Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification

Abstract Water infiltration into soil is important in geotechnical engineering. The classical Green-Ampt (GA) infiltration model is widely used in soil infiltration due to its physical significance, but it ignores the actual unsaturated layer in the infiltration process and has some deficiencies. Th...

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Main Authors: Yunxin Zheng, Zhiping Hu, Rui Wang, Songli Chen, Xiang Ren, Yonghui Zhang
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-86175-9
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author Yunxin Zheng
Zhiping Hu
Rui Wang
Songli Chen
Xiang Ren
Yonghui Zhang
author_facet Yunxin Zheng
Zhiping Hu
Rui Wang
Songli Chen
Xiang Ren
Yonghui Zhang
author_sort Yunxin Zheng
collection DOAJ
description Abstract Water infiltration into soil is important in geotechnical engineering. The classical Green-Ampt (GA) infiltration model is widely used in soil infiltration due to its physical significance, but it ignores the actual unsaturated layer in the infiltration process and has some deficiencies. Thus, the present study established a modified GA infiltration model (MLGA model) using Darcy’s infiltration law and continuity equation to fully consider the variation characteristics of the soil water profile in the infiltration process. The Philip model and the GA model have the same physical basis. By combining the internal relationship between the infiltration rate and cumulative infiltration of the two models, the expression of matrix suction of the MLGA model was obtained. The existing measured data was used to verify the correctness and applicability of the MLGA model. Finally, the sensitivity analysis of the critical parameters of the model was performed. The results showed that the MLGA model is reliable and can be used for water infiltration analysis in loess sites. When the MLGA model is used to calculate the infiltration depth, the maximum relative error between the calculated value and the measured data is less than 10%, and the average relative error is 5.54%, which indicates that the model has a high calculation accuracy. The average error of the MLGA model is 24.47% of the Kostiakov model and 80.42% of the existing modified GA model (LGAM model). Sensitivity analysis of the saturated permeability coefficient, initial water content, saturated water content, and matrix suction was performed using the single-factor disturbance method. The influence of each parameter on infiltration depth was summarized, and the sensitivity of each parameter was quantitatively evaluated, which revealed that saturated water content is a highly sensitive parameter. When using the MLGA model to calculate infiltration depth, the accuracy of saturated water content should be ensured first. Finally, the difference between the MLGA model and the LGAM model in describing the whole process of water infiltration is discussed, and the influence mechanism of critical parameters on the water infiltration process is deeply analyzed. The established MLGA model provides theoretical support for further study of the loess water infiltration mechanism.
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spelling doaj-art-a44948d2b7ba4db097e8a4bf19ad887c2025-01-12T12:22:52ZengNature PortfolioScientific Reports2045-23222025-01-0115111610.1038/s41598-025-86175-9Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verificationYunxin Zheng0Zhiping Hu1Rui Wang2Songli Chen3Xiang Ren4Yonghui Zhang5School of Civil Engineering, Chang’an UniversitySchool of Civil Engineering, Chang’an UniversitySchool of Civil Engineering, Chang’an UniversitySchool of Civil Engineering, Chang’an UniversitySchool of Civil Engineering, Shandong University of AeronauticsSchool of Civil Engineering, Chang’an UniversityAbstract Water infiltration into soil is important in geotechnical engineering. The classical Green-Ampt (GA) infiltration model is widely used in soil infiltration due to its physical significance, but it ignores the actual unsaturated layer in the infiltration process and has some deficiencies. Thus, the present study established a modified GA infiltration model (MLGA model) using Darcy’s infiltration law and continuity equation to fully consider the variation characteristics of the soil water profile in the infiltration process. The Philip model and the GA model have the same physical basis. By combining the internal relationship between the infiltration rate and cumulative infiltration of the two models, the expression of matrix suction of the MLGA model was obtained. The existing measured data was used to verify the correctness and applicability of the MLGA model. Finally, the sensitivity analysis of the critical parameters of the model was performed. The results showed that the MLGA model is reliable and can be used for water infiltration analysis in loess sites. When the MLGA model is used to calculate the infiltration depth, the maximum relative error between the calculated value and the measured data is less than 10%, and the average relative error is 5.54%, which indicates that the model has a high calculation accuracy. The average error of the MLGA model is 24.47% of the Kostiakov model and 80.42% of the existing modified GA model (LGAM model). Sensitivity analysis of the saturated permeability coefficient, initial water content, saturated water content, and matrix suction was performed using the single-factor disturbance method. The influence of each parameter on infiltration depth was summarized, and the sensitivity of each parameter was quantitatively evaluated, which revealed that saturated water content is a highly sensitive parameter. When using the MLGA model to calculate infiltration depth, the accuracy of saturated water content should be ensured first. Finally, the difference between the MLGA model and the LGAM model in describing the whole process of water infiltration is discussed, and the influence mechanism of critical parameters on the water infiltration process is deeply analyzed. The established MLGA model provides theoretical support for further study of the loess water infiltration mechanism.https://doi.org/10.1038/s41598-025-86175-9LoessInfiltrationGreen-Ampt modelCumulative infiltrationWetting front depth
spellingShingle Yunxin Zheng
Zhiping Hu
Rui Wang
Songli Chen
Xiang Ren
Yonghui Zhang
Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
Scientific Reports
Loess
Infiltration
Green-Ampt model
Cumulative infiltration
Wetting front depth
title Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
title_full Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
title_fullStr Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
title_full_unstemmed Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
title_short Modified Green-Ampt model for infiltration analysis in loess area and its parameter determination and verification
title_sort modified green ampt model for infiltration analysis in loess area and its parameter determination and verification
topic Loess
Infiltration
Green-Ampt model
Cumulative infiltration
Wetting front depth
url https://doi.org/10.1038/s41598-025-86175-9
work_keys_str_mv AT yunxinzheng modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification
AT zhipinghu modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification
AT ruiwang modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification
AT songlichen modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification
AT xiangren modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification
AT yonghuizhang modifiedgreenamptmodelforinfiltrationanalysisinloessareaanditsparameterdeterminationandverification