New linearized two-parameter infiltration equation for direct determination of conductivity and sorptivity

Journal of Hydrology

Volumn 384, Issue 1-2, 2010, Pages 1-13

  Valiantzas, John D ^a  

^a AGRICULTURAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Inverse problem; Linear fitting; Parameter time invariant; Soil infiltration models; Vadoze zone hydrology

Indexed keywords

LINEAR FITTING; SOIL INFILTRATION; SOIL INFILTRATION MODELS; VADOZE ZONE; VADOZE ZONE HYDROLOGY;

GEOLOGIC MODELS; HYDROLOGY; INVERSE PROBLEMS; LINEARIZATION; MEASUREMENT ERRORS; NONLINEAR EQUATIONS; RANDOM ERRORS; SEEPAGE; SOIL MECHANICS; SOILS; WATER;

SOIL SURVEYS;

HYDRAULIC CONDUCTIVITY; INFILTRATION; INVERSE PROBLEM; NONLINEARITY; SOIL PROFILE; VADOSE ZONE;

EID: 77649181727     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2009.12.049     Document Type: Article

References (32)

1. Barry D.A., Parlange J.-Y., Haverkamp R., and Ross J.P. Infiltration under ponded conditions: 4. An explicit predictive infiltration formula. Soil Sci. 160 (1995) 8-17
2. Brutsaert W. Vertical infiltration in dry soil. Water Resour. Res. 13 (1977) 363-368
3. Clausnitzer V., Hopmans J.W., and Starr J.L. Parameter uncertainty analysis of common infiltration models. Soil Sci. Soc. Am. J. 62 (1998) 1477-1487
4. Fuentes C., Haverkamp R., and Parlange J.-Y. Parameter constraints on closed-form soil-water relationships. J. Hydrol. 134 (1992) 117-142
5. Green W.A., and Ampt G.A. Studies on soils physics: 1. The flow of air and water through soils. J. Agric. Sci. (Cambridge) 4 (1911) l-24
6. Haverkamp R., Kutilek M., Parlange J.-Y., Rendon L., and Krejca M. Infiltration under ponded conditions: 2. Infiltration equations tested for parameter time-dependence and predictive use. Soil Sci. 145 (1988) 317-329
7. Haverkamp R., Parlange J.-Y., Starr J.L., Schmitz G., and Fuentes C. Infiltration under ponded conditions: 3. A predictive equation based on physical parameters. Soil Sci. 149 (1990) 292-300
8. Hussen A.A., and Warrick A.W. Alternative analyses of hydraulic data from the disc tension infiltrometers. Water Resour. Res. 29 (1993) 4103-4108
9. Kutilek M., and Nielsen D.R. Soil Hydrology (1994), Catena-Verlag, Cremlingen, Germany
10. Marquardt D.W. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11 (1963) 431-441
11. Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12 (1976) 513-522
12. Parlange J.-Y. On solving the flow equation in unsaturated soils by optimization: horizontal infiltration. Soil Sci. Soc. Am. Proc. 39 (1975) 415-418
13. Parlange J.-Y., Lisle I., Braddock R.D., and Smith R.E. The three-parameter infiltration equation. Soil Sci. 133 (1982) 337-341
14. Parlange J.-Y., Haverkamp R., and Touma J. Infiltration under ponded conditions: 1. Optimal analytical solution and comparison with experimental observations. Soil Sci. 139 (1985) 305-311
15. Philip J.R. The theory of infiltration: 1. The infiltration equation and its solution. Soil Sci. 83 (1957) 345-357
16. Philip J.R. The theory of infiltration: 4. Sorptivity and algebraic infiltration equations. Soil Sci. 84 (1957) 257-264
17. Philip J.R. Theory of infiltration. Adv. Hydrosci. 5 (1969) 215-296
18. Philip J.R. Recent progress in the solution of nonlinear diffusion equations. Soil Sci. 117 (1974) 257-264
19. Philip J.R. The infiltration joining problem. Water Resour. Res. 12 (1987) 2239-2245
20. Poulovassilis A., Elmaloglou S., Kerkides P., and Argyrokastritis I. A variable sorptivity infiltration equation. Water Resour. Manage. 3 (1989) 287-298
21. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in C. second ed. (1992), Cambridge Univ. Press, Cambridge, England
22. Simunek J., Sejna M., and van Genuchten M.Th. The HYDRUS-1D Software Package for Simulating the Movement of Water, Heat, and Multiple Solutes in Variably Saturated Media, version 2.0 (1998), US Salinity Laboratory, USDA, ARS, Riverside, Calif
23. Smiles D.E., and Knight J.H. A note on the use of the Philip infiltration equation. Aust. J. Soil Res. 14 (1976) 103-108
24. Stroosnijder L. Infiltratie en Herverdeling van Water in Gronde (1976), Versl. Landbouwkd, Onderz 847
25. Swartzendruber D. A quasi-solution of Richards' equation for the downward infiltration of water into soil. Water Resour. Res. 23 (1987) 809-817
26. Talsma T., and Parlange J.-Y. One-dimensional vertical infiltration. Aust. J. Soil Res. 10 (1972) 143
27. Touma J., Voltz M., and Albergel J. Determining soil saturated hydraulic conductivity and sorptivity from single ring infiltration tests. Eur. J. Soil Sci. 58 (2007) 229-238
28. van Genuchten M.Th. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44 (1980) 892-898
29. Vandervaere J.-P., Vauclin M., and Elrick D.E. Transient flow from tension infiltrometers: I. The two-parameter equation. Soil Sci. Soc. Am. J. 64 (2000) 1263-1272
30. Vogel T., van Genuchten M.Th., and Císlerová M. Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions. Adv. Water Resour. 24 (2001) 133-144
31. Warrick A.W. Soil Water Dynamics (2003), Oxford University Press, New York
32. Youngs E.G. An estimation of sorptivity for infiltration studies from moisture moments considerations. Soil Sci. 106 (1968) 157-163