Abstract
Immersed tunnels are generally connected by tube elements through the joints, which are the weakest parts and sensitive to deformation. However, it is inevitable that there will be vertical differential settlement between the joints of the tube element, resulting from uneven loads caused by back silting, differential settlement of foundations in soft soil, the heavy deposit of ground soil, and increasing tube length. Differential settlement at joints is very harmful to the safety of tunnel construction and operation, but the elastic foundation beam method—which is now widely used for calculation of settlement for immersed tunnels—cannot take joint differential settlement into account. Therefore, this paper proposes a new mechanical model for joints of immersed tunnels in consideration of the influence of joint differential settlement. The model is not only convenient for adoption in calculation, but also considers the influence of variation on the rigidity of groundwork. The results show that the bending stiffness of the joint changes with variations in differential settlement, and depends on whether differential settlement and the eccentricity are on the same side of the neutral axis or the other. Then, both the increase of eccentricity and the use of shear key will expose positive effect on the rise of bending stiffness. By calculating this mechanical model via considering differential settlement, the max error was only 7.3%. Therefore, it may have significance as safety guidelines for the construction and operation of immersed tunnels.
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References
Einstein HH, Viek SG (1974) Geologic model for a tunnel cost model. Proc Rapid Excav Tunn Conf 13(2):1701–1720
Einstein HH (1996) Risk and risk analysis in rock engineering. Tunn Undergr Space Technol 11(2):141–155
Einstein HH, Indermitte C, Sinfield JV, Descoeudres FP, Dudt J (1999) Decision aids for tunneling. Transp Res Rec 1656(1656):6–13
Grantz WC (2001a) Immersed tunnel settlements-parts 1: nature of settlements. Tunn Undergr Space Technol 16(3):195–201
Grantz WC (2001b) Immersed tunnel settlements-parts 2: case histories. Tunn Undergr Space Technol 16(3):203–210
Anastasopoulos I, Gerolymos N, Drosos V, Kourkoulis R, Georgarakos T, Gazetas G (2007) Nonlinear response of deep immersed tunnel to strong seismic shaking. J Geotech Geoenviron Eng 133(9):1067–1090
Ingerslev LCF (2005) Considerations and strategies behind the design and construction requirements of the Istanbul Strait immersed tunnel. Tunn Undergr Space Technol 20(6):604–608
Wei G, Su QW (2014) Application of three-parameter model in settlement calculation of immersed tube tunnel. Appl Mech Mater 470:298–303
Schmidt B, Grantz WC (1979) Settlements of immersed tunnels. J Geotech Geoenviron Eng 105(9):1031–1047
Hashash YM, Hook JJ, Schmidt B, Yao JI (2001) Seismic design and analysis of underground structures. Tunn Undergr Space Technol 16(4):247–293
Zhang F, Gao YF, Wu YX, Zhang N (2018) Upper bound solutions for face stability of circular tunnels in undrained clays. Géotechnique 68(1):76–85
Wu RD, Ying ZQ, Wang Z, Su LW (2013) Model test for hydrodynamic parameters of immersed tunnel in static water. Appl Mech Mater 477:754–758
Li P, Song EX (2015) Three-dimensional numerical analysis for the longitudinal seismic response of tunnels under an asynchronous wave input. Comput Geotech 63:229–243
Yu HT, Xiao WH, Yuan Y, Taerwe L (2017) Seismic mitigation for immersion joints: design and validation. Tunnel Undergr Space Technol 67:39–51
Xiao W, Yu H, Yuan Y, Taerwe L, Chai R (2015) Compression–bending behavior of a scaled immersion joint. Tunn Undergr Space Technol 49:426–437
Kiyomiya O, Higashiyama Y, Ohgoshi Y, Yokota H (2006) New type flexible joint for the Yumeshima Immersed Tunnel. Tunn Undergr Space Technol 21(3):331–331
Glerum A (1995) Developments in immersed tunnelling in Holland. Tunn Undergr Space Technol 10(4):455–462
Gokce A, Koyama F, Tsuchiya M, Gencoglu T (2009) The challenges involved in concrete works of Marmaray immersed tunnel with service life beyond 100 years. Tunn Undergr Space Technol 24(5):592–601
Wei G, Qiu HJ, Yang ZF, Wang DD, Xing JJ (2017) Model tests on compression of base layer of immersed tube tunnels considering siltation. Chin J Geotech Eng 36(8):1545–1552
Hu Z, Xie Y, Xu G, Bin S, Zhang H, Lai H, Yan C (2018) Segmental joint model tests of immersed tunnel on a settlement platform: a case study of the Hongkong-Zhuhai-Macao Bridge. Tunn Undergr Space Technol 78:188–200
Kiyomiya O (1995) Earthquake-resistant design features of immersed tunnels in Japan. Tunn Undergr Space Technol 10(4):463–475
Shishido T, Mikami K, Adachi S, Yuasa K (1998) Construction of immersed tunnel in Osaka Port. In: International symposium on underwater technology, IEEE
Wu RD, Ying ZQ, Wang Z, Su LW (2017) Modeling of nonlinear behaviors of immersion joint. Mech Eng 36(6):757–763
Zhang F, Gao YF, Wu YX, Wang ZX (2018) Face stability analysis of large-diameter slurry shield-driven tunnels with linearly increasing undrained strength. Tunn Undergr Space Technol 78:178–187
Peng L, Wenqi D, Bo Y (2014) Calculation method of immersed tube tunnel considering mechanical characteristics of joints. J Central South University (Sci Technol) 45(06):1983–1991
Rasmussen N (1997) Chapter 9 catalogue of immersed tunnels. Tunn Undergr Space Technol 12(2):163–316
Zhang ZG, Lin W, Liu XD, Wang Y, Liu HZ (2015) Design of backfill protection of near-land section of immersed tunnel of Hongkong-Zhuhai-Macao Link. Tunn Constr 35:1188
Acknowledgements
This study was supported by the National Natural Science Foundation of China (52078317, 51708377), Natural Science Foundation of Jiangsu Province (BK20170339), project from Jiangsu Provincial Department of Housing and Urban-Rural Development (2020ZD05), and Bureau of Housing and Urban-Rural Development of Suzhou (2019-14, 2020-15).
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Liu, P., Chen, J., Chen, Y. et al. Mechanical Model for Joints of Immersed Tunnel Considering the Influence of Joint Differential Settlement. Int. J. of Geosynth. and Ground Eng. 6, 57 (2020). https://doi.org/10.1007/s40891-020-00241-y
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DOI: https://doi.org/10.1007/s40891-020-00241-y