Optimal parameters for the Green-Ampt infiltration model under rainfall conditions

Ahuja, L.R., Ross, J.D., 1973. A new Green-Ampt type model for infiltration through a surface seal permitting transient parameters below the seal. In: Proc. Nat. Conf. Advances in Infiltration, December 12-13, 1983, Hyatt Regency Illinois Center, Chicago, Illinois, Am. Soc. Agric. Eng, St. Joseph, MI.Search in Google Scholar

Arnold, J.G., Moriasi, D.N., Gassman, P.W., Abbaspour, K.C., White, M.J., Srinivasan, R., Santhi, C., Harmel, R.D., Van Griensven, A., Van Liew, M.W., 2012. SWAT: Model use, calibration, and validation. Trans. ASABE, 55, 1491-1508.10.13031/2013.42256Search in Google Scholar

Barry, D.A., Parlange, J.-Y., Sander, G.C., Sivaplan, M., 1993. A class of exact solutions for Richards’ equation. J. Hydrol., 142, 29-46. doi:10.1016/0022-1694(93)90003-R 10.1016/0022-1694(93)90003-RSearch in Google Scholar

Barry, D.A., Parlange, J.-Y., Li, L., Jeng, D.-S., Crapper, M., 2005. Green-Ampt approximations. Adv. Water Resour., 28, 1003-1009. doi:10.1016/j.advwatres.2005.03.01010.1016/j.advwatres.2005.03.010Search in Google Scholar

Basha, H.A., 2011. Infiltration models for semi-infinite soil profiles. Water Resour. Res., 47, doi:10.1029/2010WR01025310.1029/2010WR010253Search in Google Scholar

Beven, K., Binley, A., 1992. The future of distributed models: Model calibration and uncertainty prediction. Hydrol. Process., 6, 279-298. doi:10.1002/hyp.336006030510.1002/hyp.3360060305Search in Google Scholar

Beven, K., Freer, J., 2001. Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology. J. Hydrol., 249, 11-29. doi:10.1016/S0022-1694(01)00421-810.1016/S0022-1694(01)00421-8Search in Google Scholar

Bouwer, H., 1978. Groundwater Hydrology. McGraw-Hill, New York.Search in Google Scholar

Brooks, R., Corey, A., 1964. Hydraulic Properties of Porous Media. Hydrology Papers, Colorado State University, Ft. Collins, CO.Search in Google Scholar

Carsel, R.F., Parrish, R.S., 1988. Developing joint probability distributions of soil water retention characteristics. Water Resour. Res., 24, 755-769. doi:10.1029/WR024i005p0075510.1029/WR024i005p00755Search in Google Scholar

Chen, L., Young, M.H., 2006. Green-Ampt infiltration model for sloping surfaces. Water Resour. Res., 42, W07420. doi:10.1029/2005WR00446810.1029/2005WR004468Search in Google Scholar

Chu, S.T., 1978. Infiltration during an unsteady rain. Water Resour. Res., 14, 461-466. doi:10.1029/WR014i003p0046110.1029/WR014i003p00461Search in Google Scholar

Flanagan, D.C., Nearing, M.A., 1995. USDA-Water Erosion Prediction Project: Hillslope profile and watershed model documentation. NSERL Rep 10.Search in Google Scholar

Gowdish, L., Muñoz-Carpena, R., 2009. An improved Green- Ampt infiltration and redistribution method for uneven multistorm series. Vadose Zone J., 8, 470. doi: 10.2136/vzj2008.004910.2136/vzj2008.0049Search in Google Scholar

Green, W.H., Ampt, G.A., 1911. Studies on soil physics, 1. The flow of air and water through soils. J. Agric. Sci., 4, 1-24.10.1017/S0021859600001441Search in Google Scholar

Hilpert, M., Glantz, R., 2013. Exploring the parameter space of the Green-Ampt model. Adv. Water Resour., 53, 225-230. doi:10.1016/j.advwatres.2012.12.00110.1016/j.advwatres.2012.12.001Search in Google Scholar

Hogarth, W.L., Lockington, D.A., Barry, D.A., Parlange, M.B., Haverkamp, R., Parlange, J.-Y., 2013. Infiltration in soils with a saturated surface: Infiltration and water profiles. Water Resour. Res., 49, 2683-2688. doi:10.1002/wrcr.2022710.1002/wrcr.20227Search in Google Scholar

Hsu, S., Ni, C., Hung, P., 2002. Assessment of three infiltration formulas based on model fitting on Richards equation. J.10.1061/(ASCE)1084-0699(2002)7:5(373)Search in Google Scholar

Hydrol. Eng., 7, 373-379. doi:10.1061/(ASCE)1084-0699(2002)7:5(373) Kosugi, K., 1996. Lognormal distribution model for unsaturated soil hydraulic properties. Water Resour. Res., 32, 2697-2703. doi:10.1029/96WR0177610.1029/96WR01776Search in Google Scholar

Mein, R.G., Larson, C.L., 1973. Modeling infiltration during a steady rain. Water Resour. Res., 9, 384-394. doi:10.1029/WR009i002p0038410.1029/WR009i002p00384Search in Google Scholar

Morel-Seytoux, H.J., Khanji, J., 1974. Derivation of an equation of infiltration. Water Resour. Res., 10, 795-800. doi:10.1029/WR010i004p0079510.1029/WR010i004p00795Search in Google Scholar

Morel-Seytoux, H.J., Meyer, P.D., Nachabe, M., Tourna, J., van Genuchten, M.T., Lenhard, R.J., 1996. Parameter equivalence for the Brooks-Corey and van Genuchten soil characteristics: Preserving the effective capillary drive. Water Resour. Res., 32, 1251-1258. doi:10.1029/96WR0006910.1029/96WR00069Search in Google Scholar

Neuman, S.P., 1976. Wetting front pressure head in the infiltration model of Green and Ampt. Water Resour. Res., 12, 564-566. doi:10.1029/WR012i003p0056410.1029/WR012i003p00564Search in Google Scholar

Nimmo, J.R., Schmidt, K.M., Perkins, K.S., Stock, J.D., 2009. Rapid measurement of field-saturated hydraulic conductivity for areal characterization. Vadose Zone J., 8, 142. doi:10.2136/vzj2007.015910.2136/vzj2007.0159Search in Google Scholar

O’Brien, J.S., Jorgensen, C., Garcia, R., 2009. FLO-2D Software Version 2009. FLO-2D Software, Inc. Nutrioso, AZ, Nutrioso, AZ.Search in Google Scholar

Parlange, J.Y., Lisle, I., Braddock, R.D., Smith, R.E., 1982. The three-parameter infiltration equation. Soil Sci., 133, 337-341.10.1097/00010694-198206000-00001Search in Google Scholar

Philip, J.R., 1985. Reply to comments on "Steady infiltration from spherical cavities”. Soil Sci. Soc. Am. J., 49, 788. doi:10.2136/sssaj1985.03615995004900030055x 10.2136/sssaj1985.03615995004900030055xSearch in Google Scholar

Rawls, W.J., Brakensiek, D.L., Miller, N., 1983. Green-Ampt infiltration parameters from soils data. J. Hydraul. Eng., 109, 62. doi:10.1061/(ASCE)0733-9429(1983)109:1(62) 10.1061/(ASCE)0733-9429(1983)109:1(62)Search in Google Scholar

Rawls, W.J., Brakensiek, D.L., Savabi, M.R., 1989. Infiltration parameters for rangeland soils. J. Range Manage., 42, 139. doi:10.2307/389931110.2307/3899311Search in Google Scholar

Richards, L.A., 1931. Capillary conduction of liquids through porous mediums. Physics, 1, 318. doi:10.1063/1.174501010.1063/1.1745010Search in Google Scholar

Risse, L.M., Nearing, M.A., Savabi, M.R., 1994. Determining the Green-Ampt effective hydraulic conductivity from rainfall- runoff data for the WEPP model. Trans. ASAE, 37, 411-418.10.13031/2013.28092Search in Google Scholar

Rossman, L.A., 2010. Storm water management model user’s manual, version 5.0. National Risk Management Research Laboratory, Office of Research and Development, US Environmental Protection Agency.Search in Google Scholar

Salvucci, G.D., Entekhabi, D., 1994. Explicit expressions for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage. Water Resour. Res., 30, 2661-2663. doi:10.1029/94WR0149410.1029/94WR01494Search in Google Scholar

Saxton, K.E., Rawls, W.J., 2006. Soil water characteristic estimates by texture and organic matter for hydrologic Solutions. Soil Sci. Soc. Am. J., 70, 1569. doi:10.2136/sssaj2005.011710.2136/sssaj2005.0117Search in Google Scholar

Schaap, M.G., Leij, F.J., van Genuchten, M.T., 2001. Rosetta: a computer program for estimating soil hydraulic parameters with hierarchical pedotransfer functions. J. Hydrol., 251, 163-176. doi:10.1016/S0022-1694(01)00466-810.1016/S0022-1694(01)00466-8Search in Google Scholar

Šimůnek, J., van Genuchten, M.T., Šejna, M., 2008. Development and applications of the HYDRUS and STANMOD software packages and related codes. Vadose Zone J., 7, 587. doi:10.2136/vzj2007.007710.2136/vzj2007.0077Search in Google Scholar

Smith, E., Smettem, R.J., Broadbridge, P., Woolhiser, D.A., 2002. Infiltration Theory for Hydrologic Applications. Water Resour. Monograph 15, Am. Geophys. Union, Washington, DC.10.1029/WM015Search in Google Scholar

Stahr, L.M., Eisenhauer, D.E., Helmers, M.J., Dosskey, M., Franti, T.G., 2004. Green-Ampt infiltration parameters in riparian buffers. USDA Forest Service/UNL Faculty Publication 30. Search in Google Scholar

van Genuchten, M.Th., 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J., 44, 892-898. doi:10.2136/sssaj1980.03615995004400050002x 10.2136/sssaj1980.03615995004400050002xSearch in Google Scholar

Vereecken, H., Weynants, M., Javaux, M., Pachepsky, Y., Schaap, M.G., van Genuchten, M.Th., 2010. Using pedotransfer functions to estimate the van Genuchten-Mualem soil hydraulic properties: A Review. Vadose Zone J., 9, 795. doi:10.2136/vzj2010.004510.2136/vzj2010.0045Search in Google Scholar

Voller, V.R., 2011. On a fractional derivative form of the Green-Ampt infiltration model. Adv. Water Resour., 34, 257-262. doi:10.1016/j.advwatres.2010.11.012 10.1016/j.advwatres.2010.11.012Search in Google Scholar