A review of stress distribution in circular tunnels

Document Type : Original Article

Authors

1 Assistant Professor, Department of Engineering, Malayer University, Malayer, Iran.

2 M.Sc., Student, Department of Engineering, Malayer University, Malayer, Iran.

10.22034/road.2021.211545.1879

Abstract

In this paper, a review of stress distribution in circular tunnels is presented. Given that there are many different theories and methods on how to distribute stress around the tunnel, some of which are challenging. This led to a more accurate comparison. The research method in this article is based on reviewing and comparing conventional methods in the articles of researchers in this field. The results of this research are shown in comparative tables of different methods. In general, in the rocky and soil masses in the depths of the ground, stresses called in situ stresses act. The main cause of in situ stresses is the weight of the upper classes and the tectonic activities of the region.Understanding the status of inductive and inductive stresses is one of the essential requirements of tunnel design and other underground structures because in many cases the inductive stresses may exceed the rock resistance level and, if not thought through, may damage the structure. This perturbation of the in situ stress condition only extends to a certain distance from the tunnel axis, which is called the radius of impact, and beyond that, the stress situation remains intact. In addition to the shape and dimensions of the tunnel, the manner and velocity of tunnel digging as well as the staging of the various sections (in cases where tunnel sections are dug in several steps) are also effective in arranging the induced stresses and the drilling system must be designed to minimize instability.

Keywords


_ مدنی، ح.، (1393)، "تونلسازی"، تهران، انتشارات دانشگاه صنعتی امیرکبیر.
_ هوک، بی.، (1376)، "سازه­های زیرزمینی در سنگ"، (ترجمه ا. فهیمی­فر). تهران، مکانیک خاک، وزارت راه و شهرسازی. (سال انتشار به زبان اصلی 1995).
 _ گودمن، ر.ای.، (1374)، "مکانیک سنگ"، (ترجمه م. دانش)، تهران، صنعت فولاد.
 
- علمدار، م.ر.، آزادی، م.، (1395)، "مطالعه پارامتریک اثر حفاری تونل‌های نعل اسبی بر نشست ماکزیمم سطح زمین و نیروهای داخلی پوشش تونل­"، نشریه جاده 103،
ص.152-143.
 
- جام سحر، ا. و آزادی، م.، (1397)، "بررسی اثر روانگرایی خاک‌ها بر تونل‌های دوقلو تحت‌بار هارمونیک"، نشریه جاده شماره 105، ص.94-26.
 
-Abdellah, W. R., Ali, M. A., & Yang, H. S., (2018), “Studying the effect of some parameters on the stability of shallow tunnels”, Journal of Sustainable Mining, 17(1),
pp.20-33.
 
-Bell, F., (1994), “Engineering in rock Masses. Butter worth Heinemann Ltd.
 
-Budavari, S., (1983), “Rock mechanics in Mining Practice”, The South African Institute.
-Fang, X. Q., Jin, H. X., & Wang, B. L., (2015), “Dynamic interaction of two circular lined tunnels with imperfect interfaces under cylindrical P-waves”, International Journal of Rock Mechanics and Mining Sciences, 79, pp.172-182.
 
-Feldgun, V. R., Karinski, Y. S., & Yankelevsky, D. Z., (2014), “The effect of an explosion in a tunnel on a neighboring buried structure”, Tunnelling and Underground Space Technology, 44, pp.42-55.
 
-Goodman, R., (1989),­“Introduction to Rock Mechanics”, John Wiley & Sons Inc.
-Kargar, A., Rahmannejad, R., Abasi, H., & Ali, M., (2015), “Investigation of stress field around circular tunnels with concrete lining using complex potential functions”, Modares Mechanical Engineering, 15(1), pp.267-276.
 
-Kouretzis, G. P., Andrianopoulos, K. I., Sloan, S. W., & Carter, J. P., (2014), “Analysis of ircular tunnels due to seismic P-wave propagation”, with emphasis on unreinforced concrete liners. Computers and Geotechnics, 55, pp.187-194.
 
-Kuesel, T. R., King, E. H., & Bickel, J. O., (2012), “Tunnel engineering handbook”, Springer Science & Business Media.
 
-Li, X., Cao, W., Tao, M., Zhou, Z., & Chen, Z., (2016), “Influence of unloading disturbance on adjacent tunnels”, International Journal of Rock Mechanics and Mining Sciences, 84, pp.10-24.
-Lu, A. Z., Xu, G. S., Sun, F., & Sun, W. Q., (2010), “Elasto-plastic analysis of a circular tunnel including the effect of the axial in situ stress”, International Journal of Rock Mechanics and Mining Sciences, 47(1),
pp.50-59.
 
-Nikadat, N., Fatehi Marji, M., Abdollahipure, A., (2015), “Numerical modelling of stress analysis around rectangular tunnels with large discontinuities (fault) by a hybridized indirect BEM. J. Cent.”, South Univ. 22,
pp.4291-4299.
 
-Nikadat, N., Marji, M. F., Rahmannejad, R., & Bafghi, A. Y., (2016), “Effect of joint spacing and joint dip on the stress distribution around tunnels using different numerical methods”, Journal of African Earth Sciences, 123, pp.193-209.
 
-Wang, H. N., Zeng, G. S., Utili, S., Jiang, M. J., & Wu, L., (2017), “Analytical solutions of stresses and displacements for deeply buried twin tunnels in viscoelastic rock”, International Journal of Rock Mechanics and Mining Sciences, 93, pp.13-29.
 
-Wu, X., Jiang, Y., Guan, Z., & Gong, B., (2019), “Influence of confining pressure-dependent Young’s modulus on the convergence of underground excavation”, Tunnelling and Underground Space Technology, 83, pp.135-144.
 
 
 
 
 
 
 
-Xu, M. F., Wu, S. C., Gao, Y. T., Ma, J., & Wu, Q. L., (2019), “Analytical elastic stress solution and plastic zone estimation for a pressure-relief circular tunnel using complex variable methods”, Tunnelling and Underground Space Technology, 84,
pp.381-398.
 
-Yang, J. H., Jiang, Q. H., Zhang, Q. B., & Zhao, J., (2018), “Dynamic stress adjustment and rock damage during blasting excavation in a deep-buried circular tunnel”, Tunnelling and Underground Space Technology, 71,
pp.591-604.
 
-Yi, C., Zhang, P., Johansson, D., & Nyberg, U., (2014), “Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves”, Computers and Geotechnics, 55, pp.165-171.
 
-Zareifard, M. R., & Fahimifar, A., (2016), “Analytical solutions for the stresses and deformations of deep tunnels in an elastic-brittle-plastic rock mass considering the damaged zone”, Tunnelling and Underground Space Technology, 58, pp.186-196.
 
-Zou, J. F., Wei, A., & Yang, T., (2018), “Elasto-plastic solution for shallow tunnel in semi-infinite space”, Applied Mathematical Modelling, 64, pp.669-687.
 
-Zou, J., & Li, S. (2015), “Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling”, Science China Technological Sciences, 58(8), pp.1401-1413.