Analytical Solution for Steady-State Seepage Field of Foundation Pit During Water Curtain Leakage

In recent years, with the increasing difficulty of foundation pit projects, the frequency of leakage accidents has also increased. In order to ensure that the excavation of foundation pits is carried out smoothly, water-stop curtains are generally used to protect the foundation pit. Once leakage occurs in the water-stop curtain, it will inevitably delay the schedule, cause significant harm, and even jeopardize life. Therefore, this paper analyses and investigates the two-steady-state seepage field of the foundation pit when the permeable anisotropic soil layer suspends the leakage of the water curtain. To calculate head distribution solutions, the soil layer surrounding the curtain was divided into five regular regions, and the superposition method and method of separating variables were used. These results were then combined with the continuity conditions between the regions to obtain the explicit analytical solutions of the seepage flow field around the pit. Calculations were compared using finite element software and other references, and the results were in good agreement, verifying the correctness of the analytical solution. Parameter analysis showed that the location and width of vertical leakage cracks have limited influence on the head distribution of the foundation pit and water pressure around the water curtain, but significant influence on the seepage flow at the leakage location.

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Publication Details

Journal
Mathematics
Published
2025-01-09
DOI
https://doi.org/10.3390/math13020203
Citations
2
Primary Topic
Grouting, Rheology, and Soil Mechanics
Type
article
Field-Weighted Citation Impact
1.91

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article

Analytical Solution for Steady-State Seepage Field of Foundation Pit During Water Curtain Leakage

Dongkai Li, Weijie Zhang, Jun Yu
2 citations
Mathematics
Grouting, Rheology, and Soil Mechanics
1.91
article

Analytical Solution for Steady-State Seepage Field of Foundation Pit During Water Curtain Leakage

Dongkai Li, Weijie Zhang, Jun Yu
article en
2 citations

Abstract

In recent years, with the increasing difficulty of foundation pit projects, the frequency of leakage accidents has also increased. In order to ensure that the excavation of foundation pits is carried out smoothly, water-stop curtains are generally used to protect the foundation pit. Once leakage occurs in the water-stop curtain, it will inevitably delay the schedule, cause significant harm, and even jeopardize life. Therefore, this paper analyses and investigates the two-steady-state seepage field of the foundation pit when the permeable anisotropic soil layer suspends the leakage of the water curtain. To calculate head distribution solutions, the soil layer surrounding the curtain was divided into five regular regions, and the superposition method and method of separating variables were used. These results were then combined with the continuity conditions between the regions to obtain the explicit analytical solutions of the seepage flow field around the pit. Calculations were compared using finite element software and other references, and the results were in good agreement, verifying the correctness of the analytical solution. Parameter analysis showed that the location and width of vertical leakage cracks have limited influence on the head distribution of the foundation pit and water pressure around the water curtain, but significant influence on the seepage flow at the leakage location.

MathematicsVol. 13(2)
Central South University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 18%
Grouting, Rheology, and Soil Mechanics
1.91
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Analytical Solution for Steady-State Seepage Field of Foundation Pit During Water Curtain Leakage — Dongkai Li, Weijie Zhang, et al. · Mathematics (2025) | TGRS Research Map | TGRS