Delineation of source protection zones using statistical methods

Water Resources Management

Volumn 19, Issue 2, 2005, Pages 163-185

  Stauffer, Fritz ^a   Guadagnini, Alberto ^b   Butler, Adrian ^c   Franssen, Harrie Jan Hendricks ^a   van de Wiel, Neeltje ^d   Bakr, Mahmoud ^c   Riva, Monica ^b   Guadagnini, Laura ^b  

^a ETH ZURICH   (Switzerland)

^b POLITECNICO DI MILANO   (Italy)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

^d DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Groundwater; Modelling; Protection zones; Statistical methods; Stochastic methods; Uncertainty estimation

Indexed keywords

AQUIFERS; CATCHMENTS; COMPUTATIONAL GEOMETRY; ENVIRONMENTAL PROTECTION; POTABLE WATER; STATISTICAL METHODS; WATER POLLUTION CONTROL;

AQUIFER ZONES; DELINEATION; SOURCE PROTECTION ZONES; STOCHASTIC METHODS;

GROUNDWATER RESOURCES;

GROUNDWATER CONTROL; POLLUTION CONTROL; STOCHASTICITY; WATER MANAGEMENT;

EID: 21044435957     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-005-3182-7     Document Type: Article

References (49)

1. M.I. Bakr 2000 'A Stochastic Inverse-Management Approach to Groundwater Quality Problems', Ph.D. thesis Delft University of Technology Delft, The Netherlands
2. Bakr, M.I. and Butler, A.P., 2004a, 'Worth of head data in well capture zone design, deterministic and stochastic analysis', J. Hydrol. 290 (3-4), 202-216.
3. Bakr, M.I. and Butler, A., 2004b, 'Nonstationary stochastic analysis in well capture zone design using first-order Taylor's series approximation', Water Resour. Res. (submitted).
4. Bakr, M.I., te Stroet, C., and Meijerink, A., 2003, 'Stochastic groundwater quality management; role of spatial variability and conditioning', Water Resour. Res. 39, 2078, doi: 10.1029/2002WR001745.
5. Ballio, F., and Guadagnini, A., 2004, 'Convergence assessment of numerical Monte Carlo simulations in groundwater hydrology', Water Resour. Res. 40, W04603, doi:10.1029/2003WR002876.
6. Bear, J. and Jacobs, M., 1965, 'On the movement of water bodies injected into aquifers', J. Hydrol. 3, 37-57.
7. C.V. Deutsch and A.G. Journel 1998 GSLIB: Geostatistical Software Library and User's Guide 2nd ed. Oxford University Press New York
8. Evers, S. and Lerner, D.N., 1998, 'How uncertain is our estimate of a wellhead protection zone?', Ground Water 36, 49-57. 1:CAS:528:DyaK1cXjvFersA%3D%3D
9. Feyen, L., Beven, K.J., De Smedt, F., and Freer, J., 2001, 'Stochastic capture zone delineation within the generalized likelihood uncertainty estimation methodology: Conditioning on head observations', Water Resour. Res. 37, 625-638.
10. Feyen, L., Ribeiro, P.J. Jr., Gómez-Hernández, J.J., Beven K.J., and De Smedt, F., 2003a, 'Bayesian methodology for stochastic capture zone delineation incorporating transmissivity measurements and hydraulic head observations', J. Hydrol. 271, 156-170.
11. Feyen, L., Gómez-Hernández, J.J., Ribeiro Jr., P.J., Beven, K.J., and De Smedt, F., 2003b, 'A Bayesian approach to stochastic capture zone delineation incorporating tracer arrival times, conductivity measurements and hydraulic head observations', Water Resour. Res. 39, 1126, doi: 10.1029/2002WR001544.
12. Franzetti, S. and Guadagnini, A., 1996, 'Probabilistic estimation of well catchments in heterogeneous aquifers', J. Hydrol. 174, 149-171.
13. Gómez-Hernández, J.J. and Journel A.G., 1993, 'Joint simulation of MultiGaussian random variables', in A. Soares (ed.), Geostatistics Tróia 92, vol. 1, Kluwer Academic Publishers, pp. 85-94.
14. Gómez-Hernández, J.J., Sahuquillo, A., and Capilla, J.E., 1997, 'Stochastic simulation of transmissivity fields conditional to both transmissivity and piezometric data. 1. Theory', J. Hydrol. 203, 162-174.
15. Guadagnini, A. and Franzetti, S., 1999, 'Time-related capture zones for contaminants in randomly heterogeneous formations', Ground Water 37, 253-260. 1:CAS:528:DyaK1MXhsl2lsbc%3D
16. Guadagnini, A. Sànchez-Vila, X., Riva, M., and De Simoni, M., 2003, 'Mean travel time of conservative solutes in randomly heterogeneous unbounded domains under mean uniform flow', Water Resour. Res. 39, 1050, doi: 10.1029/2002WR001811.
17. Hendricks Franssen, H.J.W.M., 2001, 'Inverse Stochastic Modelling of Groundwater Flow and Mass Transport', Ph. D. thesis, Technical University of Valencia.
18. Hendricks Franssen, H.J.W.M., Stauffer F., and Kinzelbach, W., 2002, 'Impact of spatio-temporally variable recharge on the characterisation of well capture zones', in K. Kovar and Z. Hrkal (eds.) ModelCARE 2002 - Calibration and reliability in Groundwater Modelling: A Few Steps Closer to Reality, IAHS Publication, 227, pp. 470-477.
19. Hendricks Franssen, H.J.W.M., Gómez-Hernández, J.J. and Sahuquillo, A., 2003, 'Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data', J. Hydrol. 281, 281-295.
20. Hendricks Franssen, H.J.W.M. and Stauffer, F., 2004, 'Optimal design of measurement networks for groundwater flow predictions', Adcances in Water Resour. (submitted).
21. Hendricks Franssen, H.J.W.M., Stauffer F., and Kinzelbach, W., 2004a, 'Joint estimation of transmissivities and recharges - Application: Stochastic characterization of well capture zones', J. Hydrol. 294, 87-102.
22. Hendricks Franssen, H.J.W.M., Stauffer F., and Kinzelbach, W., 2004b, 'Influence of uncertainty of mean transmissivity, transmissivity variogram and boundary conditions on estimation of well capture zones', in Sanchez-Villa, X., Carrera, J., and Gómez-Hernández, J.J. (eds.), GeoEnv IV-Geostatistics for Environmental Applications, Kluwer Acad. Publ., pp. 223-234.
23. Hernandez, A.F., Neuman, S.P., Guadagnini, A., and Carrera, J., 2003, 'Conditioning mean steady state flow on hydraulic head and conductivity through geostatistical inversion', Stoch. Environ. Res. Risk Assessm. 17, 329-338.
24. Hunt, R.J., Steuer, J.J., Mansor, M.T.C., and Bullen, T.D., 2001, 'Delineating a recharge area for a spring using numerical modeling, Monte Carlo techniques, and geochemical Investigation', Ground Water 39, 702-712. 1:CAS:528:DC%2BD3MXmsFKqsr4%3D
25. Jacobson, E., Andricevic, R., and Morrice, J., 2002, 'Probabilistic capture zone delineation based on an analytic solution', Ground Water 40, 85-95. 1:CAS:528:DC%2BD38Xmt12lsA%3D%3D
26. Kinzelbach, W., Marburger, M. and Chiang, W.-H., 1992, 'Determination of groundwater catchment areas in two and three spatial dimensions', J. Hydrol. 134, 221-246.
27. Kunstmann, H. and Kinzelbach, W., 2000, 'Computation of stochastic wellhead protection zones by combining the first-order second-moment method and Kolmogorov backward equation analysis', J. Hydrol. 237, 127-146.
28. Lu, Z. and Zhang, D., 2003, 'On stochastic study of well capture zones in bounded, randomly heterogeneous medi', Water Resour. Res. 39, 1100, doi10.1029/2002WR001633.
29. G. de Marsily 1986 Quantitative Hydrogeology Academic Press Orlando, FL
30. E. Martac B. Sack-Kühner and T. Ptak 2003a Multilevel - Multitracer Tests in Heterogeneous Porous Aquifers: A Method for Subsurface Investigation and Testing of Stochastic Models for the Delineation of Wellhead Protection Zones', Proceedings of 8th International FZK/TNO Conference on Contaminated Soil Gent Belgium
31. Martac, E., Guadagnini, L., Riva, M. and Ptak, T., 2003b, 'Multivariate Geostatistical Parameterization Approach for 3D Transient Stochastic Modeling of Wellhead Protection Zones in a Highly Heterogeneous Aquifer', Proceeding of MODFLOW and MORE 2003 Understanding Through Modelling, Poeter et al., International Ground Water Modeling Center (IGWMC), Colorado School of Mines, pp. 686-690.
32. McDonald, M.G. and Harbaugh, A.W., 1988, 'A Modular Three-Dimensional Finite-Difference Groundwater Flow Model', Manual 83-875, U.S. Geological Survey.
33. Medina, A. and Carrera, J., 1996, 'Coupled estimation of flow and solute transport parameters', Water Resour. Res. 32, 3063-3076. 1:CAS:528:DyaK28XmsFOqsL8%3D
34. E. Pebesma 1999 'GSTAT User's manual' Technical Report Department of Physical Geography, Utrecht University Utrecht, The Netherlands
35. Pollock, D.W., 1994, 'User's guide for MODPATH/MODPATH-PLOT, Version 3: A Particle Tracking Post-Processing Package for MODFLOW, the U.S. Geological Survey Finite-Difference Ground-Water Flow Model', Open-File Report, U.S. Geological Survey, pp. 94-464.
36. Renard, P. and de Marsily, G., 1997, 'Calculating equivalent permeability: A review', Adv. Water Resour. 20, 253-278.
37. Riva, M., Sanchez-Vila, X., De Simoni, M., Guadagnini, A., and Willmann, M., 2004, 'Effect of heterogeneity on aquifer reclamation time', in Sanchez-Villa, X., Carrera, J., and Gómez-Hernández, J.J. (eds.), GeoEnv IV-Geostatistics for Environmental Applications, Kluwer Acad. Publ., pp. 259-270.
38. Robin, M.J., Gutjahr, A.L., Sudicky, E.A., and Wilson, J.L., 1993, 'Cross-correlated random field generation with the direct Fourier transform method', Water Resour. Res. 26, 2385-2397.
39. B.T. Sack-Kühner 1996 'Einrichtung des Naturmessfeldes "Lauswiesen Tuebingen", Erkundung der hydraulischen Eigenschaften, Charakterisierung der Untergrundheterogenitaet und Vergleich der Ergebnisse unterschiedlicher Erkundungsverfahren', Diploma Thesis Fachbereich Geowissenschaften, Eberhard-Karls-University Tuebingen Germany.
40. Stauffer, F., Attinger, S., Zimmermann, S., and Kinzelbach, W., 2002, 'Uncertainty estimation of well catchments in heterogeneous aquifers', Water Resour. Res. 38: Doi: 10.1029/2001WR000819.
41. J.R. Valstar 2001 'Inverse Modeling of Groundwater Flow and Transport', Ph.D. Thesis Delft University of Technology The Netherlands.
42. Van de Wiel, N.P.A.J., Gehrels, J.C., te Stroet, C.B.M. and Valstar, J.R., 2002, 'Optimally Reducing Uncertainty in Well Capture Ones using Hydraulic Head Data', in K. Kovar, Z. Hrkal (eds.), ModelCARE 2002 - Calibration and Reliability in Groundwater Modelling: A Few Steps Closer to Reality, IAHS Publication, 277, pp. 498-507.
43. Van de Wiel, N.P.A.J., Gehrels, J.C., te Stroet, C.B.M., and Valstar, J.R., 2004, 'Conditioning stochastic well capture zones on optimised grids of head measurements', J. Hydrol. (Submitted).
44. M. Van Leeuwen 2000 'Stochastic determination of Well Capture Zones Conditioned on Transmissivity Data', Ph.D. thesis Imperial College of Science, Technology and Medicine London
45. Van Leeuwen, M., Butler, A.P., te Stroet, C.B.M., and Tompkins, J.A., 1999, 'Stochastic Determination of the Wierden (Netherlands) Capture Zones', Ground Water 37, 8-17. 1:CAS:528:DyaK1MXmt1Onsw%3D%3D
46. Van Leeuwen, M., Butler, A.P., te Stroet, C.B.M., and Tompkins, J.A., 2000, 'Stochastic determination of well capture zones conditioned on regular grids of transmissivity measurements', Water Resour. Res. 36, 949-957.
47. Wheater, H.S., Tompkins, J.A., van Leeuwen, M., and Butler A.P., 2000, 'Uncertainty in groundwater flow and transport modelling - A stochastic analysis of well protection zones', Hydrol. Processes 14, 2019-2029.
48. Winter, C.L., Tartakovsky, D.M., and Guadagnini, A., 2003, 'Moment differential equations for flow in highly heterogeneous porous media', Surveys in Geophysics 24, 81-106.
49. Ye, M., Neuman, S.P., Guadagnini, A., and Tartakovsky, D.M., 2004, 'Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly heterogeneous porous media', Water Resour. Res. 40, W05104, doi: 10.1029/2003, WR002099.