Probabilistic sensitivity analysis for one-dimensional contaminant transport in the vadose zone

Journal of Contaminant Hydrology

Volumn 24, Issue 2, 1996, Pages 97-115

  Piggott, John H ^a,b   Cawlfield, Jeffrey D ^a  

^a Architectural and Environmental Engineering   (United States)

^b EASTERN ILLINOIS UNIVERSITY   (United States)

Author keywords

contaminant transport; probabilistic model; sensitivity; vadose zone

Indexed keywords

ALGORITHM; ARTICLE; POLLUTION TRANSPORT; PRIORITY JOURNAL; WATER POLLUTION;

POLLUTANT TRANSPORT; POROUS MEDIA-FLOW THROUGH;

CONTAMINANT TRANSPORT; POROUS MEDIUM; PROBABILISTIC MODEL; SENSITIVITY ANALYSIS; VADOSE ZONE;

EID: 0030274208     PISSN: 01697722     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-7722(96)00003-4     Document Type: Article

References (37)

1. Anderson, J. and Shapiro, A.M., 1983. Stochastic analysis of one-dimensional steady state unsaturated flow: A comparison of Monte Carlo and perturbation methods. Water Resour. Res., 19(1): 121-133.
2. Bakr, A.A., Gelhar, L.W., Gutjahr, A.L. and MacMillan, J.R., 1978. Stochastic analysis of spatial variability in subsurface flows, 1. Comparison of one-and three-dimensional flows. Water Resour. Res., 14(2): 263-271.
3. Brakensiek, D.L., Engleman, R.L. and Rawls, W.J., 1981. Variations within texture classes of soil water parameters. Trans. Am. Soc. Agric. Eng., 24(2): 335-339.
4. Carsel, R.F. and Parrish, R.S., 1988. Developing joint probability distributions of soil water retention characteristics. Water Resour. Res., 24(5): 755-769.
5. Cawlfield, J.D. and Sitar, N., 1987. Application of first-order reliability to stochastic finite element analysis of groundwater flow. Dep. Civ. Eng., Univ. of Calif., Berkeley, CA, Rep. No. UCB/GT/87-01.
6. Cawlfield, J.D. and Sitar, N., 1988. Stochastic finite element analysis of groundwater flow using the first-order reliability method. In: Pech et al. (Editors), Consequences of Spatial Variability in Aquifer Properties and Data Limitations for Groundwater Modeling Practice. Int. Assoc. Hydrol. Sci., pp. 175, 191-216.
7. Cawlfield, J.D. and Wu, M.-C., 1993. Probabilitic analysis for one-dimensional reactive transport in porous media. Water Resour. Res., 29(3): 661-672.
8. Chrysikopoulos, C.V., Kitanidis, P.K. and Roberts, P.V., 1990. Analysis of one-dimensional solute transport through porous media with spatially variable retardation factor. Water Resour. Res., 26(3): 437-446.
9. Clifton, P.M. and Neuman, S.P., 1982. Effects of kriging and inverse modeling on conditional simulation of the Avra valley aquifer in southern Arizona. Water Resour. Res., 18(4): 1215-1234.
10. Der Kiureghian, A. and Liu, P.-L., 1986. Structural reliability under incomplete probability information. J. Eng. Mech., Proc. Am. Soc. Civ. Eng., 112(1): 85-104.
11. Der Kiureghian, A., Lin, H.-L. and Hwang, S.-J., 1987. Second-order reliability approximation. J. Eng. Mech., Proc. Am. Soc. Civ. Eng., 113(9): 1208-1225.
12. Freeze, R.A., 1975. A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resour. Res., 11(5): 725-741.
13. Gutjahr, A.L. and Gelhar, L.W., 1981. Stochastic models of subsurface flow: Infinite versus finite domains and stationarity. Water Resour. Res., 17(2): 337-350.
14. Gutjahr, A.L., Gelhar, L.W., Bakr, A.A. and MacMillan, J.R., 1978. Stochastic analysis of spatial variability in subsurface flows, 2. Evaluation and applications. Water Resour. Res., 14(5): 953-959.
15. Hasofer, A.M. and Lind, N.C., 1974. Exact and invariant second-moment code format. J. Eng. Mech., Proc. Am. Soc. Civ. Eng., 100(EM1): 111-121.
16. Hopmans, J.W., Schukking, H. and Torfs, P.J.J., 1988. Two-dimensional steady state unsaturated flow in heterogeneous soils with autocorrelated soil hydraulic properties. Water Resour. Res., 24(12): 2005-2017.
17. Kool, J.B. and van Genuchten, M.Th., 1991. HYDRUS - One-dimensional variably saturated flow and transport model including hysteresis and root water uptake. U.S. Salin. Lab., U.S. Dep. Agric., Agric. Res. Serv., Riverside, CA.
18. Liu, P.-L. and Der Kiureghian, A., 1988. Optimization algorithms for structural reliability. In: Computational Probabilistic Mechanics. Am. Soc. Mech. Eng., New York, NY, Rep. ADM-93, pp. 185-196.
19. Mantoglou, A. and Gelhar, L.W., 1987. Stochastic modeling of large scale transient unsaturated flow systems. Water Resour. Res., 23(1): 37-46.
20. Masden, H.O., Krenk, S. and Lind, N.C., 1986. Methods of Structural Safety. Prentice-Hall, Englewood Cliffs, NJ, 403 pp.
21. Mizell, S.A., Gutjahr, A.L. and Gelhar, L.W., 1982. Stochastic analysis of spatial variability in two-dimensional steady ground water flow assuming stationary and nonstationary heads. Water Resour. Res., 18(4): 1053-1067.
22. Mualem, Y., 1976. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res., 12(3): 513-522.
23. Nichols, W.E. and Freshley, M.D., 1993. Uncertainity analysis of unsaturated zone travel time at Yucca Mountain. Ground Water, 31(2): 293-301.
24. Nofzinger, D.L., Chen, J.-S. and Haan, C.T., 1993. Evaluation of unsaturated/vadose zone models for superfund sites. U.S. Environ. Prot. Agency, R.S. Kerr Environ. Res. Lab., Ada, OK, EPA 600/RSKERL-Ada 9331, CR-818700.
25. Rackwitz, R. and Fiessler, B., 1978. Structural reliability under combined load sequences. Comput. Structures, 9: 489-494.
26. Richards, L.A., 1931. Capillary conduction of liquids through porous mediums. Physics, 1: 318-333.
27. Russo, D., 1992. Stochastic analysis of spatial variability in unsaturated flow parameters. Water Resour. Res., 28: 1911-1925.
28. Russo, D., 1993. Stochastic modeling of macrodispersion for solute transport in a heterogenous saturated porous formation. Water Resour. Res., 29: 383-397.
29. Sitar, N., Cawlfield, J.D. and Der Kiureghian, A., 1987. First-order reliability approach to stochastic analysis of subsurface flow and contaminant transport. Water Resour. Res., 23(5): 794-804.
30. Smith, L., 1981. Spatial variability of flow parameters in a stratified sand. In: Mathematical Geology, Vol. 13, No. 1. Plenum, New York, NY, pp. 1-21.
31. Smith, L. and Freeze, R.A., 1979. Stochastic analysis of steady state groundwater flow in a bounded domain, 1. One-dimensional simulations. Water Resour. Res., 15(3): 521-528.
32. Ünlü, K., Nielsen, R. and Biggar, J.W., 1990. Stochastic analysis of unsaturated flow: one-dimensional Monte Carlo simulations and comparisons with spectral pertubation analysis and field observations. Water Resour. Res., 26(9): 2207-2218.
33. van Genuchten, M.Th., 1980. A closed-form equation for predicting the hydraulic conductivities of unsaturated soils. Soil Sci. Soc. Am. J., 44: 892-898.
34. Wu, M.-C. and Cawlfield, J.D., 1992. Probabilistic sensitivity and modeling of two-dimensiional transport in porous media. In: Stochastic Hydrology and Hydraulics, No. 6. Springer, New York, NY, pp. 103-121.
35. Yeh, T.C.J., 1989. One-dimensional steady state infiltration in heterogeneous soils. Water Resour. Res., 25(10): 2149-2158.
36. Yeh, T.C.J., Gelhar, L.W. and Gutjahr, A.L., 1985. Stochastic analysis of unsaturated flow in heterogeneous soils, 3. Observations and applications. Water Resour. Res., 21(4): 465-471.
37. Zhang, H., Haan, C.T. and Nofziger, D.L., 1993. An approach to estimating uncertainties in modeling transport of solutes through soils. J. Contam. Hydrol., 12: 35-50.