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1

Barry, D. A., J. Y. Parlange, L. Li, D. S. Jeng, and M. Crapper. "Green–Ampt approximations." Advances in Water Resources 28, no. 10 (October 2005): 1003–9. http://dx.doi.org/10.1016/j.advwatres.2005.03.010.

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2

Gan, Yong De, Yang Wen Jia, and Kang Wang. "Modeling Infiltration-Runoff under Multi-Layered Soil during Rainfall." Advanced Materials Research 864-867 (December 2013): 2392–402. http://dx.doi.org/10.4028/www.scientific.net/amr.864-867.2392.

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The generalized Green-Ampt models, based on the Green-Ampt approach, is suitable for simulating infiltration into layered soils during unsteady rainfall, however, there are still some problems with using this approach. The objective of this paper is to improve the generalized Green-Ampt model, and then evaluate the performance of the generalized Green-Ampt model in modeling the infiltration-runoff into multi-layered soil during rain. Firstly, based on the generalized Green-Ampt model, we propose and improvement to the generalized Green-Ampt model to overcome deficiencies in it. Then, one-dimen
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3

Van Mullem, J. A. "Precipitation Distributions and Green‐Ampt Runoff." Journal of Irrigation and Drainage Engineering 117, no. 6 (November 1991): 944–59. http://dx.doi.org/10.1061/(asce)0733-9437(1991)117:6(944).

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4

Ogden, Fred L., and Bahram Saghafian. "Green and Ampt Infiltration with Redistribution." Journal of Irrigation and Drainage Engineering 123, no. 5 (September 19, 1997): 386–93. http://dx.doi.org/10.1061/(asce)0733-9437(1997)123:5(386).

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5

Ali, Shakir, Adlul Islam, P. K. Mishra, and Alok K. Sikka. "Green-Ampt approximations: A comprehensive analysis." Journal of Hydrology 535 (April 2016): 340–55. http://dx.doi.org/10.1016/j.jhydrol.2016.01.065.

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6

Thooyamani, K. P., and D. I. Norum. "Explicit infiltration equations based on the Green–Ampt model." Canadian Journal of Civil Engineering 14, no. 5 (October 1, 1987): 710–13. http://dx.doi.org/10.1139/l87-103.

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The Green–Ampt infiltration equations are based on physical parameters of the soil that can be either measured or calculated reasonably easily. However, neither the infiltration rate equation nor the cumulative depth of infiltration equation is in a form that can be used easily in hydrologic modeling, as both equations are in an implicit form when time is the independent variable. Therefore iterative procedures must be used to find either the infiltration rate or cumulative depth at a specific time.Explicit infiltration equations have been developed, based on the Green–Ampt infiltration model.
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7

Stone, Jeffry J., Richard H. Hawkins, and Edward D. Shirley. "Approximate Form of Green‐Ampt Infiltration Equation." Journal of Irrigation and Drainage Engineering 120, no. 1 (January 1994): 128–37. http://dx.doi.org/10.1061/(asce)0733-9437(1994)120:1(128).

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8

Ward, Tim J. "Approximate Form of Green-Ampt Infiltration Equation." Journal of Irrigation and Drainage Engineering 121, no. 4 (July 1995): 311. http://dx.doi.org/10.1061/(asce)0733-9437(1995)121:4(311).

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9

Stewart, Ryan D. "A Dynamic Multidomain Green-Ampt Infiltration Model." Water Resources Research 54, no. 9 (September 2018): 6844–59. http://dx.doi.org/10.1029/2018wr023297.

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10

Loáiciga, Hugo A., and Allison Huang. "Ponding Analysis with Green-and-Ampt Infiltration." Journal of Hydrologic Engineering 12, no. 1 (January 2007): 109–12. http://dx.doi.org/10.1061/(asce)1084-0699(2007)12:1(109).

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11

Wang, L. L., D. H. Chen, Z. J. Li, and L. N. Zhao. "Coupling Green-Ampt infiltration method and two-dimensional kinematic wave theory for flood forecast in semi-arid catchment." Hydrology and Earth System Sciences Discussions 8, no. 4 (August 24, 2011): 8035–61. http://dx.doi.org/10.5194/hessd-8-8035-2011.

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Abstract. Due to the specific characteristics of semi-arid catchments, this paper aims to establish a grid-and-Green-Ampt-and-two-dimensional-kinematic-wave-based distributed hydrological physical model (Grid-GA-2D model) coupling Green-Ampt infiltration method and two dimensional overland flow routing model based on kinematic wave theory for flood simulation and forecasting with using GIS technology and digital elevation model (DEM). Taking into consideration the soil moisture redistribution at hillslope, Green-Ampt infiltration physical method is applied for grid-based runoff generation and
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12

Dockhorn, Wendler De Almeida, Virnei Silva Moreira, Silvana Maldaner, Jaqueline Prunzel, Vanessa Silva Moreira, and Debora Regina Roberti. "ESTIMATIVA DA INFILTRAÇÃO DA ÁGUA EM UM SOLO DE VÁRZEA ATRAVÉS DO MODELO DE GREEN-AMPT COM AJUSTES DE PARÂMETROS." Ciência e Natura 38 (July 20, 2016): 556. http://dx.doi.org/10.5902/2179460x20309.

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The need to find a model that describes the process of water infiltration into the soil which could be more closer to the reality is extremely important, especially considering the physical characteristics of a soil has, because a better understanding of this process is of fundamental importance for the efficient management of soil and water in agricultural crops. This study aims to validate the model of Green-Ampt in a rice-growing area. The experiment was conducted in the experimental site of Paraíso do Sul - RS, where soil samples were collected for physical analysis and used the double rin
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13

Nearing, M. A., B. Y. Liu, L. M. Risse, and X. Zhang. "CURVE NUMBERS AND GREEN-AMPT EFFECTIVE HYDRAULIC CONDUCTIVITIES." Journal of the American Water Resources Association 32, no. 1 (February 1996): 125–36. http://dx.doi.org/10.1111/j.1752-1688.1996.tb03440.x.

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14

Almedeij, J., and I. I. Esen. "Modified Green-Ampt Infiltration Model for Steady Rainfall." Journal of Hydrologic Engineering 19, no. 9 (September 2014): 04014011. http://dx.doi.org/10.1061/(asce)he.1943-5584.0000944.

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15

Baiamonte, Giorgio. "SCS Curve Number and Green-Ampt Infiltration Models." Journal of Hydrologic Engineering 24, no. 10 (October 2019): 04019034. http://dx.doi.org/10.1061/(asce)he.1943-5584.0001838.

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16

Lee, Sanghyun, Maria L. Chu, and Arthur R. Schmidt. "Effective Green-Ampt Parameters for Two-Layered Soils." Journal of Hydrologic Engineering 25, no. 4 (April 2020): 04020004. http://dx.doi.org/10.1061/(asce)he.1943-5584.0001897.

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17

Killen, M. A., and D. C. Slack. "Green‐Ampt—Model to Predict Surge Irrigation Phenomena." Journal of Irrigation and Drainage Engineering 113, no. 4 (November 1987): 575–84. http://dx.doi.org/10.1061/(asce)0733-9437(1987)113:4(575).

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18

ESEN, ISMAIL I. "ESTIMATION OF GREEN-AMPT PARAMETERS FROM INFILTROMETER DATA." Soil Science 147, no. 4 (April 1989): 231–37. http://dx.doi.org/10.1097/00010694-198904000-00001.

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19

Serrano, Sergio E. "Explicit Solution to Green and Ampt Infiltration Equation." Journal of Hydrologic Engineering 6, no. 4 (August 2001): 336–40. http://dx.doi.org/10.1061/(asce)1084-0699(2001)6:4(336).

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20

Serrano, Sergio E. "Improved Decomposition Solution to Green and Ampt Equation." Journal of Hydrologic Engineering 8, no. 3 (May 2003): 158–60. http://dx.doi.org/10.1061/(asce)1084-0699(2003)8:3(158).

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21

Dahdouh, Yacina, and Lahbassi Ouerdachi. "Assessment of two loss methods for estimation of surface runoff in Zaafrania urban catchment, North-East of Algeria." Journal of Water and Land Development 36, no. 1 (March 1, 2018): 37–43. http://dx.doi.org/10.2478/jwld-2018-0004.

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AbstractSurface runoff is a major problem in urban catchments; its generation is always related to the amount of effective rainfall dropped over the surface, however in urban catchments the process is considerably altered by the emergence of impervious areas. In this study the Soil Consevation Service – curve number (SCS-CN) and the Green–Ampt loss methods were used in rainfall-runoff modelling in the Zaafrania urban catchment which is located in Annaba city in the north east of Algeria. The two loss methods were carried out within Hydrologic Engineering Center – Hydrologic Modelling System (H
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22

Delani, Orita Mega, and Bambang Dwi Dasanto. "Perbandingan hidrograf banjir menggunakan beberapa metode perhitungan curah hujan efektif (studi kasus: Das Cisadane Hulu)." JURNAL SUMBER DAYA AIR 12, no. 2 (November 1, 2015): 187–98. http://dx.doi.org/10.32679/jsda.v12i2.65.

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Calculation of effective rainfall is an important step in hydrologic modelling. The used methods to calculate effective rainfall rarely observe watershed conditions on site. The objectives of the study is to determine the optimum method in calculating effective rainfall based on infiltration approach in Upper Cisadane Watershed and to analysis dominant characteristic of watershed on selected method. SCS-CN, Initial and Constant Rate Loss Method, and Green and Ampt Loss Method were the methods that used to estimate run off value in Upper Cisadane Watershed. The simulation was performed using HE
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23

Flerchinger, G. N., F. J. Watts, and G. L. Bloomsburg. "Explicit Solution to Green‐Ampt Equation for Nonuniform Soils." Journal of Irrigation and Drainage Engineering 114, no. 3 (August 1988): 561–65. http://dx.doi.org/10.1061/(asce)0733-9437(1988)114:3(561).

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24

Chu, Shu‐Tung. "Green‐Ampt Analysis of Wetting Patterns for Surface Emitters." Journal of Irrigation and Drainage Engineering 120, no. 2 (March 1994): 414–21. http://dx.doi.org/10.1061/(asce)0733-9437(1994)120:2(414).

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25

Shu-Tung Chu. "Determination of Green-Ampt Parameters Using a Sprinkler Infiltrometer." Transactions of the ASAE 29, no. 2 (1986): 0500–0504. http://dx.doi.org/10.13031/2013.30180.

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26

W. J. Rawls and D. L. Brakensiek. "Comparison Between Green-Ampt and Curve Number Runoff Predictions." Transactions of the ASAE 29, no. 6 (1986): 1597–99. http://dx.doi.org/10.13031/2013.30359.

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27

Akan, A. Osman, and Serter Atabay. "Green and Ampt infiltration model extended beyond rain duration." Water and Environment Journal 29, no. 4 (April 13, 2015): 515–22. http://dx.doi.org/10.1111/wej.12120.

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28

Van Mullem, J. A. "Runoff and Peak Discharges Using Green‐Ampt Infiltration Model." Journal of Hydraulic Engineering 117, no. 3 (March 1991): 354–70. http://dx.doi.org/10.1061/(asce)0733-9429(1991)117:3(354).

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29

Kidwell, Mary R., Mark A. Weltz, and D. Phillip Guertin. "Estimation of Green-Ampt Effective Hydraulic Conductivity for Rangelands." Journal of Range Management 50, no. 3 (May 1997): 290. http://dx.doi.org/10.2307/4003732.

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30

Craig, J. R., G. Liu, and E. D. Soulis. "Runoff-infiltration partitioning using an upscaled Green-Ampt solution." Hydrological Processes 24, no. 16 (February 17, 2010): 2328–34. http://dx.doi.org/10.1002/hyp.7601.

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31

Hilpert, Markus, and Roland Glantz. "Exploring the parameter space of the Green–Ampt model." Advances in Water Resources 53 (March 2013): 225–30. http://dx.doi.org/10.1016/j.advwatres.2012.12.001.

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32

Gan, Yongde, Huan Liu, Yangwen Jia, Siyuan Zhao, Jiahua Wei, Hongwei Xie, and Dongzhu Zhaxi. "Infiltration-runoff model for layered soils considering air resistance and unsteady rainfall." Hydrology Research 50, no. 2 (October 29, 2018): 431–58. http://dx.doi.org/10.2166/nh.2018.007.

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Abstract A modified Green–Ampt model (MGAM) was proposed to simulate infiltrations into layered soil profiles with the entrapped air under unsteady rainfall conditions. To account for the effects of the air resistance, the saturation coefficient, actual water content, air bubbling pressure, and water bubbling pressure were introduced in the model. One-dimensional infiltration-runoff experiments were then conducted in multi-layered soil columns, under unsteady rainfall conditions, to evaluate the performance of the MGAM model. The cumulative infiltration, runoff rate, and water content of the s
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33

Ma, Wenmei, Xingchang Zhang, Qing Zhen, and Yanjiang Zhang. "Effect of soil texture on water infiltration in semiarid reclaimed land." Water Quality Research Journal 51, no. 1 (August 18, 2015): 33–41. http://dx.doi.org/10.2166/wqrjc.2015.025.

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The infiltration of water and its influencing factors in disturbed or reclaimed land are not well understood. A better understanding would provide essential information for assessing the hydrological processes in disturbed ecosystems. We measured the infiltration of water in soils from loamy and sandy reclaimed land. The relationships between infiltration and soil properties were analyzed based on three models: the Kostiakov, Philip, and Green–Ampt equations. Our objectives were to understand water infiltration in reclaimed land with a variety of soil textures and to establish the dependence o
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34

Lima, Cícero Aurélio Grangeiro, and Alain Passerat de Silans. "Variabilidade espacial da infiltração de água no solo." Pesquisa Agropecuária Brasileira 34, no. 12 (December 1999): 2311–20. http://dx.doi.org/10.1590/s0100-204x1999001200018.

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Dados de infiltração de água no solo foram obtidos em diversos pontos de uma malha retangular de uma parcela agrícola da Fazenda Experimental da EMEPA-PB, com o objetivo de caracterizar a variabilidade espacial da infiltração e dos parâmetros hidrodinâmicos do solo. Foram utilizadas as leis de Philip e de Green & Ampt para ajustamento dos valores obtidos. Medições de granulometria, densidade do solo e umidade volumétrica antes e depois dos testes de infiltração foram efetuadas. Técnicas de análises estatísticas clássicas e geoestatísticas foram utilizadas para descrever a variabilidade esp
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35

Nie, Wei-Bo, Yi-Bo Li, Ye Liu, and Xiao-Yi Ma. "An Approximate Explicit Green-Ampt Infiltration Model for Cumulative Infiltration." Soil Science Society of America Journal 82, no. 4 (May 10, 2018): 919–30. http://dx.doi.org/10.2136/sssaj2017.11.0404.

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36

Risse, L. M., M. A. Nearing, and X. C. Zhang. "Variability in Green-Ampt effective hydraulic conductivity under fallow conditions." Journal of Hydrology 169, no. 1-4 (July 1995): 1–24. http://dx.doi.org/10.1016/0022-1694(94)02676-3.

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37

HUANG, Jiesheng, Koichi SATO, and Keiji TAKASE. "Application of Green-Ampt Equation to Long Term Runoff Analysis." Journal of Japan Society of Hydrology and Water Resources 9, no. 1 (1996): 38–47. http://dx.doi.org/10.3178/jjshwr.9.38.

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38

M. L. Wolfe, C. L. Larson, and C. A. Onstad. "Hydraulic Conductivity and Green-Ampt Infiltration Modeling for Tilled Soils." Transactions of the ASAE 31, no. 4 (1988): 1135–40. http://dx.doi.org/10.13031/2013.30834.

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39

W. J. Rawls, D. L. Brakensiek, J. R. Simanton, and K. D. Kohl. "DEVELOPMENT OF A CRUST FACTOR FOR A GREEN AMPT MODEL." Transactions of the ASAE 33, no. 4 (1990): 1224–28. http://dx.doi.org/10.13031/2013.31461.

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40

X. C. Zhang, M. A. Nearing, and L. M. Risse. "Estimation of Green-Ampt Conductivity Parameters: Part I. Row Crops." Transactions of the ASAE 38, no. 4 (1995): 1069–77. http://dx.doi.org/10.13031/2013.27924.

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41

X. C. Zhang, M. A. Nearing, and L. M. Risse. "Estimation of Green-Ampt Conductivity Parameters: Part II. Perennial Crops." Transactions of the ASAE 38, no. 4 (1995): 1079–87. http://dx.doi.org/10.13031/2013.27925.

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42

Devaurs, Micheline, and Gerald F. Gifford. "APPLICABILITY OF THE GREEN AND AMPT INFILTRATION EQUATION TO RANGELANDS." Journal of the American Water Resources Association 22, no. 1 (February 1986): 19–27. http://dx.doi.org/10.1111/j.1752-1688.1986.tb01855.x.

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43

Kale, Ravindra V., and Bhabagrahi Sahoo. "Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit." Water Resources Management 25, no. 14 (July 12, 2011): 3505–36. http://dx.doi.org/10.1007/s11269-011-9868-0.

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44

James, Wesley P., John Warinner, and Michael Reedy. "APPLICATION OF THE GREEN-AMPT INFILTRATION EQUATION TO WATERSHED MODELING." Journal of the American Water Resources Association 28, no. 3 (June 1992): 623–35. http://dx.doi.org/10.1111/j.1752-1688.1992.tb03182.x.

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45

Cho, Sung-Eun. "Surficial Stability Analysis by the Green-Ampt Infiltration Model with Bedrock Boundary Condition." Journal of Korean Society of Hazard Mitigation 15, no. 1 (February 28, 2015): 131–42. http://dx.doi.org/10.9798/kosham.2015.15.1.131.

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46

Cao, Ding-feng, Bin Shi, Hong-hu Zhu, Hilary Inyang, Guang-qing Wei, Yan Zhang, and Chao-sheng Tang. "Feasibility Investigation of Improving the Modified Green–Ampt Model for Treatment of Horizontal Infiltration in Soil." Water 11, no. 4 (March 28, 2019): 645. http://dx.doi.org/10.3390/w11040645.

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Water infiltration in soil is a complex process that still requires appreciation of interactions among three phases (soil particles, water and air) to enable accurate estimation of water transport rates. To simulate this process, the Green–Ampt (GA) model and the Modified Green-Ampt (MGA) model introduced in the paper “A new method to estimate soil water infiltration based on a modified Green–Ampt model” have been widely used. The GA model is based on the hypothesis that the advance of the wetting front in soil under matric suction can be treated as a rectangular piston flow that is instantane
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47

Liu, Dedi, Yao Xu, Shenglian Guo, Pan Liu, and David E. Rheinheimer. "A modified Green–Ampt model for water infiltration and preferential flow." Hydrology Research 47, no. 6 (February 11, 2016): 1172–81. http://dx.doi.org/10.2166/nh.2016.160.

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Preferential flow is significant for its contribution to rapid response to hydrologic inputs at the soil surface and unsaturated zone flow, which is critical for flow generation in rainfall–runoff (RR) models. In combination with the diffuse and source-responsive flow equations, a new model for water infiltration that incorporates preferential flow is proposed in this paper. Its performance in estimating soil moisture at the catchment scale was tested with observed water content data from the Elder sub-basin of the South Fork Eel River, located in northern California, USA. The case study shows
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48

Muntohar, Agus Setyo, and Liao Hung-Jiun. "Factors Affecting Rain Infiltration on a Slope Using Green-Ampt Model." Journal of Physical Science 30, no. 3 (November 25, 2019): 71–86. http://dx.doi.org/10.21315/jps2019.30.3.5.

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49

Xiang, Long, Wen-wen Ling, Yong-shu Zhu, Li Chen, and Zhong-bo Yu. "Self-adaptive Green-Ampt infiltration parameters obtained from measured moisture processes." Water Science and Engineering 9, no. 3 (July 2016): 256–64. http://dx.doi.org/10.1016/j.wse.2016.05.001.

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50

Liu, Guoxiang, James R. Craig, and Eric D. Soulis. "Applicability of the Green-Ampt Infiltration Model with Shallow Boundary Conditions." Journal of Hydrologic Engineering 16, no. 3 (March 2011): 266–73. http://dx.doi.org/10.1061/(asce)he.1943-5584.0000308.

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