Top

Geotechnical and Geological Engineering

Published in:

01-08-2020 | Original Paper

Twin Tunnels Stability Factors F_c, F_s and F_γ

Authors: Jim Shiau, Fadhil Al-Asadi

Published in: Geotechnical and Geological Engineering | Issue 1/2021

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper uses tunnel stability factors to estimate the minimum supporting pressure required to maintain the stability of twin circular tunnels drive side-by-side in drained cohesive-frictional soil. Similar to the bearing capacity equation proposed by Terzaghi, the proposed method is based on the three stability factors (F_c, F_s and F_γ) that are functions of the soil internal friction angle and the tunnel depth ratio. Unlike the case of a single tunnel, the centre-to-centre distance between the tunnels appears as a new parameter that must be considered in twin tunnel stability. For various spacing ratios (S/D) between the tunnels, non-dimensional tunnel stability factors (F_c, F_s and F_γ) are established for various depth ratios (C/D) and soil internal friction angles (Ø) using two-dimensional finite element limit analysis. For practical suitability, the results are presented in the form of dimensionless stability charts with the actual tunnel stability factors closely bracketed from above and below using upper and lower bound methods. As an extra validation, the results are compared with available solutions reported in the literature.

previous article An Experimental Study on the Bio-cementation and Bio-clogging Effect of Bacteria in Improving Weak Dredged Soils

next article Influence of the Micro-deformation Characteristics of Binary Media on the Shear Behavior of Structural Plane

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Ghaboussi J, Ranken RE (1977) Interaction between two parallel tunnels. Int J Numer Anal Method Geomech 1(1):75–103CrossRef

Keawsawasvong S, Ukritchon B (2017) Undrained stability of an active planar trapdoor in non-homogeneous clays with a linear increase of strength with depth. Comput Geotech 81:284–293CrossRef

Krabbenhoft K, Lyamin AV, Hjiaj M, Sloan SW (2005) A new discontinuous upper bound limit analysis formulation. Int J Numer Methods Eng 63(7):1069–1088CrossRef

Krabbenhøft K, Lyamin AV, Sloan SW (2007) Formulation and solution of some plasticity problems as conic programs. Int J Solids Struct 44(5):1533–1549CrossRef

Lee CJ, Wu BR, Chen HT, Chiang KH (2006) Tunnel stability and arching effects during tunneling in soft clayey soil. Tunn Undergr Space Technol 21(2):119–132CrossRef

Lu X, Zhou Y, Huang M, Li F (2017) Computation of the minimum limit support pressure for the shield tunnel face stability under seepage condition. Int J Civ Eng 15(6):849–863CrossRef

Lyamin AV, Sloan SW (2000) Stability of a plane strain circular tunnel in a cohesive-frictional soil. In: Developments in theoretical geomechanics: proceedings of the Booker memorial symposium, Sydney, NSW, Australia, pp 139–154

Lyamin AV, Sloan SW (2002a) Lower bound limit analysis using non-linear programming. Int J Numer Methods Eng 55(5):573–611CrossRef

Lyamin AV, Sloan SW (2002b) Upper bound limit analysis using linear finite elements and non-linear programming. Int J Numer Anal Methods Geomech 26(2):181–216CrossRef

Lyamin AV, Jack DL, Sloan SW (2001) Collapse analysis of square tunnels in cohesive–frictional soils. In: Computational mechanics–new frontiers for the new millennium. Elsevier, pp 405–414

Mollon G, Dias D, Soubra AH (2011) Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield. Int J Numer Anal Methods Geomech 35(12):1363–1388CrossRef

OptumCE (2019) OptumG2. Copenhagen, Denmark: optum computational engineering. https://optumce.com/. Accessed 10 Aug 2019

Osman AS (2010) Stability of unlined twin tunnels in undrained clay. Tunn Undergr Space Technol 25(3):290–296CrossRef

Sahoo JP, Kumar J (2013) Stability of long unsupported twin circular tunnels in soils. Tunn Undergr Space Technol 38:326–335CrossRef

Shiau J, Al-Asadi F (2018) Revisiting Broms and Bennermarks original stability number for tunnel headings. Géotechn Lett 8(4):310–315CrossRef

Shiau J, Al-Asadi F (2020a) Three-dimensional analysis of circular tunnel headings using Broms and Bennermarks original stability number. Int J Geomech 20(7):06020015CrossRef

Shiau J, Al-Asadi F (2020b) Three-dimensional heading stability of twin circular tunnels. Geotech Geol Eng. https://doi.org/10.1007/s10706-020-01201-zCrossRef

Shiau J, Al-Asadi F (2020c) Two-dimensional tunnel heading stability factors F_c, F_s and F_γ. Tunn Undergr Space Technol 97:103293CrossRef

Shiau J, Al-Asadi F (2020d) Determination of critical tunnel heading pressures using stability factors. Comput Geotech 119:103345CrossRef

Shiau J, Hassan MM (2019) Undrained stability of active and passive trapdoors. Geotech Res 7:40–48CrossRef

Shiau J, Sams M (2019) Relating volume loss and greenfield settlement. Tunn Undergr Space Technol 83:145–152CrossRef

Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int J Numer Anal Methods Geomech 12(1):61–77CrossRef

Sloan SW (1989) Upper bound limit analysis using finite elements and linear programming. Int J Numer Anal Methods Geomech 13(3):263–282CrossRef

Sloan SW (2013) Geotechnical stability analysis. Geotechnique 63(7):531–572CrossRef

Ukritchon B, Keawsawasvong S (2017) Design equations for undrained stability of opening in underground walls. Tunn Undergr Space Technol 70:214–220CrossRef

Vermeer PA, Ruse N, Marcher T (2002) Tunnel heading stability in drained ground. Felsbau 20(8):8–18

Wilson DW, Abbo AJ, Sloan SW, Lyamin AV (2014) Undrained stability of dual circular tunnels. Int J Geomech 14(1):69–79CrossRef

Wilson DW, Abbo AJ, Sloan SW, Lyamin AV (2015) Undrained stability of dual square tunnels. Acta Geotech 10(5):665–682CrossRef

Wu BR, Lee CJ (2003) Ground movements and collapse mechanisms induced by tunneling in clayey soil. Int J Phys Model Geotech 3(4):15–29

Xie J, Gunn MJ, Rahim A (2004) Collapse analysis for two parallel circular tunnels with different diameters in soil. In: Numerical models in geomechanics. CRC Press, Ottawa, Canada, pp 421–426

Zhou Y, Zhu Y, Wang S, Wang H, Wang Z (2019) Rotational failure mechanism for face stability of circular shield tunnels in frictional soils. Adv Civ Eng. https://doi.org/10.1155/2019/7167802CrossRef

Title: Twin Tunnels Stability Factors Fc, Fs and Fγ
Authors: Jim Shiau
Fadhil Al-Asadi
Publication date: 01-08-2020
Publisher: Springer International Publishing
Published in: Geotechnical and Geological Engineering / Issue 1/2021
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI: https://doi.org/10.1007/s10706-020-01495-z

Asymmetric Deformation Mechanism and Control of Roadway in Structural Complex Area

Original Paper

Effect of Freeze–Thaw Temperature and Number of Cycles on the Physical and Mechanical Properties of Marble

Original Paper

Quantifying the Impact of Bolting Patterns on the Performance of Welded Wire Mesh

Original Paper

Insight into the Effect of Fine Content on Liquefaction Behavior of Soil

State-of-the-Art Review

Structural Characteristics of Natural Loess in Northwest China and its Effect on Shear Behavior

Original Paper

An Experimental Study on the Bio-cementation and Bio-clogging Effect of Bacteria in Improving Weak Dredged Soils

Original Paper