Journal
APPLIED MATHEMATICAL MODELLING
Volume 68, Issue -, Pages 422-442Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.11.038
Keywords
Analytical Solution of twin tunnels; Unified displacement function; Complex variable method; Schwartz alternating method; Analyses of ground displacement field
Funding
- National Natural Science Foundation of China [51522802, 51421005, 51538001, 51778026]
- Natural Science Foundation of Beijing, China [8161001]
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A unified displacement function is used as the displacement boundary condition of the cross-section of each tunnel, which can be used to capture the asymmetrical deformation behaviors about the horizontal and vertical center line. Complex variable method is adopted to obtain the analytical solution of a single tunnel. Based on the Schwartz alternating method, the analytical solution of twin tunnels is obtained and the correctness of the analytical solution of twin tunnels is verified. A series of analyses are carried out to investigate the effects of the displacement boundary condition of the tunnel cross-section and the distance of twin tunnels on the ground surface settlement trough curve and the ground displacement field. Based on the proposed method, the parameters of displacement mode of the cross-section of twin tunnels are calibrated through field monitoring data of the Bangkok Subway Tunnel project, and the displacement field of the whole ground are analyzed. The proposed method can provides guidance in the conceptual stage of the design process of twin tunnels. (C) 2018 Elsevier Inc. All rights reserved.
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