A methodology to compute mixing ratios with uncertain end-members

Water Resources Research

Volumn 40, Issue 12, 2004, Pages 1-11

  Carrera, J ^a   Vazquez Sune E ^a   Castillo, O ^a   Sanchez Vila X ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

End member; Groundwater; Mixing; Salt balance; Tracer; Water balance

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; GROUNDWATER; HYDROLOGY; PROBLEM SOLVING;

GROUNDWATER RECHARGE SOURCES; HYDROGRAPH SEPARATION; MIXING CALCULATIONS; SOLUTE MASS BALANCE;

WATER RESOURCES;

GROUNDWATER; METHODOLOGY; MIXING RATIO; NUMERICAL METHOD; SOLUTE TRANSPORT; TRACER;

EID: 12444347855     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002263     Document Type: Article

References (26)

1. Adar, E. M., and R. Nativ (2000), Use of hydrochemistry and isotopes in a mixing-cell to quantify the relative contribution of multiple-source contaminants to seepage from fractured chalk aquitard, IAHS Publ., 262, 315-320.
2. Adar, E. M., S. P. Neuman, and D. A. Woolhiser (1988), Estimation of spatial recharge distribution using environmental isotopes and hydrochemical data. I. Mathematical model and application to synthetic data, J. Hydrol., 97, 251-277.
3. Adar, E. M., E. Rosenthal, A. S. Issar, and O. Batelaan (1992), Quantitative assessment of flow pattern in the southern Arava Valley (Israel) by environmental tracer in a mixing cell model, J. Hydrol., 136, 333-352.
4. Allègre, C. J., and E. Lewin (1989), Chemical structure and history of the Earth: Evidence from global non-linear inversion of isotopic data in a three-box model, Earth Planet. Sci. Lett., 96, 61-88.
5. Allègre, C. J., B. Dupre, P. Négrel, and J. Gaillardet (1996), Sr-Nd-Pb isotope systematics in Amazon and Congo River systems: Constraints about erosion processes, Chem. Geol., 131, 93-112.
6. Biesenthal, T. A., and P. B. Shepson (1997), Observations of anthropogenic inputs of the isoprene oxidation products methyl vinyl ketone and methacrolein to the atmosphere, Geophys. Res. Lett., 24, 1375-1378.
7. Campana, M. F., and E. S. Simpson (1984), Groundwater residence times and discharge rates using discrete state compartment model and 14C data, J. Hydrol., 72, 171-185.
8. Carrera, J., and S. P. Neuman (1986), Estimation of aquifer parameters under steady-state and transient conditions: 1. Background and statistical framework, Water Resour. Res., 22, 199-210.
9. Castillo, O. (2000), Mètode general per a la quantificació de la recàrrega en una àrea urbana: Aplicació al cas de Barcelona (General method for quantifying urban groundwater recharge: The Barcelona city case), B.S. thesis, 92 pp., Tech. Univ. of Catalonia, Barcelona, Spain.
10. Custodio, E., and M. R. Llamas (1984), Hidrología Subterránea, 2350 pp., Omega, Barcelona, Spain.
11. Gill, R. D. (1981), Testing with replacement and the product limit estimator, Ann. Stat., 9, 853-860.
12. Joerin, C., K. J. Beven, I. Iorgulescu, and A. Musy (2002), Uncertainty in hydrograph separations based on geochemical mixing models, J. Hydrol., 255, 90-106.
13. 16O to trace atmospherically-deposited sulfate in surface waters: A case study in alpine watersheds in the Rocky Mountains, Geophys. Res. Lett., 28, 4483-4486.
14. Kent, J. T., G. S. Watson, and T. C. Onstott (1990), Fitting straight lines and planes with an application to radiometric dating, Earth Planet. Sci. Lett., 97, 1-17.
15. Medina, A., and J. Carrera (1995), Joint inversion of head and concentration data application to regionalized transmissivity (abstract), Ann. Geophys., 12, C-478.
16. Ojiambo, B. S., R. J. Poreda, and W. B. Lyons (2001), Groundwater/surface water interaction in Lake Naivasha, Kenya, using delta 0-18, delta D and He-3/He-3 age dating, Ground Water, 39, 526-533.
17. Pitkänen, P., J. Löffman, L. Koskinen, H. Leino-Forsman, and M. Snellman (1999), Application of mass-balance and flow simulation calculations to interpretation of mixing at Äspö, Sweden, Appl. Geochem., 14, 893-905.
18. Plummer, L. N., E. Busenberg, and S. Drenkard (1998), Flow of river water into a karstic limestone aquifer. 2. Dating the young fraction in groundwater mixtures in the Upper Floridian aquifer near Valdosta, Georgia, Appl. Geochem., 13, 1017-1043.
19. Roy, S., J. Gaillardet, and C. J. Allègre (1999), Geochemistry of dissolved and suspended loads of the Seine River, France: Anthropogenic impact, carbonate and silicate weathering, Geochim. Cosmochim. Acta, 63, 1277-1292.
20. Skov, H., A. H. Egelov, K. Granby, and T. Nielsen (1997), Relationships between ozone and other photochemical products at L1, Valby, Denmark, Atmos. Environ., 31, 685-691.
21. Stute, M., J. Deak, K. Revesz, J. K. Bohlke, E. Deseo, R. Wappernig, and P. Schlosser (1997), Tritium/He-3 dating of river infiltration: An example from the Danube in the Szigetkoz area, Hungary, Ground Water, 35, 905-911.
22. Suk, H., and K.-K. Lee (1999), Characterization of ground water hydrochemical system through multivariate analysis: Clustering into ground water zones, Ground Water, 37, 358-366.
23. Vázquez-Suñé, E., X. Sánchez-Vila, J. Carrera, M. Marizza, R. Arandes, and L. A. Gutierrez (1997), Rising of groundwater level in Barcelona: Evolution and effects on urban structures, in Groundwater in the Urban Environment, edited by J. Chilton et al., pp. 267-271, A. A. Balkema, Brookfield, Vt.
24. Williams, M. R., A. Leydecker, A. D. Brown, and J. M. Melack (2001), Processes regulating the solute concentrations of snowmelt runoff in two subalpine catchments of the Sierra Nevada, California, Water Resour. Res., 37, 1993-2008.
25. Yang, Y., D. N. Lerner, M. Barret, and J. Tellam (1999), Quantification of groundwater recharge in the city of Nottingham, UK, Environ. Geol., 38, 183-198.
26. Zuber, A. (1986), Mathematical models for the interpretation of environmental radioisotopes in groundwater systems, in Handbook of Environmental Isotope Geochemistry, vol. 2, edited by P. Fritz and J. C. Fontes, pp. 1-59, Elsevier, New York.