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Analytical solutions for nonlinear consolidation of soft soil around a shield tunnel with idealized sealing linings
Institution:1. European Underground Research Infrastructure For Disposal In Clay Environment (EURIDICE), 2400 Mol, Belgium;2. Belgian Nuclear Research Center (SCK·CEN), 2400 Mol, Belgium;1. School of Earth Science and Engineering, Hohai University, Nanjing 210098, China;2. College of Hydrology and Water Resources, Hohai University, Nanjing 210098, China;3. Jiangsu Province Hydrology and Water Resources Investigation Bureau, Nanjing 210019, China;1. Department of Mining and Metallurgical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Hafez Ave., P.O. Box 44113-15875, Tehran, Iran;2. Department of Mining Engineering, Faculty of Engineering, University of Birjand, Birjand, Iran;1. School of Environment and Architecture, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, China;2. Department of Civil and Environmental Engineering, National University of Singapore, Singapore;3. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;4. Faculty of Engineering, Norwegian University of Science and Technology, Norway;5. School of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, China
Abstract:This paper presents the analytical solutions for nonlinear consolidation of soft soil around a shield tunnel with idealized sealing linings. By introducing the empirical relation between permeability and compressibility, along with the conformal transformation, the governing equations of nonlinear consolidation are established, and the corresponding analytical solutions are derived. Then, the Terzaghi consolidation solutions are derived from the degenerate governing equation of nonlinear consolidation. Through the predictions of different consolidation theories in both completely permeable and impermeable lining conditions, the influences of a tunnel acting as a drain and impacting the dissipation of pore pressure, degree of consolidation, long-term ground settlements and ground settlement rates are investigated. During the early stages of consolidation, the case studies reveal that the predictions made by this study strongly agree with the field data when a completely permeable lining is applied. This study confirms that a tunnel acting as a drain can accelerate the consolidation of soil and enlarge soil deformation due to consolidation. During long term consolidation, a notable nonlinearity of the soil consolidation is exhibited by a small and gradually decreasing settlement rate, showing agreement with the tendency of field data from the impermeable conditions.
Keywords:Shield tunnel  Nonlinear consolidation  Analytical solution  Sealing linings
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