Abstract
The Green-Ampt (GA) infiltration model is a simplified version of the physically based full hydrodynamic model, known as the Richards equation. The simplicity and accuracy of this model facilitates for its use in many field problems, such as, infiltration computation in rainfall-runoff modelling, effluent transport in groundwater modelling studies, irrigation management studies including drainage systems etc. The numerous infiltration models based on the Green-Ampt approach have been widely investigated for their applicability in various scenarios of homogeneous soils. However, recent advances in physically based distributed rainfall-runoff modeling demands for the use of improved infiltration models for layered soils with non-uniform initial moisture conditions under varying rainfall patterns to capture the actual infiltration process that exists in nature. The difficulty that modelers are facing now-a-days includes the estimation of time of ponding and the application of the infiltration model to unsteady rainfall events occurring in heterogeneous soil conditions. The investigation in this direction exhibits that only few infiltration models can handle these situations. Hence, it is of vital importance to analyze the usefulness of different variants of the Green-Ampt infiltration models in terms of their degree of accuracy, complexity and applicability limits. This paper provides a brief review of these infiltration models to bring out their usefulness in the rainfall-runoff and irrigation modeling studies as well as the drawbacks associated with these models.
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References
Ahuja LR (1974) Applicability of the Green-Ampt approach to water infiltration through surface crust. Soil Sci 118(5):283–288
Ahuja LR (1983) Modeling Infiltration into crusted soils by the Green-Ampt approach. Soil Sci Soc Am J 47:412–418
Ahuja LR, Naney JW, Green RE, Nielsen DR (1984) Macroprocity to characterize spatial variability of hydraulic conductivity and effects of land management. Soil Sci Soc Am J 48:699–702
Ahuja LR, Cassel DK, Bruce RR, Barnes BB (1989) Evaluation of spatial distribution of hydraulic conductivity using effective porosity data. Soil Sci 148:404–411
Alberts EE, Laflen JM, Rawls WJ, Simanton JR, Nearing, MA (1989) Soil component, Water Erosion Prediction Project Manual, USDA, Agricultural Research Services, Durant OK, USA, pp 6.1–6.15.
Albrecht KA, Cartwright K (1989) Infiltration and hydraulic conductivity of a compacted earthen liner. Ground Water 27:14–19
Allaire SE, Roulier S, Cessna AJ (2010) Quantifying preferential flow in soils: a review of different techniques. J Hydrol 378:179–204
Argyrokastritis I, Kargas G, Kerkides P (2009) Simulation of soil moisture profiles using K(h) from coupling experimental retention curves and one-step outflow data. Water Resour Manag 23(15):3255–3266. doi:10.1007/s11269-009-9432-3
Assouline S, Mualem Y (2002) Infiltration during soil sealing: the effect of areal heterogeneity of soil hydraulic properties. Water Resour Res 38(12):1286. doi:10.1029/2001WR001168
Assouline S, Mualem Y (2006) Runoff from heterogeneous small bare catchments during soil surface sealing. Water Resour Res 42:W12405. doi:10.1029/2005WR004592
Baker RS, Hillel D (1990) Laboratory tests of theory of fingering during infiltration into layered soils. Soil Sci Soc Am J 54:20–30
Barry DA, Parlange J-Y, Sander GC, Sivaplan M (1995) Comment on explicit expressions for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage. Water Resour Res 31(5):1445–1446
Barry DA, Parlange J-Y, Li L, Jeng D-S, Crapper M (2005) Green-Ampt approximations. Adv Water Resour 28(10):1003–1009
Beven K (1984) Infiltration into a class of vertically non-uniform soils. Hydrol Sci J 29:425–434
Beven K, Germann P (1981) Water flow in soil macropores. II. A combined flow model. J Soil Sci 32:15–29
Beven K, Robert E (2004) Horton’s perceptual model of infiltration processes. Hydrol Process 18:3447–3460
Binley A, Elgy J, Beven K (1989) A physically based model of heterogeneous hillslopes: 1. Runoff production. Water Resour Res 25:1219–1226
Bouwer H (1966) Rapid field measurement of air-entry value and hydraulic conductivity of soil as significant parameters in flow system analysis. Water Resour Res 2:729–738
Bouwer H (1969) Infiltration of water into nonuniform soil. J Irrig Drain Eng. ASCE Proc. Paper 6937, 95(IR4):451–462
Bouwer H (1976) Infiltration into increasingly permeable soils. J Irrig Drain Eng. ASCE Proc. Paper 11959, 102(IR1):127–136
Brakensiek DO, Onstad CA (1977) Parameter estimation of the Green and Ampt infiltration equation. Water Resour Res 13(6):1009–1012
Brakensiek DL, Rawls WJ (1983) Agricultural management effects on soil water processes. II. Green and Ampt parameter for soil crusting. Trans ASAE 26:1753–1757
Brakensiek DL, Rawls WJ, Onstad CA (1983) Evaluation of Green-Ampt infiltration parameter estimates. Proc. National Resources Modelling Sysmposium. Decoursey DG (ed), Pingtree, Colarado, pp 339–344.
Brooks RH, Corey AT (1964) Hydraulic properties of porous media. Hydrol. Pap. 3, p 27, Colo. State Univ., Fort Collins, Colo, USA
Castillo VM, Gómez-Plaza A, Martinez-Mena M (2003) The role of antecedent soil water content in the runoff response of semiarid catchments: a simulation approach. J Hydrol 284:114–130
Chen L, Young MH (2006) Green-Ampt infiltration model for sloping surfaces. Water Resour Res 42(W07420):1–9. doi:10.1029/2005WR004468
Chen ZQ, Govindaraju RS, Kavvas ML (1994a) Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields. 1. Development of models. Water Resour Res 30(2):523–533
Chen ZQ, Govindaraju RS, Kavvas ML (1994b) Spatial averaging of unsaturated flow equations under infiltration conditions over areally heterogeneous fields. 2. Numerical simulations. Water Resour Res 30(2):535–548
Childs EC (1967) Soil moisture theory. Adv Hydrosci 4:73–117
Childs EC, Bybordi M (1969) The vertical movement of water in a stratified porous material, 1, Infiltration. Water Resour Res 5(2):446–459
Chow VT, Maidment DR, Mays LW (1988) Applied hydrology. McGraw-Hill Inc., Singapore, pp 1–572
Chu ST (1978) Infiltration during an unsteady rain. Water Resour Res 14:461–466
Chu ST (1985) Modeling infiltration into tilled soil using non-uniform rain. Trans ASAE 28:1226–1232
Chu ST (1987) Generalized Mein-Larson infiltration model. J Irrig Drain Eng ASCE 113(2):155–162
Chu ST (1994) Green-Ampt analysis of wetting patterns for surface emitters. J Irrig Drain Eng 120(2):414–421
Chu ST (1995) Effect of initial water content on Green-Ampt parameters. Trans ASAE 38:839–841
Chu X, Marino MA (2005) Determination of ponding condition and infiltration into layered soils under unsteady rainfall. J Hydrol 313:195–207
Chu X, Marino MA (2006) Simulation of infiltration and surface runoff-A windows-based hydrologic modeling system HYDROL-INF. Proc. World Environmental and Water Resources Congress, ASCE, Randall Graham, Editors Omaha, Nebraska, USA, May 21–25, pp 1–8.
Chu ST, Onstad CA, Rawls WJ (1986) Field evaluation of layered Green-Ampt model for transient crust conditions. Trans ASAE 29:268–1272
Colman EA, Bodman GB (1945) Moisture energy conditions during downward entry of water in to moist and layered soils. Soil Sci Soc Am Proc 9:3–11
Craig JR, Liu G, Soulis ED (2010) Runoff–infiltration partitioning using an upscaled Green–Ampt solution. Hydrol Process 24:2328–2334. doi:10.1002/hyp.7601
Dagan G, Bresler E (1983) Unsaturated flow in spatially variable fields, 1. Derivation of models of infiltration and redistribution. Water Resour Res 199(2):413–420
Davidson MR (1984) A Green-Ampt model of infiltration in a cracked soil. Water Resour Res 20:1685–1690
Davidson MR (1985) Asymptotic behavior of infiltration in soils containing cracks or holes. Water Resour Res 21(9):1345–1353. doi:10.1029/WR021i009p01345
Davidson MR (1987) Asymptotic infiltration into a soil which contains cracks or holes but whose surface is otherwise impermeable. Transport Porous Media 2(2):165–176. doi:10.1007/BF00142657
Deliman PN (1994) Green-Ampt infiltration in layered soils with positive soil water potential. PhD. Thesis, submitted to Texas A&M University, Texas, USA, pp 134
Desborough CE, Pitman AJ (1998) The BASE land surface model. Global Planet Change 19:3–18
Duely FL (1939) Surface factor affecting the rate of intake of water by soils. Soil Sci Soc Am Proc 4:60–64
Edwards WM, van der Ploeg RR, Ehlers W (1979) A numerical study of the effects of noncapillary-sized pores upon infiltration. Soil Sci Soc Am J 43:851–856
Eisenhauer DE (1984) Surface sealing and infiltration with surface irrigation. PhD dissertation, Colorado State University, Ft. Collins, CO
Enciso-Medina J, Martin D, Eisenhauer D (1998) Infiltration model for furrow irrigation. J Irrig Drain Eng, ASCE 124(2):73–80. doi:10.1061/(ASCE)0733-9437(1998)124:2(73)
Este’ves M, Faucher X, Galle S, Vauclin M (2000) Overland flow and infiltration modelling for small plots during unsteady rain: numerical results versus observed values. J Hydrol 228:265–288
Farajalla NS, Vieux BE (1995) Capturing the essential spatial variability in Distributed hydrological modeling: Infiltration parameters. Hydrol Process 9:55–68
Fiedler FR, Ramirez JA (2000) A numerical method for simulating discontinuous shallow flow over an infiltrating surface. Int J Numer Meth Fluids 32:219–240
Flerchinger GN, Watts FJ, Bloomsburg GL (1988) Explicit solution to Green-Ampt equation for nonuniform soil. J Irrig Drain Engg ASCE 114(3):561–565
Fok YS (1970) One-dimensional infiltration into layered soils. J Irrig Drain Engg ASCE 90(2):121–129
Freyberg DL, Reeder JW, Franzini JB, Remson I (1980) Application of the Green-Ampt model to infiltration under time-dependent surface water depth. Water Resour Res 16(3):517–528
Gill MA (1978) A layered infiltration model for homogeneous soils. J Hydrol 36(1–2):121–131
Goldman DM (1989) Loss rate representation in the HEC-1 watershed model. In: Morel-Seytoux HJ (ed) Unsaturated flow in hydrologic modeling, theory and practice. Kluwer Academic Publishers, Boston, pp 345–390
Govindaraju RS, Or D, Kavvas ML, Rolston DE, Biggar J (1992) Error analyses of simplified unsaturated flow models under large uncertainty in hydraulic properties. Water Resour Res 28(11):2913–2924
Govindaraju RS, Kavvas ML, Jones SE, Rolston DE (1996) Use of Green-Ampt model for analyzing one-dimensional convective transport in unsaturated soils. J Hydrol 178(1–4):337–350
Gowdish L, Carpena M (2009) An improved Green-Ampt infiltration and restribution method for uneven multistorm series. Vadose Zone J 8:470–479
Green WH, Ampt GA (1911) Studies in soil physics. Part 1. The flow of air and water through soils. J Agric Sci (England) 4:1–24
Greminger PJ, Sud YK, Nielsen DR (1985) Spatial variability of field measured soil-water characteristics. Soil Sci Soc Am J 49:1075–1082
Gusev EM (1993) Formirovanie Rezhima i Resursov Pochvennykh Vod v Zimne-Vesenniyi Period (Formation of Regime and Resources of Soil Water during Winter–Spring Period). Fizmatlit Publishing, Nauka (in Russian)
Gusev YM, Nasonova ON (1998) The land surface parameterization scheme SWAP: description and partial validation. Global Planet Change 19:63–86
Hachum AY, Alfaro JF (1978) A physically-based model to predict runoff under variable rain intensity. Trans ASAE, ASAE paper No. 76–2538, 500–504 & 509
Hachum AY, Alfaro JF (1980) Rain infiltration into layered soils: prediction. J Irrig Drain Engg ACSE 106(IR4):311–319
Hammecker C, Antonino ACD, Maeght JL, Boivin P (2003) Experimental and numerical study of water flow in soil under irrigation in northern Senegal: evidence of air entrapment. Eur J Soil Sci 54:491–503
Hawkins RH, Cundy TW (1987) Steady-state analysis of infiltration and overland flow for spatially-varied hillslopes. Water Resour Bull 23:251–256
Hill DW (1992) Occurrence of positive soil water potentials during infiltration in layered soils. M. S. Thesis, Texas A&M University, College Station, Texas
Hillel D, Gardner WR (1970) Transient infiltration into crust topped profiles. Soil Sci 109(2):69–76
Hu H, Yang Z, Tian F (2009) Spatial averaging infiltration model for layered soil. Sci China, Ser E Tech Sci 52(4):1050–1058
Hugo AL, Huang A (2007) Ponding analysis with Green-Ampt Infiltration. J Irrig Drain Engg ASCE 12(1):109–112
Idike FI, Larson CL, Slack DC, Young RA (1980) Experimental evaluation of two infiltration models. Trans ASAE 23(6):1428–1433
James LG, Larson CL (1976) Modeling infiltration and redistribution of soil water during intermittent application. Trans ASAE 19(3):482–488
Jia Y, Tamai N (1997) Modeling infiltration into a multi-layered soil during and unsteady rain. Annu J Hydraul Eng JSCE 41:31–36
Jury WA, Horton R (2004) Soil physics. Wiley, Hoboken
Kacimov AR, Al-Ismaily S, Al-Maktoumi A (2010) Green-Ampt one-dimensional infiltration from a ponded surface into a heterogeneous soil. J Irrig Drain Eng 136(1):68–72
Kargas G, Kerkides P (2011) A contribution to the study of the phenomenon of horizontal infiltration. Water Resour Manag 25(4):1131–1141. doi:10.1007/s11269-010-9671-3
Kim SJ, Chung HW (1994) Field evaluation of layered Green-Ampt infiltration model considering temporal variation of physical properties. Trans ASAE 37:1845–1852
Kowalsky MB, Finsterle S, Peterson S, Hubbard J, Rubin Y, Majer E, Ward A, Gee G (2005) Estimation of field-scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data. Water Resour Res 41:W11425. doi:10.1029/2005WR004237
Leconte R, Brissette FP (2001) Soil moisture profile model for two-layered soil based on sharp wetting front approach. J Hydrol Engg ASCE 6(2):141–149
Li RM, Stevens MA, Simons DB (1976) Solutions to Green-Ampt infiltration equation. J Irrig Drain Engg ASCE 102(2):239–248
Liu QQ, Singh VP (2004) Effect of microtopography, slope length and gradient, and vegetative cover on overland flow through simulation. J Hydrol Engg ASCE 9(5):375–382
Liu J, Zhang J, Feng J (2008) Green-Ampt model for layered soils with nonuniform initial water content under unsteady infiltration. Soil Sci Am J 72:1041–1047
Liu G, Craig JR, Soulis ED (2011) Applicability of the Green-Ampt infiltration model with shallow boundary conditions. J Hydrol Eng 16(3):266. doi:10.1061/(ASCE)HE.1943-5584.0000308
Logsdon SD, Jaynes DB (1996) Spatial variability of hydraulic conductivity in a cultivated field at different times. Soil Sci Soc Am J 60:703–709
Ma Y, Feng S, Su D, Gao G, Huo Z (2010a) Modeling water infiltration in a large layered soil column with a modified Green-Ampt model and HYDRUS-1D. Comput Electron Agr 71S:S40–S47
Ma Y, Feng S, Zhan H, Liu X, Su D, Kang S, Song X (2010b) Water infiltration in layered soils with air entrapment: modified Green-Ampt model and experimental validation. J Hydrol Engg ASCE. doi:10.1061/(ASCE)HE.1943-5584.0000360
Madramootoo CA, Enright P (1990) Prediction of surface runoff using the Green-Ampt infiltration model and estimated soils parameters. Can J Agr Eng ISSN:0045-432X, 32(1):39–45
Mailapalli DR, Wallender WW, Singh R, Raghuwanshi NS (2009) Application of a nonstandard explicit integration to solve Green and Ampt iInfiltration equation. J Hydrol Eng 14(2):203–206
McCuen RH, Rawls WJ, Brakensiek DL (1981) Statistical analysis of the Brooks-Corey and the Green-Ampt parameters across soil textures. Water Resour Res 17(4):1005–1013
McIntire DS (1958) Permeability measurements of soil crusts formed by raindrop impact. Soil Sci 85:185–189
Mein RG, Larson CL (1971) Modeling of the infiltration component of the rainfall-runoff process. Bull 43, pp 21–29, Water Resour Res. Center, Univ. of Minn., Minneapolis
Mein RG, Larson CL (1973) Modeling infiltration during a steady rain. Water Resour Res 9(2):384–394
Merz B, Plate EJ (1997) An analysis of the effects of spatial variability of soil and soil moisture on runoff. Water Resour Res 33:2909–2922
Miller DE, Gardner WH (1962) Water infiltration into stratified soil. Soil Sci Soc Am Proc 26:115–119
Milly PCD (1985) Stability of the Green-Ampt profile in a delta function soil. Water Resour Res 21(3):399–402
Milly PCD, Eagleson PS (1988) Effects of storm scale on surface runoff volume. Water Resour Res 24:620–624
Mohamoud YM (1991) Evaluating the Green and Ampt infiltration parameter values for tilled and crusted soils. J Hydrol 123:25–38
Moore ID (1981a) Effect of surface sealing on infiltration. Trans ASAE 24:1546–1561
Moore ID (1981b) Infiltration equations modified for surface effects. J Irrig Drain Div ASCE 107(IR1):71–85
Moore ID, Eigel JD (1981) Infiltration into two-Layered soil profiles. Trans ASAE 26(6):1496–1503
Morel-Seytoux HJ, Khanji J (1974) Derivation of an equation of infiltration. Water Resour Res 10(4):795–800
Muntohar AS, Liao H-J (2010) Rainfall infiltration: infinite slope model for landslides triggering by rainstorm. Nat Hazards 54(3):967–984. doi:10.1007/s11069-010-9518-5
Neuman SP (1976) Wetting front pressure head in the infiltration model of Green and Ampt. Water Resour Res 12(3):564–566
Nielsen DR, Biggar JW, Erh KT (1973) Spatial variability of field-measured soil-water properties. Hilgardia 42:215–259
Paschepsky YA, Timlin D (1996) Infiltration into layered soil covered with a depositional seal: A Green-Ampt approach. Int Agrophys 10:21–30
Philip JR (1957) The theory of infiltration: 4. Sorptivity and algebraic infiltration equations. Soil Sci 84:257–264
Powell DM, Steichen J (1982) An infiltration model including transient soil crust formation. ASAE, St. Joseph, pp 82–2031
Qi Z (2008) Comparison of finite difference method, Philip’s Method and Green-Ampt Model in infiltration simulation. http://www.public.iastate.edu/~qzhiming/coursework/agron677/Agron677_final_project.doc (Verified on 30 Sept. 2008).
Rao MD, Raghuwanshi NS, Singh R (2006) Development of a physically based 1D-infiltration model for irrigated soils. Agr Water Manage 85(1–2):165–174
Rawls WJ, Brakensiek DL (1982) Estimating soil water retention from soil properties. J Irrig Drain Div Proc ASCE 108:166–171
Rawls WJ, Brakensiek DL (1983) A procedure to predict Green-Ampt parameters. Proc. Am. Soc. Agril. Engg. Conf. on Advances in infiltration, Chicago, IL, pp 102–112.
Rawls WJ, Brakensiek DL, Miller N (1983a) Green-Ampt infiltration parameters from soil data. J Hydraul Engg ASCE 109:62–70
Rawls WJ, Brakensiek DL, Soni B (1983b) Agricultural management effects on soil water processes. Part I: soil water retention and Green-Ampt infiltration parameters. Trans ASAE 26:1747–1752
Rawls WJ, Brakensiek DL, Simanton JR, Kohl KD (1990) Development of a crust factor for a Green Ampt model. Trans ASAE 33:1224–1228
Rawls WJ, Ahuja LR, Brakensiek DL, Shirmohammadi A (1992) Infiltration and soil water movement. In: Maidment DR (ed) Handbook of hydrology. McGraw-Hill Inc., pp 5.1–5.51.
Risse LM, Nearing MA, Zhang XC (1995) Variability in Green-Ampt effective hydraulic conductivity under fallow conditions. J Hydrol 169:1–24
Russo D, Bresler EA (1982) Univariate versus a multivariate parameter distribution in a stochastic-conceptual analysis of unsaturated flow. Water Resour Res 18:483–489
Saghafian B, Julien PY, Ogden FL (1995) Similarity in catchment response. 1: Stationary rainstorms. Water Resour Res 31:1533–1541
Salvucci GD, Entekhabi D (1994) Explicit expression for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage. Water Resour Res 30(9):2661–2663
Schmid BH (1990) Derivation of an explicit equation for infiltration on the basis of the Mein-Larson model. Hydrol Sci J 35(2):197–208
Selker JS, Duan J, Parlange JY (1999) Green and Ampt infiltration into soils of variable pore size with depth. Water Resour Res 35(5):1685–1688
Serrano SE (2001) Explicit solution to Green and Ampt equation. J Hydrol Eng ASCE 6(4):336–340
Serrano SE (2003) Improved decomposition solution to Green and Ampt equation. J Hydrol Engg ASCE 8(3):158–160
Shin D, Lee KK, Kim JW (1998) Spatial variability of conductivity as applied to distributed parameter infiltration models. J Am Water Resour Assoc 34:545–558
Short D, Dawes WR, White I (1995) The practicability of using Richards equation for general purpose soil-water dynamics models. Environ Intern 21(5):723–730
Sidle RC, Pearce CL, O’Loughlin CL, American Geophysical Union (1985) Hillslope stability and land use. AGU, Water Resour. Monograph Series 11, Washigton, D. C.
Simunek J, Sejna M, van Genuchten MT (1998) The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media. US Salinity Laboratory, Riverside
Sivapalan M, Wood EF (1986) Spatial heterogeneity and scale in the infiltration response of catchments. In: Gupta VK, Rodriguez-Iturbe I, Wood EF (ed) Scale problems in hydrology, Water Sci. Technol. Libr., Vol. 6. Springer, New York, pp 81–106
Skonard CJ, Martin DL (2002) A physically based two-dimensional infiltration model for furrow irrigation. 2002 ASAE Annual International Meeting/CGIR XVth World Congress, Illinois, USA, ASAE paper No. 022063, pp 1–11
Smiles DE, Perroux KM, Zegelin SJ, Raats PAC (1981) Hydrodynamic dispersion during constant rate absorption of water by soil. Soil Sci Soc Am J 45:453–458
Smith RE, Hebbert RHB (1979) A Monte Carlo analysis of the hydrologic effects of spatial variability of infiltration. Water Resour Res 15:419–429
Smith RE, Goodrich DC (2000) Model for rainfall excess patterns on randomly heterogeneous areas. J Hydrol Eng ASCE 5(4):355–362
Sokol Z (2003) The use of radar and gauge measurements to estimate areal precipitation for several Czech river basins. Studia Geophysica et Geodaetica, Springer 47(3):587–604
Sonu J (1986) Vertical infiltration into stratified soil for groundwater accretion. Conjunctive Water Use (Proceedings of the Budapest Symposium, July 1986), IAHS Publ. no. 156, 365–374
Springer EP, Cundy TW (1987) Field-scale evaluation of infiltration parameters from soil texture for hydrologic analysis. Water Resour Res 23(2):325–334
Stone JJ, Hawkins RH, Shirley ED (1994) Approximate form of Green-Ampt infiltration equation. J Irrig Drain Engg ASCE 120(1):128–137
Sullivan M, Warwick JJ, Tyler SW (1996) Quantifying and delineating spatial variations of surface infiltration in a small watershed. J Hydrol 181:149–168
Swartzendruber D (1974) Infiltration of constant-flux rainfall into soil as analyzed by the approach of Green and Ampt. Soil Sci 117:272–281
Swartzendruber D (1987) A quasi-solution of Richards equation for the downward infiltration of water into soil. Water Res Res 23:809–817
Swartzendruber D, Youngs EG (1974) A comparison of physically based infiltration equations. Soil Sci 117:165–167
Tackett JL, Pearson RW (1965) Some characteristics of soil crust formed by simulated rainfall. Soil Sci 99(6):407–413
Tagski S (1960) Analysis of vertical downward flow of water through a two-layered soil. Soil Sci 90:98–103
Turner ER (2006) Comparison of infiltration equations and their field validation with rainfall simulation. M.S. Thesis, Department of Biological resources Engineering, University of Maryland, College park, USA.
van Mullem JA (1991) Runoff and peak discharges using Green-Ampt infiltration model. J Hydraul Engg ASCE 117:354–370
Voller VR (2011) On a fractional form of the Green-Ampt infiltration model. Adv Water Resour 34:257–262
Wang QJ, Shao MA, Horton R (1999) Modified Green and Ampt models for layered soil infiltration and muddy water infiltration. Soil Sci 164:445–453
Warrick AW, Nielsen DR (1980) Spatial variability of soil physical properties in the field. In: Hillel D (ed) Applications of soil physics. Elsevier, New York, pp 319–344
Warrick AW, Zerihun D, Sanchez CA, Furman A (2005) Infiltration under variable ponding depths of water. J Irrig Drain Eng ASCE 131(4):358–363
Whisler F, Klute A (1966) Analysis of infiltration into stratified soil columns. Symp. Water in Unsaturated Zone, IASH, Waggeningen, The Netherlands, 1:82.
Whisler TD, Bouwer H (1970) Comparison of methods for calculating vertical drainage and infiltration for soils. J Hydrol 10(1):1–19
Wilcox BP, Rawls WJ, Brakensiek DL, Wight JR (1990) Predicting runoff from rangeland catchments: a comparison of two models. Water Resour Res 26(10):2401–2410
Williams JR, Ouyang Y, Chen JS, Ravi V (1998) Estimation of infiltration rate in vadose zone application of selected mathematical models. Report of Environmental Protection Agency, Volume II, EPA/600/R-97/128b,
Wolfe LM, Larson CL, Onstad CA (1988) Hydraulic conductivity and Green-Ampt infiltration modeling for tiled soils. Trans ASAE 31:1135–1140
Woolhiser DA, Smith RE, Giraldez JV (1996) Effects of spatial variability of saturated hydraulic conductivity on Hortonian overland flow. Water Resour Res 32:671–678
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The first author thanks Prof. M. Perumal, Department of Hydrology, Indian Institute of Technology Roorkee and Dr. V. C. Goyal, Scientist F and Head RCMU, National Institute of Hydrology Roorkee for encouraging working on this manuscript. Both the authors would like to thank the Editor-in-Chief Dr. G. Tsakiris and two anonymous reviewers of this article for many worthwhile and helpful suggestions which ultimately resulted in improvement of the previous contents of this manuscript.
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Kale, R.V., Sahoo, B. Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit. Water Resour Manage 25, 3505–3536 (2011). https://doi.org/10.1007/s11269-011-9868-0
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DOI: https://doi.org/10.1007/s11269-011-9868-0