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

Jun Yu, Weijie Zhang and Dongkai Li ()
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Jun Yu: School of Civil Engineering, Central South University, Changsha 410075, China
Weijie Zhang: School of Civil Engineering, Central South University, Changsha 410075, China
Dongkai Li: School of Civil Engineering, Central South University, Changsha 410075, China

Mathematics, 2025, vol. 13, issue 2, 1-20

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.

Keywords: explicit analytic solution; total water head distribution; water pressure; seepage volume; water-stop curtain leakage (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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