Prediction of solute spreading during vertical infiltration in unsaturated, bounded heterogeneous porous media

Water Resources Research

Volumn 36, Issue 3, 2000, Pages 715-723

  Sun, Alexander Y ^a   Zhang, Dongxiao ^b  

^a Univ of California   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFILTRATION; POROUS MEDIUM; PREDICTION; SOLUTE TRANSPORT;

INFILTRATION; POROUS MEDIUM; PREDICTION; SOLUTE TRANSPORT;

EID: 0034059310     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999WR900344     Document Type: Article

References (29)

1. Clifton, P. M., and S. P. Neuman, Effects of kriging and inverse modeling on conditional simulation of the Avra valley aquifer in southern Arizona, Water Resour. Res., 18, 1215-1234, 1982.
2. Dagan, G., Solute transport in heterogeneous porous formations, J. Fluid Mech., 145, 151-177, 1984.
3. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
4. Dagan, G., and E. Bresler, Solute dispersion in unsaturated heterogeneous soil at field scale: Theory, Soil Sci. Soc. Am. J., 43, 461-467, 1979.
5. Destouni, G., Stochastic modeling of solute flux in the unsaturated zone at the field scale, J. Hydrol., 143(N1-2), 45-61, 1993.
6. Gardner, W. R., Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table, Soil Sci., 85, 228-232, 1958.
7. Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice-Hall, Englewood Cliffs, N. J., 1993.
8. Hoeksema, R. J., and P. K. Kitanidis, Analysis of the spatial structure of properties of selected aquifers. Water Resour. Res., 21, 563-572, 1985.
9. Indelman, P., and Y. Rubin, Solute transport in nonstationary velocity fields, Water Resour. Res., 32, 1259-1267, 1996.
10. Indelman, P., D. Or, and Y. Rubin, Stochastic analysis of unsaturated steady state flow through bounded heterogeneous porous formations, Water Resour. Res., 29, 1141-1148, 1993.
11. Jury, W. A., Simulation of solute transport using a transfer function model, Water Resour. Res., 18, 363-368, 1982.
12. Jury, W. A., and D. R. Scotter, A unified approach to stochastic-convective transport problems, Soil Sci. Soc. Am. J., 58, 1327-1336, 1994.
13. Jury, W. A., G. Sposito, and R. E. White, A transfer function model of solute transport through soil, 1, Fundamental concepts, Water Resour. Res., 22, 243-247, 1986.
14. Rubin, Y., Transport of inert solutes by groundwater: Recent developments and current issues, in Subsurface Flow and Transport: A Stochastic Approach, edited by G. Dagan and S. P. Neuman, pp. 115-132, Cambridge Univ. Press, New York, 1997.
15. Rubin, Y., and G. Dagan, Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers, 1, Constant head boundary, Water Resour. Res., 24, 1689-1697, 1988.
16. Rubin, Y., and G. Dagan, Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers, 2, Impervious head boundary, Water Resour. Res., 25, 707-712, 1989.
17. Russo, D., Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties, Water Resour. Res., 24, 453-459, 1988.
18. Russo, D., Stochastic analysis of simulated vadose zone solute transport in a vertical cross section of heterogeneous soils during non-steady water flow. Water Resour. Res., 27, 267-284, 1991.
19. Russo, D., Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation, Water Resour. Res., 29, 383-397, 1993.
20. Russo, D., On the velocity covariance and transport modeling in heterogeneous anisotropic porous formations, 2, Unsaturated flow. Water Resour. Res., 31, 139-145, 1995.
21. Russo, D., Stochastic analysis of solute transport in partially saturated heterogeneous soils, in Subsurface Flow and Transport: A Stochastic Approach, edited by G. Dagan and S. P. Neuman, pp. 196-206, Cambridge Univ. Press, New York, 1997.
22. Simmons, C. S., A stochastic-convective transport representative of dispersion in one-dimensional porous media systems. Water Resour. Res., 18, 1193-1214, 1982.
23. Sun, A. Y., and Y. Rubin, Travel time analysis of tracers and reactive solutes in the unsaturated zone, J. Hydraul. Res., 36(6), 979-1002, 1999.
24. Yeh, T.-C. J., One-dimensional steady state infiltration in heterogeneous soils, Water Resour. Res., 25, 2149-2158, 1989.
25. Yeh, T.-C. J., 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.
26. Yeh, T.-C. J., 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.
27. Zhang, D., Nonstationary stochastic analysis of transient unsaturated flow in randomly heterogeneous media. Water Resour. Res., 35, 1127-1141, 1999.
28. Zhang, D., and C. L. Winter, Nonstationary stochastic analysis of steady state flow through variably saturated, heterogeneous media, Water Resour. Res., 34, 1091-1100, 1998.
29. Zhang, D., T. C. Wallstrom, and C. L. Winter, Stochastic analysis of steady-state unsaturated flow in heterogeneous media: Comparison of the Brooks-Corey and Gardner-Russo models, Water Resour. Res., 34, 1437-1449, 1998.