Infiltration models for semi-infinite soil profiles

Water Resources Research

Volumn 47, Issue 8, 2011, Pages

  Basha, H A ^a  

^a AMERICAN UNIVERSITY OF BEIRUT   (Lebanon)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC EQUATIONS; ALGEBRAIC EXPRESSION; ANTECEDENT MOISTURE; APPROXIMATE SOLUTION; CONSTANT HEAD; EARLY-TO-LATE; FLOW CONDITION; FLUX RATES; GOVERNING EQUATIONS; INFILTRATION MODELS; INITIAL CONDITIONS; INVERSE ANALYSIS; KINEMATIC WAVES; MOISTURE RETENTION; PRACTICAL IMPORTANCE; PROFILE DEVELOPMENT; RAINFALL PATTERNS; SEMI-INFINITE MEDIUM; SIMPLE EXPRESSION; SOIL HYDRAULIC CONDUCTIVITY; SOIL HYDRAULIC PARAMETERS; SOIL PROFILES; SOIL WATER; SURFACE BOUNDARIES; SURFACE MOISTURES; TIME VARYING; TIME-DEPENDENT; WETTING FRONTS;

ALGEBRA; HYDRAULICS; PARAMETER ESTIMATION; RATIONAL FUNCTIONS; SEEPAGE; SOIL MECHANICS; SOIL MOISTURE; WATER CONTENT; WETTING;

GEOLOGIC MODELS;

HYDRAULIC CONDUCTIVITY; INFILTRATION; KINEMATICS; ONE-DIMENSIONAL MODELING; SOIL MOISTURE; SOIL PROFILE; SOIL WATER; WETTING;

EID: 80052043814     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010WR010253     Document Type: Article

References (40)

1. Basha, H. A. (1999), Multidimensional nonsteady infiltration with prescribed boundary conditions at the soil surface, Water Resour. Res., 35, 75-84, doi:10.1029/1998WR900015. (Pubitemid 29054149)
2. Broadbridge, P., and I. White (1987), Time to ponding: Comparison of analytic, quasi-analytic, and approximate predictions, Water Resour. Res., 23(12), 2302-2310, doi:10.1029/WR023i012p02302. (Pubitemid 18536165)
3. Broadbridge, P., and I. White (1988), Constant rate rainfall infiltration: A versatile nonlinear model. 1. Analytic solution, Water Resour. Res., 24(1), 145-154, doi:10.1029/WR024i001p00145. (Pubitemid 18549938)
4. Charbeneau, R. J. (1984), Kinematic models for soil moisture and solute transport, Water Resour. Res., 20(6), 699-706, doi:10.1029/WR020i006p00699.
5. Clothier, B. E., J. H. Knight, and I. White (1981), Burgers' equation: application to field constant-flux infiltration, Soil Sci., 132(4), 255-261. (Pubitemid 12260420)
6. Cole, J. D. (1951), On a quasi-linear parabolic equation occurring in aerodynamics, Q. Appl. Math., 9, 225-236.
7. Fujita, H. (1952), The exact pattern of a concentration-dependent diffusion in a semi-infinite medium, 2, Textile Res. J., 22, 823-827.
8. Germann, P. F., and K. Beven (1985), Kinematic wave approximation to infiltration into soils with sorbing macropores, Water Resour. Res., 21(7), 990-996, doi:10.1029/WR021i007p00990. (Pubitemid 15563036)
9. Greenberg, M. D. (1971), Application of Green's Functions in Science and Engineering, Prentice-Hall, Englewood Cliffs, NJ.
10. Haverkamp, R., J. Y. Parlange, J. L. Starr, G. Schmitz, and C. Fuentes (1990), Infiltration under ponded conditions: 3. A predictive equation based on physical parameters, Soil Sci., 149(5), 292-300.
11. xx, Commun. Pure Appl. Math., 3, 201-230.
12. Kirchhoff, G. (1894), Vorlesungen über die Theorie der Wärme, Barth, Leipzig.
13. Kühnel, V., C. I. Dooge, G. C. Sander, and J. P. J. O'Kane (1990), Duration of atmosphere-controlled and of soil-controlled phases of constant potential evaporation at the soil surface, Ann. Geophys., 8, 21-28.
14. Liu, M.-C., J.-Y. Parlange, M. Sivapalan, and W. Brutsaert (1998), A note on the time compression approximations, Water Resour. Res., 34, 3683-3686, doi:10.1029/98WR02741.
15. Parkin, G. W., D. E. Elrick, and R. G. Kachanoski (1992), Cumulative storage of water under constant flux infiltration: analytical solution, Water Resour. Res., 28(10), 2811-2818, doi:10.1029/92wr01271. (Pubitemid 23376416)
16. Parlange, J.-Y. (1971), Theory of water movement in soils: 2. One-dimensional infiltration, Soil Sci., 111(3), 170-174.
17. Parlange, J.-Y. (1975), A note on the Green and Ampt equation, Soil Sci., 119(6), 466-467.
18. Parlange, J.-Y. (1982), Simple method for predicting drainage from field plot-Comment, Soil Sci. Soc. Am. J., 46, 887-888.
19. Parlange, J.-Y., and R. E. Smith (1976), Ponding time for variable rainfall rates, Can. J. Soil Sci., 56, 121-123.
20. Parlange, J.-Y., I. Lisle, R. D. Braddock, and R. E. Smith (1982), The threeparameter infiltration equation, Soil Sci., 133(6), 337-341.
21. Philip, J. R. (1957a), The theory of infiltration: 2. The profile at infinity, Soil Sci., 83, 435-448.
22. Philip, J. R. (1957b), The theory of infiltration: 4. Sorptivity and algebraic infiltration equations, Soil Sci., 84, 257-264.
23. Philip, J. R. (1969), Theory of infiltration, Adv. Hydrosci., 5, 215-296
24. Richards, L. A. (1931), Capillary conduction of liquids through porous medium, Physics, 1, 318-333.
25. Sander, G. C., J.-Y. Parlange, V. Kuhnel, W. L. Hogarth, D. Lockington, and J. P. J. O'Kane (1988), Exact nonlinear solution for constant flux infiltration, J. Hydrol., 97(3-4), 341-346. (Pubitemid 18574444)
26. Sander, G. C., I. F. Cunning, W. L. Hogarth, and J.-Y. Parlange (1991), Exact solution for nonlinear, nonhysteretic redistribution in vertical soil of finite depth, Water Resour. Res., 27, 1529-1536, doi:10.1029/91WR00508.
27. Sisson, J. B., A. H. Ferguson, and M. Th. van Genuchten (1980), Simple method for predicting drainage from field plots, Soil Sci. Soc. Am. J., 44, 1147-1152. (Pubitemid 11470622)
28. Smith, R. E. (1983), Approximate soil water movement by kinematic characteristics, Soil Sci. Soc. Amer. J., 47, 3-8. (Pubitemid 14256039)
29. Smith, R. E., and R. H. B. Hebbert (1983), Mathematical simulation of interdependent surface and subsurface hydrologic processes, Water Resour. Res., 19(4), 987-1101, doi:10.1029/WR019i004p00987.
30. Smith, R. E., and J. Y. Parlange (1978), Parameter-efficient hydrologic infiltration model, Water Resour. Res., 14(3), 533-538, doi:10.1029/ WR014i003p00533.
31. Smith, R. E., C. Corradini, and F. Melone (1993), Modeling infiltration for multistorm runoff events, Water Resour. Res., 29(1), 133-144, doi:10.1029/92WR02093. (Pubitemid 23379485)
32. Smith, R. E., K. R. J. Smettem, P. Broadbridge, and D. A. Woolhiser (2002), Infiltration Theory for Hydrologic Applications, Vol. 15, AGU, Washington, D. C.
33. Storm, M. L. (1951), Heat conduction in simple metals, J. Appl. Phys., 22, 940-951.
34. Talsma, T., and J.-Y. Parlange (1972), One-dimensional vertical infiltration, Aust. J. Soil Res., 10, 143-150.
35. Triadis, D., and P. Broadbridge (2010), Analytical model of infiltration under constant-concentration boundary conditions, Water Resour. Res., 46, W03526, doi:10.1029/2009WR008181.
36. Warrick, A. W., D. O. Lomen, and A. Islas (1990), An analytical solution to Richards' equation for a draining soil profile, Water Resour. Res., 26, 253-258, doi:10.1029/WR026i002p00253.
37. Warrick, A. W., A. Islas, and D. O. Lomen (1991), An analytical solution to Richards' equation for time-varying infiltration, Water Resour. Res., 27(5), 763-766, doi:10.1029/91wr00310.
38. White, I., and P. Broadbridge (1988), Constant rate rainfall infiltration: A versatile nonlinear model. 2. Applications of solutions, Water Resour. Res., 24(1), 155-162, doi:10.1029/WR024i001p00155. (Pubitemid 18549939)
39. Witelski, T. P. (2005), Motion of wetting fronts moving into partially pre-wet soil, Adv. Water Resour., 28, 1133-1141, doi:10.1016/j.advwatres.2004. 06.006. (Pubitemid 41283319)
40. Zlotnik, V. A., T. Wang, J. L. Nieber, and J. Simunek (2007), Verification of numerical solutions of the Richards' equation using a traveling wave solution, Adv. Water Resour., 30(9), 1973-1980, doi:10.1016/j.advwatres. 2007.03.008. (Pubitemid 46939648)