Probabilistic exposure risk assessment with advective-dispersive well vulnerability criteria

Advances in Water Resources

Volumn 36, Issue , 2012, Pages 121-132

  Enzenhoefer, Rainer ^a   Nowak, Wolfgang ^a   Helmig, Rainer ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Groundwater protection; Risk assessment; Uncertainty quantification; Well catchment delineation; Well vulnerability

Indexed keywords

ARRIVAL TIME; COMPUTATIONAL COSTS; CONTAMINATION RISKS; CONTROL AND MONITOR; CRITICAL CONCENTRATION; EXPOSURE-TIME; FIRST ARRIVAL; GROUND WATER PROTECTION; HIGH RESOLUTION; MANAGEMENT SCHEME; MONTE CARLO SIMULATION; PEAK CONCENTRATIONS; PROBABILISTIC FRAMEWORK; PROBABILISTIC RISK ASSESSMENT; PROTECTION ZONES; SOURCES OF UNCERTAINTY; SYNTHETIC DATA; TEMPORAL MOMENTS; TRANSPORT EQUATION; UNCERTAINTY QUANTIFICATIONS; WATER SAFETY PLANS;

CATCHMENTS; COMPUTER SIMULATION; GROUNDWATER; GROUNDWATER POLLUTION; MONTE CARLO METHODS; POTABLE WATER; RATING; RISK MANAGEMENT; RUNOFF; WATER WELLS; WELLHEADS;

RISK ASSESSMENT;

ARTESIAN WELL; BOUNDARY CONDITION; COMPUTER SIMULATION; GROUNDWATER POLLUTION; HAZARD ASSESSMENT; MONTE CARLO ANALYSIS; POLLUTANT TRANSPORT; POLLUTION CONTROL; POLLUTION EXPOSURE; RISK ASSESSMENT; UNCERTAINTY ANALYSIS;

EID: 84855242146     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.04.018     Document Type: Article

References (80)

1. Frind E., Molson J., Rudolph D. Well vulnerability: a quantitative approach for source water protection. Ground Water 2006, 44(5):732-742.
2. US NRC Reactor safety study - an assessment of accident risks in US commercial nuclear power plants 1975, US Nuclear Regulatory Commission, Washington, DC.
3. US EPA, Risk assessment guidance for superfund. Human health evaluation manual (part A), vol. I, EPA/540/1-89/002 ed.; 1989.
4. WHO, Guidelines for drinking-water quality; 2004.
5. Davison A., Howard G., Stevens M., Callan P., Deere D., Bartram J. Water safety plans - managing drinking-water quality from catchment to consumer 2004, World Health Organization (WHO/SDE/WSH/05.06), Geneva, Switzerland.
6. European Council Directive 98/83/EC, The quality of water intended for human consumption. The Council of the European Union; 1998.
7. US EPA, Guidelines for delineation of well-head protection areas, EPA - 440/5-93-001 ed.; 1993.
8. Evers S., Lerner D. How uncertain is our estimate of a wellhead protection zone?. Ground Water 1998, 36(1):49-57. ISSN: 0017-467X.
9. Neuman S. Maximum likelihood Bayesian averaging of uncertain model predictions. Stoch Env Res Risk Assess 2003, 17(5):291-305.
10. Hoeting J.A., Davis R.A., Merton A.A., Thompson S.E. Model selection for geostatistical models. Ecol Appl 2006, 16(1):87-98. ISSN: 10510761.
11. Park I., Amarchinta H., Grandhi R. A Bayesian approach for quantification of model uncertainty. Reliab Eng Syst Saf 2010, 95(7):777-785.
12. Rubin Y. Applied stochastic hydrogeology 2003, Oxford University Press, USA.
13. Aven T. Some reflections on uncertainty analysis and management. Reliab Eng Syst Saf 2010, 95(3):195-201. ISSN: 0951-8320. 10.1016/j.ress.2009.09.010.
14. Feyen L., Beven K., De Smedt F., Freer J. Stochastic capture zone delineation within the generalized likelihood uncertainty estimation methodology: conditioning on head observations. Water Resour Res 2001, 37(3):625-638. ISSN: 0043-1397.
15. Varljen M., Shafer J. Assessment of uncertainty in time-related capture zone using conditional simulation of hydraulic conductivity. Ground Water 1991, 29(5):737-748.
16. Franzetti S., Guadagnini A. Probabilistic estimation of well catchments in heterogeneous aquifers. J Hydrol 1996, 174(1-2):149-171.
17. van Leeuwen M., te Stroet C., Butler A., Tompkins J. Stochastic determination of well capture zones. Water Resour Res 1998, 34(9):2215-2223. ISSN: 0043-1397.
18. Jacobson E., Andricevic R., Morrice J. Probabilistic capture zone delineation based on an analytic solution. Ground Water 2002, 40(1):85-95.
19. Stauffer F., Franssen H., Kinzelbach W. Semianalytical uncertainty estimation of well catchments: conditioning by head and transmissivity data. Water Resour Res 2004, 40(8):W08305. 10.1029/2004WR003320.
20. Vassolo S., Kinzelbach W., Schafer W. Determination of a well head protection zone by stochastic inverse modelling. J Hydrol 1998, 206(3-4):268-280. ISSN: 0022-1694.
21. Moutsopoulos K., Gemitzi A., Tsihrintzis V. Delineation of groundwater protection zones by the backward particle tracking method: theoretical background and GIS-based stochastic analysis. Environ Geol 2008, 54(5):1081-1090. ISSN: 0943-0105. 10.1007/s00254-007-0879-3.
22. Stauffer F., Guadagnini A., Butler A., Franssen H.J.H., Wiel N.V.D., Bakr M., et al. Delineation of source protection zones using statistical methods. Water Resour Manage 2005, 19(2):163-185. ISSN: 0920-4741.
23. Riva M., Guadagnini A., Guadagnini L., Ptak T., Martac E. Probabilistic study of well capture zones distribution at the Lauswiesen field site. J Contam Hydrol 2006, 88(1-2):92-118. ISSN: 0169-7722.
24. Cole B., Silliman S. Utility of simple models for capture zone delineation in heterogeneous unconfined aquifers. Ground Water 2000, 38(5):665-672. ISSN: 0017-467X.
25. Guadagnini A., Franzetti S. Time-related capture zones for contaminants in randomly heterogeneous formations. Ground Water 1999, 37(2):253-260.
26. Pollock D. Semianalytical computation of path lines for finite-difference models. Ground Water 1988, 26(6):743-750.
27. Tosco T., Sethi R., Di Molfetta A. An automatic, stagnation point based algorithm for the delineation of wellhead protection areas. Water Resour Res 2008, 44(7):W07419. ISSN: 0043-1397. 10.1029/2007WR006508.
28. Gelhar L., Axness C. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour Res 1983, 19(1):161-180.
29. Dagan G. Solute transport in heterogeneous porous formations. J Fluid Mech 1984, 145:151-177.
30. Andricevic R., Cvetkovic V. Relative dispersion for solute flux in aquifers. J Fluid Mech 1998, 361:145-174.
31. Dentz M., Kinzelbach H., Attinger S., Kinzelbach W. Temporal behavior of a solute cloud in a heterogeneous porous medium 1. Point-like injection. Water Resour Res 2000, 36(12):3591-3604.
32. Kitanidis P. The concept of the dilution index. Water Resour Res 1994, 30(7):2011-2026.
33. Oberg T., Bergback B. A review of probabilistic risk assessment of contaminated land. J Soils Sediments 2005, 5(4):213-224. ISSN: 1439-0108. 10.1065/jss2005.08.143.
34. Cushman D., Driver K., Ball S. Risk assessment for environmental contamination: an overview of the fundamentals and application of risk assessment at contaminated sites. Can J Civil Eng 2001, 28:155-162.
35. de Barros F.P.J., Rubin Y. A risk-driven approach for subsurface site characterization. Water Resour Res 2008, 44:W01414. 10.1029/2007WR006081.
36. de Barros F.P.J., Rubin Y., Maxwell R. The concept of comparative information yield curves and its application to risk-based site characterization. Water Resour Res 2009, 45(6):W06401. 10.1029/2008WR007324.
37. de Barros FPJ, Bolster D, Sanchez-Vila X, Nowak W. A divide and conquer approach to cope with uncertainty, human health risk and decision making in contaminant hydrology. Water Resour Res; in press. doi:10.1029/2010WR009954. doi:10.1029/2010WR009954.
38. Cirpka O., Valocchi A. Two-dimensional concentration distribution for mixing-controlled bioreactive transport in steady state. Adv Water Resour 2007, 30(6-7):1668-1679.
39. Neupauer R., Wilson J. Adjoint-derived location and travel time probabilities for a multidimensional groundwater system. Water Resour Res 2001, 37(6):1657-1668.
40. Harvey C., Gorelick S. Temporal moment-generating equations - modeling transport and mass-transfer in heterogeneous aquifers. Water Resour Res 1995, 31(8):1895-1911. ISSN: 0043-1397.
41. Feyen L., Ribeiro P., Gomez-Hernandez J., Beven K., De Smedt F. Bayesian methodology for stochastic capture zone delineation incorporating transmissivity measurements and hydraulic head observations. J Hydrol 2003, 271(1-4):156-170. ISSN: 0022-1694.
42. US EPA, Guiding principles for Monte Carlo analysis. Washington, DC, epa/630/r-97/001 ed.; 1997.
43. Feyen L., Ribeiro P., De Smedt F., Diggle P. Bayesian methodology to stochastic capture zone determination: conditioning on transmissivity measurements. Water Resour Res 2002, 38(9):1164. ISSN: 0043-1397. 10.1029/2001WR000950.
44. Nowak W., de Barros F., Rubin Y. Bayesian geostatistical design: task-driven optimal site investigation when the geostatistical model is uncertain. Water Resour Res 2010, 46(3):W03535. 10.1029/2009WR008312.
45. Zanini A., Kitanidis P. Geostatistical inversing for large-contrast transmissivity fields. Stoch Env Res Risk Assess 2009, 23(5):565-577.
46. Kitanidis P. Quasi-linear geostatistical theory for inversing. Water Resour Res 1995, 31(10):2411-2419.
47. Nowak W., Cirpka O. A modified Levenberg-Marquardt algorithm for quasi-linear geostatistical inversing. Adv Water Resour 2004, 27(7):737-750.
48. Alcolea A., Carrera J., Medina A. Pilot points method incorporating prior information for solving the groundwater flow inverse problem. Adv Water Resour 2006, 29(11):1678-1689.
49. Franssen H., Gómez-Hernández J., Sahuquillo A. Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data. J Hydrol 2003, 281(4):281-295.
50. Franssen H., Alcolea A., Riva M., Bakr M., van der Wiel N., Stauffer F., et al. A comparison of seven methods for the inverse modelling of groundwater flow. Application to the characterisation of well catchments. Adv Water Resour 2009, 32(6):851-872.
51. Uffink G. Application of Kolmogorov backward equation in random walk simulations of groundwater contaminant transport. Contaminant transport in groundwater: proceedings of the international symposium on contaminant transport in groundwater 1989, 283-298. A.A. Balkema, Brookfield, Vt. H.E. Kobus, W. Kinzelbach (Eds.).
52. Cornaton F. Deterministic models of groundwater age, life expectancy and transit time distributions in advective dispersive systems. Ph.D. Thesis. University of Neuchâtel; 2003.
53. Cirpka O., Kitanidis P. Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments. Water Resour Res 2000, 36(5):1221-1236. ISSN: 0043-1397.
54. Reilly T., Pollock D. Sources of water to wells for transient cyclic systems. Ground Water 1996, 34(6):979-988. ISSN: 0017-467X.
55. Jaynes E. Information theory and statistical mechanics. Phys Rev 1957, 106(4):620-630. ISSN: 0031-899X.
56. Woodbury A., Ulrych T. Minimum relative entropy and probabilistic inversion in groundwater hydrology. Stoch Hydrol Hydraul 1998, 12(5):317-358. ISSN: 0931-1955.
57. DVGW. Arbeitsblatt W101: Richtlinien fuer Trinkwasserschutzgebiete, Teil 1: Schutzgebiete fuer Grundwasser; 2006.
58. ISO/IEC: 31010. Risk management - risk assessment techniques. International Electrotechnical Commission, IEC; 2009.
59. Scheidegger A. General theory of dispersion in porous media. J Geophys Res 1961, 66(10):3273. ISSN: 0148-0227.
60. Neupauer R., Wilson J. Adjoint method for obtaining backward-in-time location and travel time probabilities of a conservative groundwater contaminant. Water Resour Res 1999, 35(11):3389-3398. ISSN: 0043-1397.
61. Wackerly D., Mendenhall W., Scheaffer R. Mathematical statistics with applications 2002, Duxbury Press, ISBN: 0495110817/ISBN-13: 9780495110811. 7th ed.
62. Jaynes E. Probability theory: the logic of science 2003, Cambridge University Press.
63. Mohammad-Djafari A. A Matlab Program to calculate the maximum entropy distributions. Fundamental theories of physics 2001, vol. 50:221-234. Kluwer Academic Publishers, doi:2001physics.11126M. C. Smith, G. Erickson, P. Neudorfer (Eds.).
64. Abramowitz M., Stegun I. Chapter 25.4: gaussian quadrature. Handbook of mathematical functions with formulas, graphs, and mathematical tables 1964, Dover Publications.
65. Delhomme J. Spatial variability and uncertainty in groundwater-flow parameters - geostatistical approach. Water Resour Res 1979, 15(2):269-280. ISSN: 0043-1397.
66. Kitanidis P. Parameter uncertainty in estimation of spatial functions: Bayesian analysis. Water Resour Res 1986, 22(4):499-507.
67. Riva M., Willmann M. Impact of log-transmissivity variogram structure on groundwater flow and transport predictions. Adv Water Resour 2009, 32(8):1311-1322. ISSN: 0309-1708.
68. Franssen H.J.H., Stauffer F., Kinzelbach W. Joint estimation of transmissivities and recharges - application: stochastic characterization of well capture zones. J Hydrol 2004, 294(1-3):87-102. ISSN: 0022-1694.
69. Woodbury A., Ulrych T. A full-Bayesian approach to the groundwater inverse problem for steady state flow. Water Resour Res 2000, 36(8):2081-2093.
70. Pardo-Iguzquiza E. Bayesian inference of spatial covariance parameters. Math Geol 1999, 31(1):47-65.
71. Fritz J., Neuweiler I., Nowak W. Application of FFT-based algorithms for large-scale universal kriging problems. Math Geosci 2009, 41(5):509-533.
72. Snyder C., Bengtsson T., Bickel P., Anderson J. Obstacles to high-dimensional particle filtering. Mon Weather Rev 2008, 136(12):4629-4640. ISSN: 0027-0644.
73. Shao J., Tu D. The jackknife and bootstrap 1995, Springer, ISBN-10: 0387945156/ISBN-13: 978-0387945156.
74. Handcock M., Stein M. A Bayesian analysis of kriging. Technometrics 1993, 35(4):403-410.
75. Nowak W., Schwede R., Cirpka O., Neuweiler I. Probability density functions of hydraulic head and velocity in three-dimensional heterogeneous porous media. Water Resour Res 2008, 44:W08452. 10.1029/2007WR006383.
76. Hassan A., Andricevic R., Cvetkovic V. Evaluation of analytical solute discharge moments using numerical modeling in absolute and relative dispersion frameworks. Water Resour Res 2002, 38(2):W1009.
77. Sousa M., Frind E.O., Rudolph D. Addressing uncertainty in source water protection: objective-based capture probability. GQ10: Groundwater quality management in a rapidly changing world: proceedings of the 7th international groundwater quality conference 2011, IAHS Red Book. M. Schirmer (Ed.).
78. Haggerty R., Gorelick S. Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity. Water Resour Res 1995, 31(10):2383-2400.
79. Bakr M.I., Butler A.P. Worth of head data in well-capture zone design: deterministic and stochastic analysis. J Hydrol 2004, 290(3-4):202-216. ISSN: 0022-1694.
80. Hoeting J.A., Madigan D., Raftery A.E., Volinsky C.T. Bayesian model averaging: a tutorial. Stat Sci 1999, 14(4):382-401. ISSN: 0883-423.