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Seismic analysis of underground tunnels by the 2.5D finite/infinite element approach
Institution:1. Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan;2. National Center for Research on Earthquake Engineering, Taipei 106, Taiwan;3. Department of Civil Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan;4. MOE Key Laboratory of New Technology for Construction of Cities in Mountain Area and School of Civil Engineering, Chongqing University, Chongqing 400045, China;1. Tianjin Key Laboratory of Structural Protection and Reinforcement, Tianjin Chengjian University, Tianjin 300384, China;2. School of Civil and Environmental Engineering, University of Technology Sydney, NSW 2007, Australia;3. Department of Civil Engineering, Tianjin University, Tianjin 300072, China;4. Precast Concrete R&D Center, Tianjin Housing Identification Architectural Design Institute, Tianjin 300318, China;1. School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran;2. Center of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran;1. Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran;2. Geotechnical Engineering Research Center, International Institute of Earthquake Engineering and Seismology (IIEES), No. 26, Arghavan Street, North Dibajee, Farmanieh, Tehran, Iran;3. Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;1. Hubei Key Laboratory of Roadway Bridge and Structure Engineering, Wuhan University of Technology, Wuhan 430070, China;2. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China;3. School of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China
Abstract:A procedure for the seismic analysis of underground tunnels using recorded free-field earthquakes based on the 2.5D finite/infinite element approach is presented. The near and far fields of the half space are modeled by finite and infinite elements, respectively. Using the 1D wave theory, the nodal force and displacement on the near-field boundary are computed for each spectral frequency of the earthquake. Then, equivalent seismic forces are computed for the near-field boundary for the earthquake spectrum. By assuming the soil-tunnel system to be uniform along the tunnel axis, the 2.5D approach can account for the wave transmission along the tunnel axis, which reduces to the 2D case for infinite transmission velocity. The horizontal and vertical components of the 1999 Chi-Chi Earthquake (TCU068) are adopted as the free-field motions in the numerical analysis. The maximal stresses and distribution patterns of the tunnel section under the P- and SV-waves are thoroughly studied by the 2.5D and 2D approaches, which should prove useful to the design of underground tunnels.
Keywords:Earthquake  Free field  Infinite element  2  5D approach  Tunnel  Wave transmission
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