Abstract
Finite element analysis and shell-spring approach are two widely adopted methods to quantify the induced loads in a tunnel lining: for a typical sequential ring, without any openings. This study assesses the effectiveness of utilizing these methods to evaluate cross-passage opening-induced stress redistribution occurring in the segmental lining. For this purpose, member forces were derived using each method based on a case in Bangkok, Thailand, where two cross-passages were being constructed between a bored tunnel and a shaft. The analysis was followed by a comparative study to discuss the effectiveness of using each method in the design of cross-passages. According to the results, it was found that the predicted member forces from both models are in accordance with each other. Hence it was concluded that, for a similar case, one can use more simplistic 3D shell-spring models to examine the lining response rather than carrying out complex 3D finite element models. Furthermore, it was found that the presence of circumferential joints in tunnel lining significantly affects the load transfer mechanism between the opened ring and the adjacent fully enclosed ring. As opposed to the 3D finite element model, the ability to explicitly consider this effect in the calculation was one of the key advantages of conducting the 3D shell-spring model. Moreover, this study concludes that the design of a temporary support system can also be conducted relatively easily and precisely by the 3D shell-spring approach.
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References
Ribeiro E, Sousa L (2006) Learning with accidents and damage associated to underground works. In: Geotech risk rock tunnels—sel pap from a course geotech risk rock tunnels, pp 7–39. https://doi.org/10.1201/9780203963586.ch2
Mashimo H (2002) State of the road tunnel safety technology in Japan. Tunn Undergr Sp Technol 17:145–152. https://doi.org/10.1016/S0886-7798(02)00017-2
Lee T-H, Choi T-C (2017) Numerical analysis of cross passage opening for TBM tunnels. In: Proceedings of the 19th international conference on soil mechanics and geotechnical engineering, Seoul, pp 1713–1719
The Professional Standards Compilation Group of People’s Republic of China (PSCG PRC) (2004) JTG D70-2004 Code for design of road tunnel. Bei**g
ITA COSUF (2019) Current practice on cross-passage design to support safety in rail and metro tunnels
Kuyt J (2015) Observed loading behavior during cross passage construction: Brisbane Airport Link Project. Colorado School of Mines
Catsman WCGW (2018) Interaction between soil and tunnel lining during cross passage construction using artificial ground freezing. Delft University of Technology
Murray MJ, Eskesen SD (1996) Design and construction of cross passages at the Storebaelt Eastern Railway tunnel. In: Tunnelling’97, pp 463–479
Klappers C, Grubl F, Ostermeier B (2006) Structural analyses of segmental lining—coupled beam and spring analyses versus 3D-FEM calculations with shell elements. Tunn Undergr Sp Technol 21:254–255. https://doi.org/10.1016/j.tust.2005.12.116
Zhang Z-Q, Xu J, Wan X-Y (2007) Study on tunnel construction mechanics at intersection of horizontal adit and major tunnel in highway. Yantu Lixue(Rock Soil Mech) 28:247–252
Li Z, Soga K, Wright P (2016) Three-dimensional finite element analysis of the behaviour of cross passage between cast-iron tunnels. Can Geotech J 53:930–945. https://doi.org/10.1139/cgj-2015-0273
The British Tunnelling Society and The Institution of Civil Engineers (2004) Tunnel lining design guide
International Tunnelling Association (2000) Guidelines for the design of shield tunnel lining (ITA WG 2 report). Tunn Undergr Sp Technol 15:303–331. https://doi.org/10.1016/S0886-7798(00)00058-4
Murakami H, Koizumi A (1980) On the behaviour of the transverse joints of a segment. In: Proceedings of the Japan society of civil engineers. japan society of civil engineers, pp 73–86
Duddeck H, Erdmann J (1985) Structural design models for tunnels in soft soil. Undergr Space, USA, p 9
Gall VE, Marwan A, Smarslik M et al (2018) A holistic approach for the investigation of lining response to mechanized tunneling induced construction loadings. Undergr Sp 3:45–60. https://doi.org/10.1016/j.undsp.2018.01.001
Li Z, Soga K, Wright P (2015) Long-term performance of cast-iron tunnel cross passage in London clay. Tunn Undergr Sp Technol 50:152–170. https://doi.org/10.1016/j.tust.2015.07.005
Gruebl F (2012) Segmental ring design—new challenges with high tunnel diameters. TAI J (Half Yrly Tech J Indian Chap TAI) 1:4–9
Brand EW, AS B (1977) Soil compressibility and land subsidence in Bangkok
Balasubramaniam AS, Oh EYN, Phienwej N (2009) Bored and driven pile testing in Bangkok sub-soils. Lowl Technol Int 11:29–36
Phien-wej N, Giao PH, Nutalaya P (2006) Land subsidence in bangkok, Thailand. Eng Geol 82:187–201
Surarak C, Likitlersuang S, Wanatowski D et al (2012) Stiffness and strength parameters for hardening soil model of soft and stiff Bangkok clays. Soils Found. https://doi.org/10.1016/j.sandf.2012.07.009
Thasnanipan N, Aye ZZ, Teparaksa W (2002) Barrette of over 50,000 kN ultimate capacity constructed in the multi-layered soil of Bangkok. In: Deep foundations 2002: an international perspective on theory, design, construction, and performance, pp 1073–1087
Narong T, Zaw AZ, Chanchai S, Wanchai T (2002) Performance of wet-process bored piles constructed with polymer-based slurry in Bangkok subsoil. Deep Found 2002:143–157
AGATE Consortium (2017) The MRT Orange Line (East Section) project contract E2: underground civil works Ram Khamhaeng 12—Hua Mak section geotechnical interpretative report
Jayasiri NS (2020) Design and Analysis of Tunnel Cross Passage for Rail and Road Tunnel with Emphasis on Tunnels with Segmental Lining. Asian Institute of Technology, Thailand
Wood AMM (1975) The circular tunnel in elastic ground. Géotechnique 25:115–127. https://doi.org/10.1680/geot.1975.25.1.115
Brinkgreve RBJ, Engin E, Swolfs WM (2013) PLAXIS 3D 2013 user manual. Plaxis BV, Delft
Vermeer PA, Brinkgreve R (1993) Plaxis version 5 manual. AA Balkema, Rotterdam
Peck RB (1969) Deep excavations and tunneling in soft ground. In: Proc 7th ICSMFE, pp 225–290
O’Reilly MP, New BM (1982) Settlements above tunnels in the United Kingdom-their magnitude and prediction. In: Tunneling’82 (1992), pp 173–181
Phien-Wej N, Humza M, Aye ZZ (2012) Numerical modeling of diaphragm wall behavior in Bangkok soil using hardening soil model. In: Geotechnical aspects of underground construction in soft ground. CRC Press, pp 733–740
CSISV (2010) 8 (2002) Integrated finite element analysis and design of structures basic analysis reference manual. Comput Struct Inc, Berkeley, California, USA
Wright S (1921) Correlation and causation. J Agric Res 20:557–585
Koyizumi J (2006) Segment design from allowable stress method to limit state method. Tokyo Jpn Soc Civ Eng
Yang F, Cao S, Qin G (2018) Performance of the prestressed composite lining of a tunnel: case study of the yellow river crossing tunnel. Int J Civ Eng 16:229–241
Yan Q, Li SC, **e C, Li Y (2018) Analytical solution for bolted tunnels in expansive loess using the convergence-confinement method. Int J Geomech 18:4017124
Acknowledgements
The authors would like to thank the Mass Rapid Transit Authority of Thailand (MRTA) and CH. Karnchang-Sino-Thai (CKST) Joint Venture for providing required data for the analysis.
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Jayasiri, N.S., Chao, K.C., Phien-Wej, N. et al. Design and analysis of tunnel cross-passage openings: 3D finite element analysis versus 3D shell-spring approach. Innov. Infrastruct. Solut. 7, 204 (2022). https://doi.org/10.1007/s41062-022-00805-z
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DOI: https://doi.org/10.1007/s41062-022-00805-z