Evaluation of probabilistic flow in two unsaturated soils

Hydrogeology Journal

Volumn 9, Issue 6, 2001, Pages 543-554

  Boateng, Samuel ^a,b  

^a ILLINOIS STATE UNIVERSITY   (United States)

^b NORTHERN KENTUCKY UNIVERSITY   (United States)

Author keywords

Hydraulic properties; Probabilistic modeling; Sensitivity; Unsaturated flow; Water content

Indexed keywords

EID: 19544362726     PISSN: 14312174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10040-001-0164-6     Document Type: Review

References (35)

1. Boateng S (1996) Probabilistic and sensitivity analysis of two-dimensional flow and transport in partially saturated porous media. PhD Thesis, University of Missouri-Rolla, USA
2. Boateng S, Cawlfield JD (1999) Two dimensional sensitivity analysis of contaminant transport in the unsaturated zone. Ground Water 37:185-193
3. Cawlfield JD, Sitar N (1988) Stochastic finite element analysis of groundwater flow using first-order reliability method. IAHS Publ 175:191-216
4. Cawlfield JD, Wu M-C (1993) Probabilistic sensitivity analysis of one-dimensional reactive transport in porous media. Water Resour Res 29:661-672
5. Dagan G, Bresler E (1979) Solute dispersion in unsaturated heterogeneous soil at field scale. I. Theory. Soil Sci Soc Am J 43:461-467
6. Dagan G, Bresler E (1983) Unsaturated flow in spatially variable fields. 1: Derivation of models of infiltration and redistribution. Water Resour Res 19: 413-424
7. Der Kiureghian A, Ke J-B (1985) Finite-element based reliability analysis of frame structures. In: Proc 4th Int Conf on Structural Safety and Reliability, Columbia University, New York, pp 395-404
8. Der Kiureghian A, Liu P-L (1985) Structural reliability under incomplete probability information. Rep UCBISESM-85/01, Department of Civil Engineering, University of California, Berkeley
9. Der Kiureghian A, Lin H-Z, Hwang S-J (1987) Second order reliability approximations. J Eng Mech Am Soc Civ Eng 113: 1208-1225
10. Gardner WR (1958) Some steady state solutions of unsaturated moisture flow equations with application to evaporation from a water table. Soil Sci 85:228-232
11. Hamed MM, Conte JP, Bedient PB (1995) Probabilistic screening tool for ground-water contamination assessment. J Environ Eng 121:767-775
12. Harter T, Zhang D (1999) Water flow and solute spreading in heterogeneous soils with spatially variable water content. Water Resour Res 35:415-426
13. Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech Am Soc Civ Eng 100:111-121
14. Hopmans JW, Stricker JNM (1989) Stochastic analysis of soil water regime in a watershed. J Hydrol 105:57-84
15. Jang Y-S, Sitar N, Der Kiureghian A (1994) Reliability analysis of contaminant transport in unsaturated porous media. Water Resour Res 30:2435-2448
16. Jazwinsky AH (1978) Stochastic filtering and theory, Academic Press, San Diego
17. Li B, Yeh T-CJ (1999) Cokriging estimation of the conductivity field under variably saturated flow conditions. Water Resour Res 35:3663-3674
18. Liu P-L, Der Kiureghian A (1988) Optimization algorithms for structural reliability. In: Computational probability mechanics, Rep ADM-93, American Society of Mechanical Engineers, New York, pp 185-196
19. Lumley JL, Panofsky A (1964) The structure of atmospheric turbulence. Wiley, New York
20. Madsen HO, Krenk S, Lind NC (1986) Methods of structural safety. Prentice Hall, Englewood Cliffs, New Jersey
21. Mantoglou A, Gelhar LW (1987) Stochastic modeling of large-scale transient unsaturated flow systems. Water Resour Res 23:37-46
22. Mualem Y (1976) A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513-522
23. Padilla IY, Yeh T-CJ, Conklin MH (1999) The effect of water content on solute transport in unsaturated porous media. Water Resour Res 35:3303-3313
24. Rackwitz R, Fiessler B (1978) Structural reliability under combined load sequences. Comput Struct 9:489-494
25. Russo D (1988) Determining soil hydraulic properties by parameter estimation: on the selection of a model for the hydraulic properties. Water Resour Res 24:453-459
26. Russo D (1991) Stochastic analysis of simulated vadose zone solute transport in a vertical cross section of heterogeneous soil during unsteady water flow. Water Resour Res 27:267-283
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 microdispersion for solute transport in a heterogeneous unsaturated porous formation. Water Resour Res 29:383-397
29. Russo D (1998) Stochastic analysis of flow and transport in unsaturated heterogeneous porous formations: effects of variability in water saturation. Water Resour Res 34:569-581
30. Russo D, Bresler E (1981a) Effect of field variability in soil hydraulic properties on unsaturated water and salt flows. Soil Sci Soc Am J 45:675-681
31. Russo D, Bresler E (1981b) Soil hydraulic properties as stochastic processes. I: An analysis of field spatial variability. Soil Sci Soc Am J 45:682-687
32. Simunek J, Vogel T, van Genuchten MT (1993) SWMS_2D: simulating water flow and solute transport in two-dimensional variably saturated media. IGWMC-FOS 61, version 1.1.1, International Groundwater Modeling Center, Golden, Colorado
33. Sitar N, Cawlfield JD, Der Kiureghian A (1987) First-order reliability approach to stochastic analysis of subsurface flow and contaminant transport. Water Resour Res 23:794-804
34. van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivities of unsaturated soils. Soil Sci Soc Am J 44:892-898
35. Xiang Y, Mishra S (1997) Probabilistic multiphase flow modeling using the limit-state method. Ground Water 35:820-824