Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field
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 de...
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MDPI AG
2025-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/15/2541 |
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| author | Zhufeng Cheng De Zhou Qiang Chen Shuaifu Gu |
| author_facet | Zhufeng Cheng De Zhou Qiang Chen Shuaifu Gu |
| author_sort | Zhufeng Cheng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-abeb5f3bffe344efa36e397b4e9f02e9 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-abeb5f3bffe344efa36e397b4e9f02e92025-08-20T04:00:49ZengMDPI AGMathematics2227-73902025-08-011315254110.3390/math13152541Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity FieldZhufeng Cheng0De Zhou1Qiang Chen2Shuaifu Gu3Sinohydro Engineering Bureau 8 Co., Ltd., Changsha 410083, ChinaSchool of Civil Engineering, Central South University, Changsha 410075, ChinaSinohydro Engineering Bureau 8 Co., Ltd., Changsha 410083, ChinaSinohydro Engineering Bureau 8 Co., Ltd., Changsha 410083, ChinaGroundwater 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.https://www.mdpi.com/2227-7390/13/15/2541station pit stabilitycontinuous deformation velocityseepage fieldupper bound |
| spellingShingle | Zhufeng Cheng De Zhou Qiang Chen Shuaifu Gu Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field Mathematics station pit stability continuous deformation velocity seepage field upper bound |
| title | Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field |
| title_full | Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field |
| title_fullStr | Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field |
| title_full_unstemmed | Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field |
| title_short | Safety Analysis of Subway Station Under Seepage Force Using a Continuous Velocity Field |
| title_sort | safety analysis of subway station under seepage force using a continuous velocity field |
| topic | station pit stability continuous deformation velocity seepage field upper bound |
| url | https://www.mdpi.com/2227-7390/13/15/2541 |
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