and Watzel, R.: Use of environmental isotopes to define the capture zone of a drinking water supply situated near a dredged lake, J. Hydrol., 362, 220–223, 2008.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Stewart, M. K., Morgenstern, U., McDonnell, J. J., and Pfister, L.: The &quot;hidden streamflow&quot; challenge in catchment hydrology: a call to action for stream water transit time analysis, invited Commentary, Hydrol. Process., 26, 2061–2066, 2012.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Szabo, Z., Rice, D. E., Plummer, L. N., Busenberg, E., and Drenkard, S.: Age dating of shallow groundwater with chlorofluorocarbons, tritium helium 3, and flow path analysis, southern New Jersey coastal plain., Water Resour. Res., 32, 1023–1038, &lt;a href=&quot;http://dx.doi.org/10.1029/96WR00068&quot;&gt;https://doi.org/10.1029/96WR00068&lt;/a&gt;, 1996.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Tait, A. and Woods, R. A.: Spatial interpolation of daily potential evapotranspiration for New Zealand using a spline model, J. Hydrometeorol., 8, 430–438, 2006.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Tait, A., Henderson, R. D., Turner, R., and Zheng, X.: Spatial interpolation of daily rainfall for New Zealand, Int. J. Climatol., 26,  2097–2115, 2006.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Vant, B. and Smith, P.: Nutrient concentrations and groundwater ages in 11 streams flowing into Lake Taupo, Environment Waikato Technical Report 2002/18R, Doc {#}767068, p.&amp;nbsp;18, 2002.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Walker, J. F., Saad, D. A., and Hunt, R. J.: Dynamics of CFCs in northern temperate lakes and adjacent groundwater, Water Resour. Res., 43, W04423, &lt;a href=&quot;http://dx.doi.org/10.1029/2005WR004647&quot;&gt;https://doi.org/10.1029/2005WR004647&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">White, P. A., Tschritter, C., and Jebbour, N.: Geological model of the Taupo Volcanic Zone. Geological Society of New Zealand Conference, Oamaru, 2009.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Zheng, C.: MT3DMS v. 5.2 Supplementary User&apos;s Guide, Technical Report, University of Alabama, p.&amp;nbsp;41, 2006.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Zheng, C.: Recent developments and future directions for MT3MS and related transport codes, Groundwater, 49, 620–625, 2009.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Zheng, C. and Wang, P. P.: MT3DMS: a modular three-dimensional multispecies transport model for simulation of advection, dispersion, and chemical reactions of contaminants in groundwater systems: documentation and user&apos;s guide, Report SERDP-99-1, p.&amp;nbsp;221, 1999.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Zoellman, K., Kinzellbach, W., and Fulda, C.: Environmental tracer transport (3H and SF6) in the saturated and unsaturated zones and its use in nitrate pollution management, J. Hydrol., 240, 187–205, 2001.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Zuber, A., Witczak, S., Rozanski, K., Sliwka, I., Opoka, M., Mochalski, P., Kuc, T.,  Karlikowska, J., Kania, J., Jackowicz-Korczynski, M., and Dulinski, M.: Groundwater  dating with 3H and SF6 in relation to mixing patterns, transport modelling and  hydrochemistry, Hydrol. Process., 19, 2247–2275, 2005.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Zuber, A., Kania, J., Rozanski, K., and Purtschert, R.: On some methodological problems in the use of environmental tracers to estimate hydrogeologic parameters and to calibrate flow and transport models, Hydrogeol. J., 19, 53–69, 2011.</mixed-citation>
</ref>
</ref-list>
</back>
</article>