This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Open AccessArticle
Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field
by
Zhufeng Cheng
Zhufeng Cheng 1,2,
De Zhou
De Zhou 2,*,
Qiang Chen
Qiang Chen 1 and
Shuaifu Gu
Shuaifu Gu 1
1
Sinohydro Engineering Bureau 8 Co., Ltd., Changsha 410083, China
2
School of Civil Engineering, Central South University, Changsha 410075, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2541; https://doi.org/10.3390/math13152541 (registering DOI)
Submission received: 4 July 2025
/
Revised: 31 July 2025
/
Accepted: 5 August 2025
/
Published: 7 August 2025
Abstract
Groundwater is an important factor for the stability of the subway station pit constructed in the offshore area. To reflect the effects of groundwater drawdown on the stability of the station pit, this work uses a surface settlement formula based on Rayleigh distribution to construct a continuous deformation velocity field based on Terzaghi's mechanism, so as to derive a theoretical calculation method for the safety factor of the deep station pit anti-uplift considering the effect of seepage force. Taking the seepage force as an external load acting on the soil skeleton, a simplified calculation method is proposed to describe the variation in shear strength with depth. Substituting the external work rate induced by self-weight, surface surcharge, seepage force, and plastic shear energy into the energy equilibrium equation, an explicit expression of the safety factor of the station pit is obtained. According to the parameter study and engineering application analysis, the validity and applicability of the proposed procedure are discussed. The parameter study indicated that deep excavation pits are significantly affected by construction drawdown and seepage force; the presence of seepage, to some extent, reduces the anti-uplift stability of the station pit. The calculation method in this work helps to compensate for the shortcomings of existing methods and has a higher accuracy in predicting the safety and stability of station pits under seepage situations.
Share and Cite
MDPI and ACS Style
Cheng, Z.; Zhou, D.; Chen, Q.; Gu, S.
Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field. Mathematics 2025, 13, 2541.
https://doi.org/10.3390/math13152541
AMA Style
Cheng Z, Zhou D, Chen Q, Gu S.
Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field. Mathematics. 2025; 13(15):2541.
https://doi.org/10.3390/math13152541
Chicago/Turabian Style
Cheng, Zhufeng, De Zhou, Qiang Chen, and Shuaifu Gu.
2025. "Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field" Mathematics 13, no. 15: 2541.
https://doi.org/10.3390/math13152541
APA Style
Cheng, Z., Zhou, D., Chen, Q., & Gu, S.
(2025). Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field. Mathematics, 13(15), 2541.
https://doi.org/10.3390/math13152541
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details
here.
Article Metrics
Article Access Statistics
For more information on the journal statistics, click
here.
Multiple requests from the same IP address are counted as one view.