Inverse Application of Age-Distribution Modeling Using Environmental Tracers
Publication: Journal of Hydrologic Engineering
Volume 13, Issue 11
Abstract
As issues of source water protection of drinking water supplies have come to the forefront, the methodology to effectively manage semiconfined aquifers is still unclear. Commonly, the area around the wellhead is considered the most risk sensitive area, but in semiconfined settings the most sensitive areas may be located some distance away from the wellhead. This research employed the use of age-distribution modeling in concert with environmental tracers (tritium/helium-3), geochemical, and other hydrogeologic data. A synthetic test case was developed to determine the suitability of the technique for identifying localized areas of recharge to a wellhead in aquifers where evidence of modern water infiltration exists. Results of the model runs based on the synthetic test case indicate that the technique presented herein is capable of identifying localized areas of recharge contributing to a wellhead, in a semiconfined aquifer setting, with only a limited amount of required data. These results and the relative ease of application make this technique a valuable tool for obtaining a greater understanding of the flow regime at a wellhead, which in turn provides more information for risk assessment of public water supplies.
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Acknowledgments
The research conducted for this publication was funded by the Ground Water Institute at The University of Memphis. The writers wish to express their gratitude to the Ground Water Institute and its funding partners for making this work possible.
References
Bayer, R., Schlosser, P., Bönisch, G., Rupp, H., Zaucker, R., and Zimmer, G. (1989). “Performance and blank components of a mass spectrometric system for routine measurements of helium isotopes and tritium by the 3He ingrowth method.” Sitzungsberichte der Heidelberger Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse, 5. Anhandlung, Springer, Berlin, 240–279.
Beyerle, U., Aeschbach-Hertig, W., Hofer, M., Imboden, D. M., Baur, H., and Kipfer, R. (1999). “Infiltration of river water to a shallow aquifer investigated with , noble gases, and CFCs.” J. Hydrol., 220(3), 169–185.
Boyce, W. E., and DiPrima, R. C. (1992). Elementary differential equations, Wiley, New York.
Carmi, I., and Gat, J. (1994). “Estimating the turnover time of groundwater reservoirs by the helium-3/tritium method in the era of declining atmospheric tritium levels: Opportunities and limitations in the time bracket 1990–2000.” Isr. J. Earth Sci., 43, 249–253.
Clark, I., and Fritz, P. (1997). Environmental isotopes in hydrogeology, CRC, Boca Raton, Fla.
Clark, J. F., Hudson, G. B., Davisson, M. L., Woodside, G., and Herndon, R. (2004). “Geochemical imaging of flow near an artificial recharge facility, Orange County, California.” Ground Water, 42(2), 167–174.
Cook, P. G., and Böhlke, J. (2000). “Determining timescales for groundwater flow and solute transport.” Environmental tracers in subsurface hydrology, P. Cook and A. Herczeg, eds., Kluwer Academic, Boston.
Ekwurzel, B., Schlosser, P., Smethie, W. M., Jr., Plummer, L. N., Busenberg, E., Michel, R. L., Weppernig, R., and Stute, M. (1994). “Dating of shallow groundwater: Comparison of the transient tracers , chlorofluorocarbons, and .” Water Resour. Res., 30(6), 1693–1708.
Hill, M. C. (1998). “Methods and guidelines for effective model calibration.” U.S. Geological Survey Water-Resources Investigations Rep. No. 98-4005, Denver.
Hoffman, J. D. (1992). Numerical methods for engineers and scientists, McGraw-Hill, New York.
Maloszewski, P. (2000). “Lumped-parameter models as a tool for determining the hydrological parameters of some groundwater systems based on isotope data.” Tracers and modeling in hydrogeology, IAHS Publication No. 262, Vienna, Austria, 271–276.
Maloszewski, P., and Zuber, A. (1982). “Determining the turnover time of groundwater systems with the aid of environmental tracers. I: Models and their applicability.” J. Hydrol., 57, 207–231.
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.” Adv. Water Resour., 16, 173–190.
Maloszewski, P., and Zuber, A. (1996). “Lumped parameter models for the interpretation of environmental tracer data.” Manual on mathematical models in isotope hydrogeology, IAEA-TECDOC-910, 28, No. 6, International Atomic Energy Agency, Vienna, Austria.
Maloszewski, P., and Zuber, A. (2002). “Manual on lumped parameter models used for the interpretation of environmental tracer data in groundwaters.” Use of isotopes for analyses of flow and transport dynamics in groundwater systems. Results of a coordinated research project 1996–1999, International Atomic Energy Agency, Vienna, Austria.
Manning, A. H., Solomon, D. K., and Thiros, S. A. (2005). “3H/3He age data in assessing the susceptibility of wells to contamination.” Ground Water, 43(3), 353–367.
Plummer, L. N., Prestemon, E. C., and Parkhurst, D. L. (1991). “An interactive code (NETPATH) for modeling NET geochemical reactions along a flow PATH.” U.S. Geological Survey Water-Resources Investigations Rep. No. 91-4078, Reston, Va.
Poeter, E. P., and Hill, M. C., (1998). “Documentation of UCODE, A computer code for universal inverse modeling.” U.S. Geological Survey Water-Resources Investigations Rep. No. 98-4080, Denver.
Robertson, W. D., and Cherry, J. A. (1989). “Tritium as an indicator of recharge and dispersion in a groundwater system in central Ontario.” Water Resour. Res., 25(6), 1097–1109.
Shapiro, S. D., Rowe, G., Schlosser, P., Ludin, A., and Stute, M. (1998). “Tritium-helium 3 dating under complex conditions in hydraulically stressed areas of a buried-valley aquifer.” Water Resour. Res., 34(5), 1165–1180.
Solomon, D. K. and Cook, P. G., and (2000). “3H and 3He.” Environmental tracers in subsurface hydrology, P. G. Cook and A. L. Herczeg, eds., Kluwer, Boston, 397–424.
Solomon, D. K., Poreda, R. J., Cook, P. G., and Hunt, A. (1995). “Site characterization using ground-water ages, Cape Cod, MA.” Ground Water, 33(6), 988–996.
Solomon, D. K., Schiff, S. L., Poreda, R. J., and Clarke, W. B. (1993). “A validation of the method for determining groundwater recharge.” Water Resour. Res., 29(9), 2951–2962.
Solomon, D. K., and Sudicky, E. A. (1991). “Tritium and helium 3 isotope ratios for direct estimation of spatial variations in groundwater recharge.” Water Resour. Res., 27(9), 2309–2319.
Sun, N. Z. (1999). Inverse problems in groundwater modeling, Kluwer Academic, Norwell, Mass.
Zuber, A. (1986). “Mathematical models for the interpretation of environmental radioisotopes in groundwater systems.” Handbook of environmental isotope geochemistry, P. Fritz and J. Ch. Fontes, eds., Vol. 2, Elsevier Science, New York.
Zuber, A., and Ciezkowski, W. (2002). “A combined interpretation of environmental isotopes for analyses of flow and transport parameters by making use of the lumped-parameter approach.” Use of isotopes for analyses of flow and transport dynamics in groundwater systems. Results of a coordinated research project 1996–1999, International Atomic Energy Agency, Vienna, Austria.
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© 2008 ASCE.
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Received: Sep 13, 2007
Accepted: Jun 4, 2008
Published online: Nov 1, 2008
Published in print: Nov 2008
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