Prediction of unsaturated flow and water backfill during infiltration in layered soils

Ahuja, 1983, Modeling infiltration into crusted soils by the Green-Ampt approach, Soil Sci. Soc. Am. J., 47, 412, 10.2136/sssaj1983.03615995004700030004x Al-Maktoumi, 2015, Infiltration into two-layered soil: the Green-Ampt and Averyanov models revisited, Transp. Porous Media, 109, 169, 10.1007/s11242-015-0507-8 Assouline, 2013, Infiltration into soils: conceptual approaches and solutions, Water Resour. Res., 49, 1755, 10.1002/wrcr.20155 Assouline, 2007, A simple accurate method to predict time of ponding under variable intensity rainfall, Water Resour. Res., 43, 1, 10.1029/2006WR005138 Bouwer, 1966, Rapid field measurement of air entry value and hydraulic conductivity of soil as significant parameters in flow system analysis, Water Resour. Res., 2, 729, 10.1029/WR002i004p00729 Brent, 1973 Brunone, 2003, Numerical simulations of one-dimensional infiltration into layered soils with the Richards equation using different estimates of the interlayer conductivity, Vadose Zone J., 2, 193, 10.2136/vzj2003.1930 Campolongo, 2007, An effective screening design for sensitivity analysis of large models, Environ. Model. Softw., 22, 1509, 10.1016/j.envsoft.2006.10.004 Carrillo, 2000, Unstable water flow in a layered soil: i. Effects of a stable water-repellent layer, Soil Sci. Soc. Am. J., 64, 450, 10.2136/sssaj2000.642450x Carsel, 1988, Developing joint probability distributions of soil water retention characteristics, Water Resour. Res., 24, 755, 10.1029/WR024i005p00755 Celia, 1990, A general mass-conservative numerical soluition for the unsaturated flow equation, Water Resour. Res., 26, 1483, 10.1029/WR026i007p01483 Cheng, 2017, Using time compression approximation to determine actual infiltration rate from variable rainfall events, Hydrol. Res. Childs, 1969, The vertical movement water in stratified porous material: 1 Infiltration, Water Resour. Res., 5, 446, 10.1029/WR005i002p00446 Chu, 2005, Determination of ponding condition and infiltration into layered soils under unsteady rainfall, J. Hydrol., 313, 195, 10.1016/j.jhydrol.2005.03.002 Cui, 2017, Infiltration model in sloping layered soils and guidelines for model parameter estimation, Hydrol. Sci. J., 62, 2222, 10.1080/02626667.2017.1371848 De Luca, 2016, Procedure to obtain analytical solutions of one-dimensional Richards’ equation for infiltration in two-layered soils, J. Hydrol. Eng., 21, 4016018, 10.1061/(ASCE)HE.1943-5584.0001356 Deng, 2016, Analysis of effective Green-Ampt hydraulic parameters for vertically layered soils, J. Hydrol., 538, 705, 10.1016/j.jhydrol.2016.04.059 Diment, 1983, Stability analysis of water movement in unsaturated porous materials: 2. Numerical studies, Water Resour. Res., 19, 1002, 10.1029/WR019i004p01002 Du, 2001, Stability analysis of the unsaturated water flow equation: 1 Mathematical derivation, Water Resour. Res., 37, 1869, 10.1029/2001WR900004 Green, 1911, Studies of soil physics, part I – the flow of air and water through soils, J. Agric. Sci., 4, 1 Hayek, 2016, An exact explicit solution for one-dimensional, transient, nonlinear Richards’ equation for modeling infiltration with special hydraulic functions, J. Hydrol., 535, 662, 10.1016/j.jhydrol.2016.02.021 Hill, 1972, Wetting front instability in layer soils, Soil Sci. Soc. Am. J., 36, 367, 10.2136/sssaj1972.03615995003600050010x Hillel, 1988, A descriptive theory of fingering during infiltration into layered soils, Soil Sci., 146, 51, 10.1097/00010694-198807000-00008 Hogarth, 2011, Analysis of time compression approximations, Water Resour. Res., 47, 1, 10.1029/2010WR010298 Hsu, 2017, Water infiltration into prewetted porous media: dynamic capillary pressure and Green-Ampt modeling, Adv. Water Resour., 106, 60, 10.1016/j.advwatres.2017.02.017 Kale, 2011, Green-Ampt infiltration models for varied field conditions: a revisit, Water Resour. Manage., 25, 3505, 10.1007/s11269-011-9868-0 Latifi, 1994, Air entrapment and water infiltration in two layered soil column, J. Irrig. Drain. Eng., 120, 871, 10.1061/(ASCE)0733-9437(1994)120:5(871) Leconte, 2001, Soil moisture profile model for two-layered soil based on sharp wetting front approach, J. Hydrol. Eng., 6, 141, 10.1061/(ASCE)1084-0699(2001)6:2(141) Li, 2014, Soil texture and layering effects on water and salt dynamics in the presence of a water table: a review, Environ. Rev., 22, 41, 10.1139/er-2013-0035 List, 2016, A study on iterative methods for solving Richards’ equation, Comput. Geosci., 20, 341, 10.1007/s10596-016-9566-3 Ma, 2011, Water infiltration in layered soils with air entrapment: modified Green-Ampt model and experimental validation, J. Hydrol. Eng., 16, 628, 10.1061/(ASCE)HE.1943-5584.0000360 Miller, 1962, Water infiltration into stratified soil, Soil Sci. Soc. Am. J., 26, 115, 10.2136/sssaj1962.03615995002600020007x Miller, 1998, Robust solution of Richards’ equation for nonuniform porous media, Water Resour. Res., 34, 2599, 10.1029/98WR01673 Mohammadzadeh-Habili, 2015, Application of the Green-Ampt model for infiltration into layered soils, J. Hydrol., 527, 824, 10.1016/j.jhydrol.2015.05.052 Moore, 1981, Infiltration equations modified for surface effects, J. Irrig. Drain. Div., 107, 71, 10.1061/JRCEA4.0001340 Morris, 1991, Factorial sampling plans for preliminary computational experiments, Technometrics, 33, 161, 10.1080/00401706.1991.10484804 Ogden, 2015, A new general 1-D vadose zone flow solution method, Water Resour. Res., 51, 4282, 10.1002/2015WR017126 Ogden, 2017, The soil moisture velocity equation, J. Adv. Model. Earth Syst., 9, 1473, 10.1002/2017MS000931 Pan, 1995, A transformed pressure head-based approach to solve Richards’ equation for variably saturated soils, Water Resour. Res., 31, 925, 10.1029/94WR03291 Philip, 1957, The theory of infiltration: 4. Sorptivity and algebraic infiltration equations, Soil Sci., 84, 257, 10.1097/00010694-195709000-00010 Rao, 2006, Development of a physically based 1D-infiltration model for irrigated soils, Agric. Water Manage., 85, 165 Richards, 1931, Capillary conduction of liquids through porous mediums, Physics, 1, 318, 10.1063/1.1745010 Rockhold, 1997, An analytical solution technique for one-dimensional, steady vertical water flow in layered soils, Water Resour. Res., 33, 897, 10.1029/96WR03746 Romano, 1998, Numerical analysis of one-dimensional unsaturated flow in layered soils, Adv. Water Resour., 21, 315, 10.1016/S0309-1708(96)00059-0 Šimunek J., Šejna, M., Saito, H., Sakai, M., van Genuchten, M. Th., 2013. The HYDRUS-1D software package for simulating the movement of water, heat, and multiple solutes in variably saturated media, Version 4.17. HYDRUS Software Ser. 3, Dep. of Environ. Sci., Univ. of Calif. Riverside, Riverside. Smith, 2002 Takagi, 1960, Analysis of the vertical downward flow of water through a two-layered soil, Soil Sci., 90, 98, 10.1097/00010694-196008000-00004 van Genuchten, 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892, 10.2136/sssaj1980.03615995004400050002x Vandervaere, 1997, Estimating hydraulic conductivity of crusted soils using disc infiltrometers and minitensiometers, J. Hydrol., 188–189, 203, 10.1016/S0022-1694(96)03160-5 Vandervaere, 1998, Prediction of crust-induced surface runoff with disc infiltrometer data, Soil Sci., 163, 9, 10.1097/00010694-199801000-00003 Vogel, 1988, On the reliability of unsaturated hydraulic conductivity calculated from the moisture retention curve, Transp. Porous Media, 3, 1, 10.1007/BF00222683 Wang, 2014, Modeling ponded infiltration in fine textured soils with coarse interlayer, Soil Sci. Soc. Am. J., 78, 745, 10.2136/sssaj2013.12.0535 Wang, 2016, A GUI platform for uncertainty quantification of complex dynamical models, Environ. Model. Softw., 76, 1, 10.1016/j.envsoft.2015.11.004 Wang, 1999, Modified Green and Ampt models for layered soil infiltration and muddy water infiltration, Soil Sci., 164, 445, 10.1097/00010694-199907000-00001 Warrick, 1990, One-dimensional, steady vertical flow in a layered soil profile, Adv. Water Resour., 13, 207, 10.1016/0309-1708(90)90042-3 Yang, 2004, A study of infiltration on three sand capillary barriers, Can. Geotech. J., 41, 629, 10.1139/t04-021 Yang, 2006, Behavior of unsaturated layered soil columns during infiltration, J. Hydrol. Eng., 11, 329, 10.1061/(ASCE)1084-0699(2006)11:4(329) Zhu, 2016, A new visual method to determine infiltration rate from infiltration capacity models, Nat. Sci. Educ., 45, 10.4195/nse2016.07.0020