Stochastic analysis of transient flow in unsaturated heterogeneous soils

Water Resources Research

Volumn 36, Issue 4, 2000, Pages 891-910

  Foussereau, X ^a,b   Graham, W D ^a   Rao, P S C ^c  

^a UNIVERSITY OF FLORIDA   (United States)

^b CDM SMITH   (United States)

^c PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HETEROGENEOUS MEDIUM; SOIL; STOCHASTIC METHOD; TRANSIENT FLOW; UNSATURATED MEDIUM;

HETEROGENEOUS MEDIUM; STOCHASTICITY; TRANSIENT FLOW; UNSATURATED MEDIUM;

EID: 0034069981     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900342     Document Type: Article

References (51)

1. Akpoji, G. A., Groundwater modeling under uncertainty of the hydraulic conductivity, Ph.D. dissertation, Free Univ. of Brussels, Brussels, Belgium, 1993.
2. Brooks, R. H., and A. T. Corey, Hydraulic properties of porous media, Hydrol. Pap. 3, Colo. State Univ., Fort Collins, 1964.
3. Butters, G. L., W. A. Jury, and F. F. Ernst, Field scale transport of bromide in an unsaturated soil, 1, Experimental methodology and results, Water Resour. Res., 25, 1575-1581, 1989.
4. Dagan, G., and E. Bresler, Solute dispersion in unsaturated heterogenous soil at field scale, 1, Theory, Soil Sci. Soc. Am. J., 43, 461-466, 1979.
5. Destouni, G., Applicability of the steady state flow assumption for solute advection in field soils, Water Resour. Res., 27, 2129-2140, 1991.
6. Destouni, G., The effect of vertical soil heterogeneity on field scale solute flux, Water Resour. Res., 28, 1303-1309, 1992.
7. Eagleson, P. S., Climate, soil, and vegetation, 1, Introduction to water balance dynamics, Water Resour. Res., 14, 705-712, 1978a.
8. Eagleson, P. S., Climate, soil, and vegetation, 2, The distribution of annual precipitation derived from observed storm sequences. Water Resour. Res., 14, 713-721, 1978b.
9. Eagleson, P. S., Climate, soil, and vegetation, 3, A simplified model of soil moisture movement in the liquid phase, Water Resour. Res., 14, 722-730, 1978c.
10. Eagleson, P. S., Climate, soil, and vegetation, 4, The expected value of annual evaporation, Water Resour. Res., 14, 731-739, 1978d.
11. Eagleson, P. S., Climate, soil, and vegetation, 5, A derived distribution of storm surface runoff. Water Resour. Res., 14, 741-748, 1978e.
12. Eagleson, P. S., Climate, soil, and vegetation, 6, Dynamics of the annual water balance, Water Resour. Res., 14, 749-764, 1978f.
13. Eagleson, P. S., Climate, soil, and vegetation, 7, A derived distribution of annual water yield, Water Resour. Res., 14, 765-776, 1978g.
14. Foussereau, X., Stochastic analysis of field scale solute transport in heterogeneous variably saturated soil under a transient flow regime, Ph.D. dissertation, Univ. of Fla., Gainesville, 1999.
15. Foussereau, X., W. D. Graham, G. A. Akpoji, G. Destouni, and P. S. C. Rao, Stochastic analysis of transport in unsaturated heterogeneous soils under transient flow regimes, Water Resour. Res., this issue.
16. Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice-Hall, Englewood Cliffs, N. J., 1993.
17. Harter, T., and T.-C. J. Yeh, Stochastic analysis of solute transport in heterogeneous, variably saturated soils, Water Resour. Res., 32, 1585-1595, 1996.
18. 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, 257-272, 1998.
19. Harter, T., and D. Zhang, Water flow and solute spreading in heterogeneous soils with spatially variable water content, Water Resour. Res., 35, 415-426, 1999.
20. Healy, R. W., Simulation of solute transport in variably saturated porous media with supplemental information on modification to the US Geological survey's computer program VS2D, U.S. Geol. Surv. Water Resour. Invest. Rep., 90-4025, 1990.
21. Journel, A. G., and C. J. Huijbrecht, Mining Geostatistics, Academic, San Diego, Calif., 1978.
22. Jury, W. A., Simulation of solute transport using a transfer function model, Water Resour. Res., 18, 363-368, 1982.
23. Jury, W. A., and J. Gruber, A stochastic analysis of the influence of soil and climatic variability on the estimate of pesticide groundwater pollution potential, Water Resour. Res., 25, 2465-2474, 1989.
24. Jury, W. A., and R. Roth, Transfer Function and Solute Movement Through Soil: Theory and Applications, Birkhäuser, Basel, Switzerland, 1990.
25. Jury, W. A., G. Sposito, and R. White, A transfer function model of solute transport through soil, 1, Fundamental concepts, Soil Sci. Soc. Am. J., 22, 243-247, 1986.
26. Katul, G., P. Todd, and D. Pataki, Soil water depletion by oak trees and the influence of root water uptake on the moisture content spatial statistics, Water Resour. Res., 33, 611-623, 1997.
27. Kendall, M., and A. Stuart, The Advanced Theory of Statistics, vol. 3, MacMillan, New York, 1977.
28. Laliberte, G. E., A. T. Corey, and R. H. Brooks, Properties of unsaturated porous media, Hydrol. Pap. 17, Colo. State Univ., Fort Collins, 1966.
29. Lappala, E. G., R. W. Healy, and E. P. Weeks, Documentation of computer program VS2D to solve the equations of fluid flow in variably saturated porous media, U.S. Geol. Surv. Water Resour. Invest. Rep., 83-4099, 1993.
30. Mantoglou, A., and L. W. Gelhar, Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils, Water Resour. Res., 23, 47-56, 1987a.
31. Mantoglou, A., and L. W. Gelhar, Effective hydraulic conductivities of transient unsaturated flow in stratified soils, Water Resour. Res., 23, 57-67, 1987b.
32. Mantoglou, A., and L. W. Gelhar, Stochastic modeling of large-scale transient unsaturated flow systems, Water Resour. Res., 23, 37-46, 1987c.
33. Mei, C. C., Perturbation methods: The art of approximation, in Mathematical Analysis in Engineering: How to Use the Basic Tools, pp. 342-407, Cambridge Univ. Press, New York, 1997.
34. Mood, A. M., F. A. Graybill, and D. C. Boes, Introduction to the Theory of Statistics, 3rd ed., McGraw-Hill, New York, 1974.
35. Parlange, M. B., G. G. Katul, R. H. Cuenca, M. L. Kavvas, D. R. Nielsen, and M. Mata, Physical basis for a time series model of soil water content, Water Resour. Res., 28, 2437-2446, 1992.
36. Polmann, D. J., D. McLaughlin, S. Luis, L. W. Gelhar, and R. Abadou, Stochastic modeling of large-scale flow in heterogeneous unsaturated soils, Water Resour. Res., 27, 1447-1458, 1991.
37. Richardson, C. W., and D. A. Wright, WGEN: A model for generating daily weather variables, Rep. ARS-8, U.S. Dep. of Agric., Agric. Res. Serv., Grassland, Soil, and Water Res. Lab., Temple, Tex., 1984.
38. Russo, D., Stochastic analysis of simulated vadose zone solute transport in a vertical cross section of heterogeneous soil during nonsteady water flow, Water Resour. Res., 27, 267-283, 1991.
39. Russo, D., Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation, Water Resour. Res., 29, 383-397, 1993a.
40. Russo, D., Stochastic modeling of solute flux in a heterogenous partially saturated porous formation, Water Resour. Res., 29, 1731-1744, 1993b.
41. 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.
42. Russo, D., J. Zaidel, and A. Laufer, Stochastic analysis of solute transport in partially saturated heterogeneous soil, 1, Numerical experiments, Water Resour. Res., 30, 769-779, 1994a.
43. Russo, D., J. Zaidel, and A. Laufer, Stochastic analysis of solute transport in partially saturated heterogeneous soil, 2, Prediction of solute spreading and breakthrough, Water Resour. Res., 30, 781-790, 1994b.
44. Russo, D., J. Zaidel, and A. Laufer, Numerical analysis of flow and transport in a three-dimensional partially saturated heterogeneous soil, Water Resour. Res., 34, 1451-1468, 1998.
45. Sassner, M., Model interpretation of field-scale tracer transport in soil, Licentiate thesis, Div. of Water Resour. Eng., R. Inst. of Technol., Stochholm, 1995.
46. Wolfram, S., Mathematica, A System for Doing Mathematics by Computer, 2nd ed., Addison-Wesley-Longman, Reading, Mass., 1991.
47. Yeh, T. C., 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.
48. Yeh, T. C., 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.
49. Yeh, T. C., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 3, Observation and applications, Water Resour. Res., 21, 465-471, 1985c.
50. Zhang, D., Nonstationary stochastic analysis of transient unsaturated flow in heterogeneous media, Water Resour. Res., 35, 1127-1141, 1999.
51. Zhang, D., T. C. Wallstrom, and C. L. Winter, Stochastic analysis of steady state unsaturated flow in heterogeneous media: Comparison of the Brooks-Corey model and Gardner-Russo models, Water Resour. Res., 34, 1437-1449, 1998.