Analytical study on steady seepage of a foundation pit adjacent to a structure

Abstract For a foundation pit adjacent to a structure with a common retaining wall, current mathematical models do not consider the interactions between seepage resulting from dewatering and the adjacent structures with the common retaining wall. In this study, the steady-state continuity equation o...

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Main Authors: Jiayun Liang, Hai Liu, Jie Cui, Jianyou Li, Xilian Wen
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-98387-0
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author Jiayun Liang
Hai Liu
Jie Cui
Jianyou Li
Xilian Wen
author_facet Jiayun Liang
Hai Liu
Jie Cui
Jianyou Li
Xilian Wen
author_sort Jiayun Liang
collection DOAJ
description Abstract For a foundation pit adjacent to a structure with a common retaining wall, current mathematical models do not consider the interactions between seepage resulting from dewatering and the adjacent structures with the common retaining wall. In this study, the steady-state continuity equation of the seepage field considering an adjacent structure and retaining wall thickness is formulated by region dividing. The hydraulic head and water pressure are solved respectively using Fourier series expression and Bernoulli’s principle. A numerical model is established in FLAC3D to validate the accuracy of the analytical solution. The maximum deviation of analytical results is merely 2.76%, and the computation time is only two thousandths of that required by the numerical simulation. Further analysis is conducted on the effects of various engineering parameters on water pressure distribution, resultant water pressure and exit gradient, revealing that retaining wall thickness, adjacent structure width and upper/lower soil permeability ratio have non-negligible inhibitory effects on seepage, while pervious layer thickness exhibits a promotive effect and adjacent structure depth shows no influence on seepage. In conclusion, the proposed analytical solution can produce efficiently produce accurate results, making it valuable for practical applications in foundation engineering.
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spelling doaj-art-e6f4996fdcf24c1ea1cd26b3eb973eea2025-08-20T03:09:35ZengNature PortfolioScientific Reports2045-23222025-05-0115111810.1038/s41598-025-98387-0Analytical study on steady seepage of a foundation pit adjacent to a structureJiayun Liang0Hai Liu1Jie Cui2Jianyou Li3Xilian Wen4School of Civil Engineering, Guangzhou UniversitySchool of Civil Engineering, Guangzhou UniversitySchool of Civil Engineering, Guangzhou UniversityGuangzhou Pearl River Construction Development Co. LtdGuangzhou Pearl River Construction Development Co. LtdAbstract For a foundation pit adjacent to a structure with a common retaining wall, current mathematical models do not consider the interactions between seepage resulting from dewatering and the adjacent structures with the common retaining wall. In this study, the steady-state continuity equation of the seepage field considering an adjacent structure and retaining wall thickness is formulated by region dividing. The hydraulic head and water pressure are solved respectively using Fourier series expression and Bernoulli’s principle. A numerical model is established in FLAC3D to validate the accuracy of the analytical solution. The maximum deviation of analytical results is merely 2.76%, and the computation time is only two thousandths of that required by the numerical simulation. Further analysis is conducted on the effects of various engineering parameters on water pressure distribution, resultant water pressure and exit gradient, revealing that retaining wall thickness, adjacent structure width and upper/lower soil permeability ratio have non-negligible inhibitory effects on seepage, while pervious layer thickness exhibits a promotive effect and adjacent structure depth shows no influence on seepage. In conclusion, the proposed analytical solution can produce efficiently produce accurate results, making it valuable for practical applications in foundation engineering.https://doi.org/10.1038/s41598-025-98387-0Steady seepageHydraulic headAdjacent structureCommon retaining wallFoundation pit dewatering
spellingShingle Jiayun Liang
Hai Liu
Jie Cui
Jianyou Li
Xilian Wen
Analytical study on steady seepage of a foundation pit adjacent to a structure
Scientific Reports
Steady seepage
Hydraulic head
Adjacent structure
Common retaining wall
Foundation pit dewatering
title Analytical study on steady seepage of a foundation pit adjacent to a structure
title_full Analytical study on steady seepage of a foundation pit adjacent to a structure
title_fullStr Analytical study on steady seepage of a foundation pit adjacent to a structure
title_full_unstemmed Analytical study on steady seepage of a foundation pit adjacent to a structure
title_short Analytical study on steady seepage of a foundation pit adjacent to a structure
title_sort analytical study on steady seepage of a foundation pit adjacent to a structure
topic Steady seepage
Hydraulic head
Adjacent structure
Common retaining wall
Foundation pit dewatering
url https://doi.org/10.1038/s41598-025-98387-0
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AT jiecui analyticalstudyonsteadyseepageofafoundationpitadjacenttoastructure
AT jianyouli analyticalstudyonsteadyseepageofafoundationpitadjacenttoastructure
AT xilianwen analyticalstudyonsteadyseepageofafoundationpitadjacenttoastructure