Discussion of “Application of a Nonstandard Explicit Integration to Solve Green and Ampt Infiltration Equation” by D. R. Mailapalli, W. W. Wallender, R. Singh, and N. S. Raghuwanshi
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References
Barry, D. A., Barry, S. J., and Culligan-Hensley, P. J. (1995a). “Algorithm 743: WAPR: A FORTRAN routine for calculating real values of the -function.” ACM Trans. Math. Softw., 21(2), 172–181.
Barry, D. A., Culligan-Hensley, P. J., and Barry, S. J. (1995b). “Real values of the W-function.” ACM Trans. Math. Softw., 21(2), 161–171.
Barry, D. A., Parlange, J.-Y., and Haverkamp, R. (1995c). “Comment on ‘Falling head ponded infiltration’ by J. R. Philip.” Water Resour. Res., 31(3), 787–789.
Barry, D. A., Parlange, J.-Y., Haverkamp, R., and Ross, P. J. (1995d). “Infiltration under ponded conditions: 4. An explicit predictive infiltration formula.” Soil Sci., 160(1), 8–17.
Barry, D. A., Parlange, J.-Y., Li, L., Jeng, D.-S., and Crapper, M. (2005). “Green-Ampt approximations.” Adv. Water Resour., 28(10), 1003–1009.
Barry, D. A., Parlange, J.-Y., Sander, G. C., and Sivapalan, M. (1995e). “Comment on explicit expressions for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage.” Water Resour. Res., 31(5), 1445–1446.
Barry, D. A., Parlange, J.-Y., Sander, G. C., and Sivaplan, M. (1993). “A class of exact solutions for Richards’ equation.” J. Hydrol., 142(1–4), 29–46.
Clausnitzer, V., Hopmans, J. W., and Starr, J. L. (1998). “Parameter uncertainty analysis of common infiltration models.” Soil Sci. Soc. Am. J., 62(6), 1477–1487.
Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J., and Knuth, D. E. (1996). “On the Lambert function.” Adv. Comput. Math., 5(4), 329–359.
Fok, Y.- S., and Chiang, S.- H. (1984). “2-D infiltration equations for furrow irrigation.” J. Irrig. Drain. Eng., 110(2), 208–217.
Fuentes, C., Haverkamp, R., and Parlange, J.-Y. (1992). “Parameter constraints on closed-form soilwater relationships.” J. Hydrol., 134(1–4), 117–142.
Green, W. H., and Ampt, G. A. (1911). “Studies on soil physics, 1: The flow of air and water through soils.” J. Agric. Sci., 4(1), 1–24.
Haverkamp, R., Parlange, J.-Y., Starr, J. L., Schmitz, G., and Fuentes, C. (1990). “Infiltration under ponded conditions: 3. A predictive equation based on physical parameters.” Soil Sci., 149(5), 292–300.
Hsu, S. M., Ni, C.-F., and Hung, P.-F. (2002). “Assessment of three infiltration formulas based on model fitting on Richards equation.” J. Hydrol. Eng., 7(5), 373–379.
Mailapalli, D. R., Wallender, W. W., Singh, R., and Raghuwanshi, N. S. (2009). “Application of a nonstandard explicit integration to solve Green and Ampt infiltration equation.” J. Hydrol. Eng., 14(2), 203–206.
Parlange, J.-Y. (1980). “Water transport in soils.” Annu. Rev. Fluid Mech., 12, 77–102.
Parlange, J.-Y., Barry, D. A., and Haverkamp, R. (2002). “Explicit infiltration equations and the Lambert W-function.” Adv. Water Resour., 25(8–12), 1119–1124.
Parlange, J.-Y., Barry, D. A., Parlange, M. B., and Haverkamp, R. (1992). “Note on the sorptivity for mixed saturated-unsaturated flow.” Water Resour. Res., 28(9), 2529–2531.
Parlange, J.-Y., Lisle, I., Braddock, R. D., and Smith, R. E. (1982). “The three-parameter infiltration equation.” Soil Sci., 133(6), 337–341.
Rao, M. D., Raghuwanshi, N. S., and Singh, R. (2006). “Development of a physically based 1D-infiltration model for seal formed irrigated soils.” Agric. Water Manage., 84(1–2), 164–174.
Ross, P. J., Haverkamp, R., and Parlange, J.-Y. (1996). “Calculating parameters for infiltration equations from soil hydraulic functions.” Transp. Porous Media, 24(3), 315–339.
Salvucci, G. D., and Entekhabi, D. (1994). “Explicit expression for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage.” Water Resour. Res., 30(9), 2661–2663.
Talsma, T., and Parlange, J.-Y. (1972). “One-dimensional vertical infiltration.” Austral. J. Soil Res., 10(2), 143–150.
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Published In
Journal of Hydrologic Engineering
Volume 15 • Issue 7 • July 2010
Pages: 595 - 596
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© 2010 ASCE.
History
Received: Jun 30, 2009
Accepted: Jul 3, 2009
Published online: Jun 15, 2010
Published in print: Jul 2010
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