Hyperstatic Reaction Method for the Design of U-Shaped Tunnel Supports
Publication: International Journal of Geomechanics
Volume 18, Issue 6
Abstract
This paper presents a numerical hyperstatic reaction method (HRM) for analyzing U-shaped (with inverted arch) tunnel structures. A comparison of the results obtained from two different load conditions, i.e., with and without considering the change in depth of external loads under the effect of a gravity field, is presented. The parameters that have an effect on the design of the support structures are presented. The calculation code was developed by using the finite element method (FEM) framework. This code considers the effective geometry of the support, the horizontal and vertical loads, and enables analysis of the ground mass–structure interaction in detail. The proposed numerical HRM model is validated by using a finite difference model. The numerical results obtained show that the proposed HRM model can be used to effectively design inverted U-shaped tunnel supports. Also discussed is the influence of different parameters on the support structures, which make it possible to verify their influence on the dimensioning of the support structures.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The first author thanks the China Scholarship Council for providing him with a Ph.D. Scholarship for his research work. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant 105.08-2015.14. The authors also wish to thank the anonymous reviewers for their thoughtful suggestions that contributed to an important improvement to this work.
References
Arnau, O., and Molins, C. (2011). “Experimental and analytical study of the structural response of segmental tunnel supports based on an in situ loading test. Part 2: Numerical simulation.” Tunnelling Underground Space Technol., 26(6), 778–788.
Barpi, F., Barbero, M., and Peila, D. (2011). “Numerical modelling of ground-tunnel support interaction using bedded-beam-spring model with fuzzy parameters.” Gospodarka Surowcami Mineralnymi–Min. Res. Manage., 27(4), 71–87.
Brown, E. T., Bray, J. W., Ladanyi, B., and Hoek, E. (1983). “Ground response curves for rock tunnels.” J. Geotech. Eng., 15–39.
Do, N.-A., Dias, D., Oreste, P., and Djeran-Maigre, I. (2013a). “2D numerical investigation of segmental tunnel lining behavior.” Tunnelling Underground Space Tech., 37, 115–127.
Do, N.-A., Dias, D., Oreste, P., and Djeran-Maigre, I. (2013b). “2D tunnel numerical investigation: The influence of the simplified excavation method on tunnel behaviour.” Geotech. Geol. Eng., 37(1), 43–48.
Do, N.-A., Dias, D., Oreste, P., and Djeran-Maigre, I. (2014a). “A new numerical approach to the hyperstatic reaction method for segmental tunnel supports.” Int. J. Numer. Anal. Methods Geomech., 38(15), 1617–1632.
Do, N.-A., Dias, D., Oreste, P., and Djeran-Maigre, I. (2014b). “The behaviour of the segmental tunnel support studied by the hyperstatic reaction method.” Eur. J. Environ. Civil Eng., 18(4), 489–510.
Duddeck, H. (1988). “Guidelines for the design of tunnels.” Tunnelling Underground Space Technol., 3(3), 237–249.
Duddeck, H., and Erdmann, J. (1985). “On structural design models for tunnels in soft soil.” Underground space, volume 9, Pergamon Press, Oxford U.K., 246–259.
Einstein, H. H., and Schwartz, C. W. (1979). “Simplified analysis for tunnel supports.” J. Geotech. Eng. Div., 105(4), 499–518.
FLAC3D [Computer software]. Itasca Consulting Group, Minneapolis.
Hoek, E., and Brown, E. T. (1980). Underground excavations in ground, The Institution of Mining and Metallurgy, London.
Huebner, K. H., Dewhirst, D. L., Smith, D. E., and Byrom, T. G. (2001). The finite element method for engineers. John Wiley and Sons, New York.
Leca, E., and Clough, G. W. (1992). “Preliminary design for NATM tunnel support in soil.” J Geotech Eng., 558–575.
Mashimo, H., and Ishimura, T. (2005) “Numerical modelling of the behaviour of shield tunnel support during assembly of a tunnel ring.” Proc., 5th Int. Symp. of Geotechnical Aspects of Underground Construction in Soft Ground, Taylor & Francis, Amsterdam, Netherlands, 587–593.
Möller, S. (2006) “Tunnel induced settlements and structural forces in supports.” Ph.D. dissertation, Stuttgart Univ., Stuttgart, Germany.
Oreste, P. (1999). “Important aspects of the analysis and dimensioning of tunnel supports through numerical methods.” Gallerie e Grandi Opere Sotterranee, 57, 39–50.
Oreste, P. (2003). “Analysis of structural interaction in tunnels using the convergence-confinement approach.” Tunnelling Underground Space Technol., 18(4), 347–363.
Oreste, P. (2007). “A numerical approach to the hyperstatic reaction method for the dimensioning of tunnel supports.” Tunnelling Underground Space Technol., 22(2), 185–205.
Oreste, P. P., and Dias, D. (2012). “Stabilisation of the excavation face in shallow tunnels using fibreglass dowels.” Rock Mech. Rock Eng., 45(4), 499–517.
Pan, Q., and Dias, D. (2017). “Upper-bound analysis on the face stability of a non-circular tunnel.” Tunnelling Underground Space Technol., 62, 96–102.
Panet, M. (1995). Le calcul des tunnels par la méthode convergence confinement, Presses de l’école nationale des ponts et chaussées, Paris (in French).
Plizzari, G. A., and Tiberti, G. (2006). “Steel fibers as reinforcement for precast tunnel segments.” Tunnelling Underground Space Technol., 21(3–4), 438–439.
Vu, M. N., Broere, W., and Bosch, J. (2015). “The impact of shallow cover on stability when tunnelling in soft soils.” Tunnelling Underground Space Technol., 50, 507–515.
Vu, M. N., Broere, W., and Bosch, J. W. (2017). “Structural analysis for shallow tunnels in soft soils.” Int. J. Geomech., 04017038.
Information & Authors
Information
Published In
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Jun 13, 2017
Accepted: Oct 30, 2017
Published online: Mar 16, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 16, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.