Nitrate vulnerability projections from Bayesian inference of multiple groundwater age tracers
Abstract
Nitrate is a major source of contamination of groundwater in the United States and around the world. We tested the applicability of multiple groundwater age tracers (3H, 3He, 4He, 14C, 13C, and 85Kr) in projecting future trends of nitrate concentration in 9 long-screened, public drinking water wells in Turlock, California, where nitrate concentrations are increasing toward the regulatory limit. Very low 85Kr concentrations and apparent 3H/3He ages point to a relatively old modern fraction (40–50 years), diluted with pre-modern groundwater, corroborated by the onset and slope of increasing nitrate concentrations. An inverse Gaussian–Dirac model was chosen to represent the age distribution of the sampled groundwater at each well. Model parameters were estimated using a Bayesian inference, resulting in the posterior probability distribution – including the associated uncertainty – of the parameters and projected nitrate concentrations. Three scenarios were considered, including combined historic nitrate and age tracer data, the sole use of nitrate and the sole use of age tracer data. Each scenario was evaluated based on the ability of the model to reproduce the data and the level of reliability of the nitrate projections. The tracer-only scenario closely reproduced tracer concentrations, but not observed trends in the nitrate concentration. Bothmore »
- Authors:
-
- The Catholic Univ. of America, Washington, D.C. (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); California State Univ., Hayward, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of Bern, Bern (Switzerland)
- California State Univ., Hayward, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE; USGS
- OSTI Identifier:
- 1367981
- Alternate Identifier(s):
- OSTI ID: 1396552
- Report Number(s):
- LLNL-JRNL-677921
Journal ID: ISSN 0022-1694
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Hydrology
- Additional Journal Information:
- Journal Volume: 543; Journal Issue: PA; Journal ID: ISSN 0022-1694
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; 58 GEOSCIENCES; Nitrate vulnerability; Age tracers; Bayesian inference; Uncertainty analysis; Lumped parameter models; Residence time distribution
Citation Formats
Alikhani, Jamal, Deinhart, Amanda L., Visser, Ate, Bibby, Richard K., Purtschert, Roland, Moran, Jean E., Massoudieh, Arash, and Esser, Bradley K. Nitrate vulnerability projections from Bayesian inference of multiple groundwater age tracers. United States: N. p., 2016.
Web. doi:10.1016/j.jhydrol.2016.04.028.
Alikhani, Jamal, Deinhart, Amanda L., Visser, Ate, Bibby, Richard K., Purtschert, Roland, Moran, Jean E., Massoudieh, Arash, & Esser, Bradley K. Nitrate vulnerability projections from Bayesian inference of multiple groundwater age tracers. United States. https://doi.org/10.1016/j.jhydrol.2016.04.028
Alikhani, Jamal, Deinhart, Amanda L., Visser, Ate, Bibby, Richard K., Purtschert, Roland, Moran, Jean E., Massoudieh, Arash, and Esser, Bradley K. Wed .
"Nitrate vulnerability projections from Bayesian inference of multiple groundwater age tracers". United States. https://doi.org/10.1016/j.jhydrol.2016.04.028. https://www.osti.gov/servlets/purl/1367981.
@article{osti_1367981,
title = {Nitrate vulnerability projections from Bayesian inference of multiple groundwater age tracers},
author = {Alikhani, Jamal and Deinhart, Amanda L. and Visser, Ate and Bibby, Richard K. and Purtschert, Roland and Moran, Jean E. and Massoudieh, Arash and Esser, Bradley K.},
abstractNote = {Nitrate is a major source of contamination of groundwater in the United States and around the world. We tested the applicability of multiple groundwater age tracers (3H, 3He, 4He, 14C, 13C, and 85Kr) in projecting future trends of nitrate concentration in 9 long-screened, public drinking water wells in Turlock, California, where nitrate concentrations are increasing toward the regulatory limit. Very low 85Kr concentrations and apparent 3H/3He ages point to a relatively old modern fraction (40–50 years), diluted with pre-modern groundwater, corroborated by the onset and slope of increasing nitrate concentrations. An inverse Gaussian–Dirac model was chosen to represent the age distribution of the sampled groundwater at each well. Model parameters were estimated using a Bayesian inference, resulting in the posterior probability distribution – including the associated uncertainty – of the parameters and projected nitrate concentrations. Three scenarios were considered, including combined historic nitrate and age tracer data, the sole use of nitrate and the sole use of age tracer data. Each scenario was evaluated based on the ability of the model to reproduce the data and the level of reliability of the nitrate projections. The tracer-only scenario closely reproduced tracer concentrations, but not observed trends in the nitrate concentration. Both cases that included nitrate data resulted in good agreement with historical nitrate trends. Use of combined tracers and nitrate data resulted in a narrower range of projections of future nitrate levels. However, use of combined tracer and nitrate resulted in a larger discrepancy between modeled and measured tracers for some of the tracers. In conclusion, despite nitrate trend slopes between 0.56 and 1.73 mg/L/year in 7 of the 9 wells, the probability that concentrations will increase to levels above the MCL by 2040 are over 95% for only two of the wells, and below 15% in the other wells, due to a leveling off of reconstructed historical nitrate loadings to groundwater since about 1990.},
doi = {10.1016/j.jhydrol.2016.04.028},
journal = {Journal of Hydrology},
number = PA,
volume = 543,
place = {United States},
year = {Wed Apr 20 00:00:00 EDT 2016},
month = {Wed Apr 20 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Noble gas tracers for characterisation of flow dynamics and origin of groundwater: A case study in Switzerland
journal, May 2009
- Althaus, R.; Klump, S.; Onnis, A.
- Journal of Hydrology, Vol. 370, Issue 1-4
Identification of groundwater quality trends in a chalk aquifer threatened by intensive agriculture in Belgium
journal, July 2007
- Batlle Aguilar, Jordi; Orban, Philippe; Dassargues, Alain
- Hydrogeology Journal, Vol. 15, Issue 8
Metrics for Assessing the Quality of Groundwater Used for Public Supply, CA, USA: Equivalent-Population and Area
journal, July 2015
- Belitz, Kenneth; Fram, Miranda S.; Johnson, Tyler D.
- Environmental Science & Technology, Vol. 49, Issue 14
Combined Use of Groundwater Dating, Chemical, and Isotopic Analyses to Resolve the History and Fate of Nitrate Contamination in Two Agricultural Watersheds, Atlantic Coastal Plain, Maryland
journal, September 1995
- Böhlke, J. K.; Denver, J. M.
- Water Resources Research, Vol. 31, Issue 9
Denitrification in the recharge area and discharge area of a transient agricultural nitrate plume in a glacial outwash sand aquifer, Minnesota: DENITRIFICATION IN RECHARGE AND DISCHARGE AREAS
journal, July 2002
- Böhlke, J. K.; Wanty, R.; Tuttle, M.
- Water Resources Research, Vol. 38, Issue 7
Regional monitoring of temporal changes in groundwater quality
journal, August 2004
- Broers, Hans Peter; van der Grift, Bas
- Journal of Hydrology, Vol. 296, Issue 1-4
Temporal trends in concentrations of DBCP and nitrate in groundwater in the eastern San Joaquin Valley, California, USA
journal, January 2007
- Burow, K. R.; Dubrovsky, N. M.; Shelton, J. L.
- Hydrogeology Journal, Vol. 15, Issue 5
Regional Nitrate and Pesticide Trends in Ground Water in the Eastern San Joaquin Valley, California
journal, September 2008
- Burow, Karen R.; Shelton, Jennifer L.; Dubrovsky, Neil M.
- Journal of Environmental Quality, Vol. 37, Issue S5
Use of chlorofluorocarbons (CCl 3 F and CCl 2 F 2 ) as hydrologic tracers and age-dating tools: The alluvium and terrace system of central Oklahoma
journal, September 1992
- Busenberg, Eurybiades; Plummer, L. Niel
- Water Resources Research, Vol. 28, Issue 9
Dating young groundwater with sulfur hexafluoride: Natural and anthropogenic sources of sulfur hexafluoride
journal, October 2000
- Busenberg, Eurybiades; Plummer, L. Niel
- Water Resources Research, Vol. 36, Issue 10
Determination of tritium by mass spectrometric measurement of 3He
journal, September 1976
- Clarke, W. B.; Jenkins, W. J.; Top, Z.
- The International Journal of Applied Radiation and Isotopes, Vol. 27, Issue 9
Constraining the age distribution of highly mixed groundwater using 39 Ar: A multiple environmental tracer ( 3 H/ 3 He, 85 Kr, 39 Ar, and 14 C) study in the semiconfined Fontainebleau Sands Aquifer (France) : CONSTRAINING THE AGE OF GROUNDWATER
journal, March 2007
- Corcho Alvarado, J. A.; Purtschert, R.; Barbecot, F.
- Water Resources Research, Vol. 43, Issue 3
Determination of the initial 14 C activity of the total dissolved carbon: A review of the existing models and a new approach
journal, April 1979
- Fontes, Jean-Charles; Garnier, Jean-Marie
- Water Resources Research, Vol. 15, Issue 2
Bayesian estimation of state-space models using the Metropolis–Hastings algorithm within Gibbs sampling
journal, August 2001
- Geweke, John; Tanizaki, Hisashi
- Computational Statistics & Data Analysis, Vol. 37, Issue 2
Mixing effects on apparent reaction rates and isotope fractionation during denitrification in a heterogeneous aquifer: MIXING EFFECTS ON APPARENT REACTION RATES
journal, August 2010
- Green, Christopher T.; Böhlke, John Karl; Bekins, Barbara A.
- Water Resources Research, Vol. 46, Issue 8
Nitrogen Fluxes through Unsaturated Zones in Five Agricultural Settings across the United States
journal, May 2008
- Green, Christopher T.; Fisher, Lawrence H.; Bekins, Barbara A.
- Journal of Environmental Quality, Vol. 37, Issue 3
Limited Occurrence of Denitrification in Four Shallow Aquifers in Agricultural Areas of the United States
journal, May 2008
- Green, Christopher T.; Puckett, Larry J.; Böhlke, John Karl
- Journal of Environmental Quality, Vol. 37, Issue 3
Regional oxygen reduction and denitrification rates in groundwater from multi-model residence time distributions, San Joaquin Valley, USA
journal, December 2016
- Green, Christopher T.; Jurgens, Bryant C.; Zhang, Yong
- Journal of Hydrology, Vol. 543
Trend Reversal of Nitrate in Danish Groundwater - a Reflection of Agricultural Practices and Nitrogen Surpluses since 1950
journal, January 2011
- Hansen, Birgitte; Thorling, Lærke; Dalgaard, Tommy
- Environmental Science & Technology, Vol. 45, Issue 1
Source of the oxygen atoms of nitrate in the oxidation of nitrite by Nitrobacter agilis and evidence against a PON anhydride mechanism in oxidative phosphorylation
journal, September 1984
- Hollocher, Thomas C.
- Archives of Biochemistry and Biophysics, Vol. 233, Issue 2
Origin of nitrogen-rich natural gases in the California Great Valley: Evidence from helium, carbon and nitrogen isotope ratios
journal, April 1988
- Jenden, P. D.; Kaplan, I. R.; Poreda, R.
- Geochimica et Cosmochimica Acta, Vol. 52, Issue 4
Membrane Inlet Mass Spectrometer for Rapid High-Precision Determination of N2, O2, and Ar in Environmental Water Samples
journal, December 1994
- Kana, Todd M.; Darkangelo, Christina.; Hunt, M. Duane.
- Analytical Chemistry, Vol. 66, Issue 23
A groundwater nonpoint source pollution modeling framework to evaluate long-term dynamics of pollutant exceedance probabilities in wells and other discharge locations: NONPOINT SOURCE MODELING
journal, May 2012
- Kourakos, George; Klein, Frank; Cortis, Andrea
- Water Resources Research, Vol. 48, Issue 6
Volatile fluxes through the Big Bend section of the San Andreas Fault, California: Helium and carbon-dioxide systematics
journal, February 2013
- Kulongoski, Justin T.; Hilton, David R.; Barry, Peter H.
- Chemical Geology, Vol. 339
Groundwater delivery rate of nitrate and predicted change in nitrate concentration in Blue Lake, South Australia
journal, January 2002
- Lamontagne, Sébastien
- Marine and Freshwater Research, Vol. 53, Issue 7
A comparison of groundwater dating with 81Kr, 36Cl and 4He in four wells of the Great Artesian Basin, Australia
journal, June 2003
- Lehmann, B. E.; Love, A.; Purtschert, R.
- Earth and Planetary Science Letters, Vol. 211, Issue 3-4
Non-stationary nonparametric inference of river-to-groundwater travel-time distributions
journal, November 2014
- Liao, Zijie; Osenbrück, Karsten; Cirpka, Olaf A.
- Journal of Hydrology, Vol. 519
A dating method with39Ar
journal, April 1983
- Loosli, H. H.
- Earth and Planetary Science Letters, Vol. 63, Issue 1
Argon-39, argon-37 and krypton-85 isotopes in Stripa groundwaters
journal, August 1989
- Loosli, H. H.; Lehmann, B. E.; Balderer, W.
- Geochimica et Cosmochimica Acta, Vol. 53, Issue 8
Identifying trends in groundwater quality using residence time indicators: an example from the Permian aquifer of Dumfries, Scotland
journal, August 2003
- MacDonald, Alan M.; Darling, W. George; Ball, Derek F.
- Hydrogeology Journal, Vol. 11, Issue 4
Determining the turnover time of groundwater systems with the aid of environmental tracers
journal, June 1982
- Małoszewski, P.; Zuber, A.
- Journal of Hydrology, Vol. 57, Issue 3-4
Principles and practice of calibration and validation of mathematical models for the interpretation of environmental tracer data in aquifers
journal, January 1993
- Maloszewski, P.; Zuber, A.
- Advances in Water Resources, Vol. 16, Issue 3
A general lumped parameter model for the interpretation of tracer data and transit time calculation in hydrologic systems ] (Journal of Hydrology 179 (1996) 1-21) Comments
journal, January 1998
- Małoszewski, Piotr; Zuber, Andrzej
- Journal of Hydrology, Vol. 204, Issue 1-4
The use of naturally occurring helium to estimate groundwater velocities for studies of geologic storage of radioactive waste
journal, October 1979
- Marine, I. W.
- Water Resources Research, Vol. 15, Issue 5
15N isotope biogeochemistry and natural denitrification process in groundwater: Application to the chalk aquifer of northern France
journal, July 1988
- Mariotti, André; Landreau, Alain; Simon, Béatrice
- Geochimica et Cosmochimica Acta, Vol. 52, Issue 7
The theoretical relation between unstable solutes and groundwater age: RELATION BETWEEN UNSTABLE SOLUTES AND GROUNDWATER AGE
journal, October 2011
- Massoudieh, Arash; Ginn, Timothy R.
- Water Resources Research, Vol. 47, Issue 10
Bayesian evaluation of groundwater age distribution using radioactive tracers and anthropogenic chemicals: UNCERTAINTIES IN GROUNDWATER DATING
journal, September 2012
- Massoudieh, Arash; Sharifi, Soroosh; Solomon, D. Kip
- Water Resources Research, Vol. 48, Issue 9
A Bayesian modeling approach for estimation of a shape-free groundwater age distribution using multiple tracers
journal, November 2014
- Massoudieh, Arash; Visser, Ate; Sharifi, Soroosh
- Applied Geochemistry, Vol. 50
Nonparametric estimation of groundwater residence time distributions: What can environmental tracer data tell us about groundwater residence time?
journal, March 2014
- McCallum, James L.; Engdahl, Nicholas B.; Ginn, Timothy R.
- Water Resources Research, Vol. 50, Issue 3
Redox Processes and Water Quality of Selected Principal Aquifer Systems
journal, March 2008
- McMahon, P. B.; Chapelle, F. H.
- Ground Water, Vol. 46, Issue 2
Assessing the Impact of Animal Waste Lagoon Seepage on the Geochemistry of an Underlying Shallow Aquifer
journal, February 2007
- McNab,, Walt W.; Singleton, Michael J.; Moran, Jean E.
- Environmental Science & Technology, Vol. 41, Issue 3
Equation of State Calculations by Fast Computing Machines
journal, June 1953
- Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
- The Journal of Chemical Physics, Vol. 21, Issue 6
Sources of groundwater nitrate revealed using residence time and isotope methods
journal, June 2006
- Moore, Keara B.; Ekwurzel, Brenda; Esser, Bradley K.
- Applied Geochemistry, Vol. 21, Issue 6
Regional transport modelling for nitrate trend assessment and forecasting in a chalk aquifer
journal, October 2010
- Orban, Philippe; Brouyère, Serge; Batlle-Aguilar, Jordi
- Journal of Contaminant Hydrology, Vol. 118, Issue 1-2
Stationary and non-stationary autoregressive processes with external inputs for predicting trends in water quality
journal, August 2008
- Pinault, Jean Louis; Dubus, Igor G.
- Journal of Contaminant Hydrology, Vol. 100, Issue 1-2
Old groundwater in parts of the upper Patapsco aquifer, Atlantic Coastal Plain, Maryland, USA: evidence from radiocarbon, chlorine-36 and helium-4
journal, June 2012
- Plummer, L. N.; Eggleston, J. R.; Andreasen, D. C.
- Hydrogeology Journal, Vol. 20, Issue 7
Groundwater residence times in Shenandoah National Park, Blue Ridge Mountains, Virginia, USA: a multi-tracer approach
journal, September 2001
- Plummer, L. N.; Busenberg, E.; Böhlke, J. K.
- Chemical Geology, Vol. 179, Issue 1-4
Tritium and helium isotopes as hydrologic tracers in a shallow unconfined aquifer
journal, November 1988
- Poreda, R. J.; Cerling, T. E.; Salomon, D. K.
- Journal of Hydrology, Vol. 103, Issue 1-2
Tritium/3He dating of shallow groundwater
journal, August 1988
- Schlosser, Peter; Stute, Martin; Dörr, Helmut
- Earth and Planetary Science Letters, Vol. 89, Issue 3-4
Saturated Zone Denitrification: Potential for Natural Attenuation of Nitrate Contamination in Shallow Groundwater Under Dairy Operations
journal, February 2007
- Singleton, M. J.; Esser, B. K.; Moran, J. E.
- Environmental Science & Technology, Vol. 41, Issue 3
Dissolved noble gas and isotopic tracers reveal vulnerability of groundwater in a small, high‐elevation catchment to predicted climate changes
journal, October 2010
- Singleton, Michael J.; Moran, Jean E.
- Water Resources Research, Vol. 46, Issue 10
Tracing groundwater flow in the Borden aquifer using krypton-85
journal, January 1992
- Smethie, William M.; Solomon, D. Kip; Schiff, Sherry L.
- Journal of Hydrology, Vol. 130, Issue 1-4
Testing mixing models of old and young groundwater in a tropical lowland rain forest with environmental tracers: TESTING MIXING MODELS WITH ENVIRONMENTAL TRACERS
journal, April 2010
- Solomon, D. Kip; Genereux, David P.; Plummer, L. Niel
- Water Resources Research, Vol. 46, Issue 4
VOCs, Pesticides, Nitrate, and Their Mixtures in Groundwater Used for Drinking Water in the United States
journal, May 2002
- Squillace, Paul J.; Scott, Jonathon C.; Moran, Michael J.
- Environmental Science & Technology, Vol. 36, Issue 9
Automated quantitative and isotopic (13C) analysis of dissolved inorganic carbon and dissolved organic carbon in continuous-flow using a total organic carbon analyser
journal, January 2003
- St-Jean, Gilles
- Rapid Communications in Mass Spectrometry, Vol. 17, Issue 5
Simulating Water‐Quality Trends in Public‐Supply Wells in Transient Flow Systems
journal, July 2014
- Jeffrey Starn, J.; Green, Christopher T.; Hinkle, Stephen R.
- Groundwater, Vol. 52, Issue S1
Screening for long-term trends in groundwater nitrate monitoring data
journal, November 2007
- Stuart, M. E.; Chilton, P. J.; Kinniburgh, D. G.
- Quarterly Journal of Engineering Geology and Hydrogeology, Vol. 40, Issue 4
Age structure and recharge conditions of a coastal aquifer (northern Germany) investigated with 39Ar, 14C, 3H, He isotopes and Ne
journal, October 2010
- Sültenfuβ, Jürgen; Purtschert, Roland; Führböter, Jens F.
- Hydrogeology Journal, Vol. 19, Issue 1
Heliuim-3 mass spectrometry for low-level tritium analysis of environmental samples
journal, August 1992
- Surano, K. A.; Hudson, G. B.; Failor, R. A.
- Journal of Radioanalytical and Nuclear Chemistry Articles, Vol. 161, Issue 2
Linking ground-water age and chemistry data along flow paths: Implications for trends and transformations of nitrate and pesticides
journal, October 2007
- Tesoriero, Anthony J.; Saad, David A.; Burow, Karen R.
- Journal of Contaminant Hydrology, Vol. 94, Issue 1-2
Demonstrating trend reversal of groundwater quality in relation to time of recharge determined by 3H/3He
journal, August 2007
- Visser, A.; Broers, H. P.; van der Grift, B.
- Environmental Pollution, Vol. 148, Issue 3
Trends in pollutant concentrations in relation to time of recharge and reactive transport at the groundwater body scale
journal, May 2009
- Visser, Ate; Broers, Hans Peter; Heerdink, Ruth
- Journal of Hydrology, Vol. 369, Issue 3-4
Groundwater age distributions at a public drinking water supply well field derived from multiple age tracers ( 85 Kr, 3 H/ 3 He, and 39 Ar) : Groundwater Age Distributions at a Drinking Water Well Field
journal, November 2013
- Visser, Ate; Broers, Hans Peter; Purtschert, Roland
- Water Resources Research, Vol. 49, Issue 11
Comparison of methods for the detection and extrapolation of trends in groundwater quality
journal, January 2009
- Visser, Ate; Dubus, Igor; Broers, Hans Peter
- Journal of Environmental Monitoring, Vol. 11, Issue 11
Intercomparison of tritium and noble gases analyses, 3 H/ 3 He ages and derived parameters excess air and recharge temperature
journal, November 2014
- Visser, Ate; Fourré, Elise; Barbecot, Florent
- Applied Geochemistry, Vol. 50
A membrane inlet mass spectrometry system for noble gases at natural abundances in gas and water samples: MIMS system for noble gases at natural abundances in gas and water
journal, October 2013
- Visser, Ate; Singleton, Michael J.; Hillegonds, Darren J.
- Rapid Communications in Mass Spectrometry, Vol. 27, Issue 21
Gaseous nitrogen as evidence for denitrification in groundwater
journal, January 1981
- Vogel, J. C.; Talma, A. S.; Heaton, T. H. E.
- Journal of Hydrology, Vol. 50
Decadal Geochemical and Isotopic Trends for Nitrate in a Transboundary Aquifer and Implications for Agricultural Beneficial Management Practices
journal, August 2006
- Wassenaar, Leonard I.; Hendry, M. Jim; Harrington, Nikki
- Environmental Science & Technology, Vol. 40, Issue 15
Dispersion of groundwater age in an alluvial aquifer system: DISPERSION OF GROUNDWATER AGE
journal, October 2002
- Weissmann, Gary S.; Zhang, Y.; LaBolle, Eric M.
- Water Resources Research, Vol. 38, Issue 10
Oxygen isotope ratios in N2O from nitrification at a wastewater treatment facility
journal, September 1985
- Yoshinari, T.; Wahlen, M.
- Nature, Vol. 317, Issue 6035
Prediction of Future Nitrate Concentrations in Ground Watera
journal, November 1976
- Young, C. P.; Oakes, D. B.; Wilkinson, W. B.
- Ground Water, Vol. 14, Issue 6
On some methodological problems in the use of environmental tracers to estimate hydrogeologic parameters and to calibrate flow and transport models
journal, October 2010
- Zuber, Andrzej; Różański, Kazimierz; Kania, Jarosław
- Hydrogeology Journal, Vol. 19, Issue 1
Works referencing / citing this record:
Physical and Chemical Controls on the Simultaneous Occurrence of Young and Old Groundwater Inferred From Multiple Age Tracers
journal, November 2018
- Underwood, S. C.; McCallum, J. L.; Cook, P. G.
- Water Resources Research, Vol. 54, Issue 11
Can Convolution and Deconvolution Be Used as Tools for Modeling Multicomponent, Mixing‐Limited Reaction Networks?
journal, July 2019
- Engdahl, Nicholas B.; McCallum, James L.; Ginn, Timothy R.
- Water Resources Research, Vol. 55, Issue 7
Physical and Chemical Controls on the Simultaneous Occurrence of Young and Old Groundwater Inferred From Multiple Age Tracers
text, January 2018
- Underwood, S. C.; McCallum, J. L.; Cook, P. G.
- American Geophysical Union