Infiltration in stratified, heterogeneous soils: Relative importance of parameters and model variations

Water Resources Research

Volumn 38, Issue 11, 2002, Pages 14-1-14-15

  Avanidou, Theodora ^a   Paleologos, Evan K ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

Author keywords

Relative importance; Stochastic hydrology; Unsaturated zone

Indexed keywords

MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; SOILS; STATISTICAL METHODS;

HETEROGENEOUS SOILS;

INFILTRATION;

HETEROGENEITY; HYDRAULIC CONDUCTIVITY; INFILTRATION; VADOSE ZONE;

EID: 0036879869     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr000725     Document Type: Article

References (47)

1. Avanidou, T., Infiltration in stratified soils: Relative importance of parameters and model variations, M.S. thesis, 107 pp., Univ. of S. C., Columbia, 2000.
2. Boateng, S., and J. D. Cawlfield, Two-dimensional sensitivity analysis of contaminant transport in the unsaturated zone, Ground Water, 37(2), 185-193, 1999.
3. Buesch, D. C., R. W. Spengler, T. C. Moyer, and J. K. Geslin, Proposed stratigraphic nomenclature and macroscopic identification of lithostratigraphic units of the Paintbrush Group exposed at Yucca Mountain, Nevada, U.S. Geol. Surv. Open File Rep., 94-469, 45 pp., 1996.
4. Chen, Z., R. S. Govindaraju, and M. L. Kavvas, Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields, 1, Development of models, Water Resour. Res., 30(2), 523-533, 1994a.
5. Chen, Z., R. S. Govindaraju, and M. L. Kavvas, Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields, 2, Numerical simulations, Water Resour. Res., 30(2), 535-548, 1994b.
6. Dagan, G., and E. Bresler, Unsaturated flow in spatially variable fields, 1, Derivation of models of infiltration and redistribution, Water Resour. Res., 19(2), 413-420, 1983.
7. Freeze, R. A., A stochastic conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media, Water Resour. Res., 11, 725-741, 1975.
8. Gardner, W. R., Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table, Soil Sci., 85(4), 228-232, 1958.
9. Harter, T., and T.-C. J. Yeh, Conditional stochastic analysis of solute transport in heterogeneous, variably saturated soils, Water Resour. Res., 32(6), 1597-1609, 1996.
10. Harter, T., and T.-C. J. Yeh, Flow in unsaturated random porous media, nonlinear numerical analysis and comparison to analytical stochastic models, Adv. Water Resour., 22(3), 257-272, 1998.
11. Harter, T., and D. Zhang, Water flow and solute spreading in heterogeneous soils with spatially variable water content, Water Resour. Res., 35(2), 415-426, 1999.
12. Hughson, D. L., and T.-C. J. Yeh, A geostatistica based inverse model for three-dimensional variably saturated flow, Stochastic Hydrol. Hydraul., 12, 285-298, 1998.
13. Law, A. M., and W. D. Kelton, Simulation Modeling and Analysis, McGraw-Hill, New York, 1982.
14. Lerche, I., Ranges of probable uncertainty in gas resource estimates for the USA, Energy Exp. Exploitation, 12(5), 381-392, 1994.
15. Looney, B. B., and R. W. Falta, Vadose Zone Science and Technology Solutions, Battelle, Columbus, Ohio, 2000.
16. Mishra, S., Y. Xiang, B. Dunlap, and R. W. Andrews, Analysis of steady-state infiltration into Yucca Mountain using 1-D and 2-D models: Preliminary results, Rep. B00000000-01717-0200-00123, Dep. of Energy, Washington, D. C. 1994.
17. Nielsen, D. R., J. W. Biggar, and K. T. Erh, Spatial variability of field-measured soil-water properties, Hilgardia, 42, 215-260, 1973.
18. Paleologos, E. K., and I. Lerche, Multiple decision-making criteria in the transport and burial of hazardous and radioactive wastes, Stochastic Environ. Res. Risk Assess., 13(6), 381-395, 1999.
19. Reeves, M., N. A. Baker, and J. O. Duguid, Review and selection of unsaturated flow models, Rep. B00000000-01425-2200-00001. Rev.00, Dep. of Energy, Washington, D. C., 1994.
20. Rousseau, J. P., E. M. Kwicklis, and D. C. Gillies, Hydrogeology of the unsaturated zone, north ramp area of the exploratory studies facility, Yucca Mountain, Nevada, U.S. Geol. Surv. Water Resour. Invest., 98-4050, 1999.
21. Russo, D., A geostatistical approach to the trickle irrigation design in heterogeneous soil, 1, Theory, Water Resour. Res., 19, 632-642, 1983.
22. Russo, D., A geostatistical approach to the solute transport in heterogeneous fields and its applications to salinity management, Water Resour. Res., 20, 1260-1270, 1984.
23. Russo, D., Stochastic analysis of flow and transport in unsaturated heterogeneous porous formation: Effects of variability in water saturation, Water Resour. Res., 34, 569-581, 1998.
24. Russo, D., and M. Bouton, Statistical analysis of spatial variability in unsaturated flow parameters, Water Resour. Res., 28, 1911-1925, 1992.
25. Russo, D., I. Russo, and A. Laufer, On the spatial variability of parameters of the unsaturated hydraulic conductivity, Water Resour. Res., 33, 947-956, 1997.
26. Smith, L., Spatial variability of flow parameters in a stratified sand, Math. Geol., 13(1), 1-21, 1981.
27. Smith, R. E., and B. Diekkruger, Effective soil water characteristics and ensemble soil water profiles in heterogeneous soils, Water Resour. Res., 32, 1993-2002, 1996.
28. Stephens, D. B., Vadose Zone Hydrology, CRC Press, Boca Raton, Fla., 1996.
29. Sudicky, E. A., A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity, Water Resour. Res., 22, 2069-2082, 1986.
30. Tartakovsky, D. M., S. P. Neuman, and Z. Lu, Conditional Stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation, Water Resour. Res., 35, 731-745, 1999.
31. Thomsen, R. O., and I. Lerche, Relative contributions to uncertainties in reserve estimates, Mar. Petrol. Geol., 14(1), 65-74, 1997.
32. Unlu, K., M. L. Kavvas, and D. R. Nielsen, Stochastic analysis of field measured unsaturated hydraulic conductivity, Water Resour. Res., 25(12), 2511-2519, 1989.
33. Unlu, K., D. R. Nielsen, J. W. Biggar, and F. Morkoc, Statistical parameters characterizing the spatial variability of selected soil hydraulic properties, Soil Sci. Soc. Am. J., 54, 1537-1547, 1990a.
34. Unlu, K., D. R. Nielsen, and J. W. Biggar, Stochastic analysis of unsaturated flow: One-dimensional Monte Carlo simulations and comparison with spectral perturbation analysis and field observations, Water Resour. Res., 26, 2207-2218, 1990b.
35. van Genuchten, M. T., A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
36. Warrick, A. W., G. J. Mullen, and D. R. Nielsen, Predictions of the soil water flux based upon field-measured soil-water properties, Soil Sci. Soc. Am. J., 41, 414-419, 1977.
37. White, I., and M. J. Sully, On the variability and use of the hydraulic conductivity alpha parameter in stochastic treatments of unsaturated flow, Water Resour. Res., 28, 209-213, 1992.
38. Wierenga, P. J., R. G. Hills, and D. B. Hudson, The Las Cruces trench site: Characterization, experimental results, and one-dimensional flow predictions, Water Resour. Res., 27, 2695-2705, 1991.
39. Wilson, M. L., et al., Total-system performance assessment for Yucca Mountain-SNL second iteration, (TSPA-1993), Tech. Rep. SAND93-2675, Sandia Natl. Lab., Albuquerque, N. M., 1994.
40. Woodbury, A. D., and E. A. Sudicky, The geostatistical characteristics of the Borden aquifer, Water Resour. Res., 27, 533-546, 1991.
41. Yeh, T.-C. J., One-dimensional steady state infiltration in heterogeneous soils, Water Resour. Res., 25, 2149-2158, 1989.
42. Yeh, T.-C. J., and J. Zhang, A geostatistical inverse method for variably saturated flow in the vadose zone, Water Resour. Res., 32, 2757-2766, 1996.
43. Yeh, T.-C. J., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 1, Statistically isotropic media, Water Resour. Res., 21, 447-456, 1985a.
44. Yeh, T.-C. J., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 2, Statistically anisotropic media with variable α, Water Resour. Res., 21, 457-464, 1985b.
45. Yeh, T.-C. J., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 3, Observations and applications, Water Resour. Res., 21, 465-472, 1985c.
46. Yeh, T.-C. J., L. W. Gelhar, and P. J. Wierenga, Observations of spatial variability of soil-water pressure in a field soil, Soil Sci., 142(1), 7-12, 1986.
47. Zhang, J., and T.-C. J. Yeh, An iterative geostatistical inverse method for steady state flow in the vadose zone, Water Resour. Res., 33, 63-71, 1997.