Analytical solutions of stresses and displacements for deeply buried twin tunnels in viscoelastic rock

Wang, H.N.; Zeng, Guangshang; Utili, Stefano; Jiang, Mingjing; Wu, Lei

doi:10.1016/j.ijrmms.2017.01.002

Cited by 63 publications

(16 citation statements)

References 35 publications

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“…All the aforementioned works by using the Schwarz alternating method are based on the assumption of elasticity. Wang et al derived a new analytical solution for the calculation of stresses and displacements using this method for two parallel twin tunnels located at a short distance apart accounting for the effect of rock timedependent behavior and sequential excavation in viscoelastic rock [49]. To the author's knowledge, only the calculation to find the stress distribution characteristics of adjacent horizontal parallel tunnels in an elastoplastic infinite medium utilizing the complex function theory, the Schwarz alternating method and the D-P yield criterion [50].…”

Section: Discussionmentioning

confidence: 99%

Using the Schwarz Alternating Method to Identify Critical Water‐Resistant Thickness between Tunnel and Concealed Cavity

Guo

Chen

Fan³

et al. 2018

Advances in Civil Engineering

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is paper aims to estimate the stability of the water-resistant strata between the tunnel and the small-medium-sized concealed cavity filled with high-pressurized water or other fillings at optional position around tunnel through solving the double-hole problem. e analytical method to identify the critical water-resistant thickness is proposed based on the Schwarz alternating method and Griffith strength criterion, and the program to calculate the critical thickness was prepared according to this method using mathematical software. Parametric study of the critical thickness indicates that the critical water-resistant thickness will increase with the buried depth of the tunnel and cavity size; the lateral pressure coefficient has more complicated influence on the critical thickness, which is affected by cavity position; when the cavity is filled with sand or gravel, the critical water-resistant thickness will decrease with the increase of the filling pressure; and when the cavity is filled with the high-pressurized water, the critical thickness will decrease as the water pressure initially and increase afterwards. e analytical result of the critical thickness is consistent with that obtained by numerical simulation using the user-defined program based on FLAC 3D , demonstrating the rationality and feasibility of the proposed method in this study.

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Section: Discussionmentioning

confidence: 99%

Using the Schwarz Alternating Method to Identify Critical Water‐Resistant Thickness between Tunnel and Concealed Cavity

Guo

Chen

Fan³

et al. 2018

Advances in Civil Engineering

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“…The method is to develop the obtained elastic solutions into viscoelastic analytical solutions by use of Laplace transformation and inverse transformation. Most viscoelastic work focuses on deep tunnels so far (Sulem et al, 1987;Dai et al, 2004;Nomikos et al, 2011;Fahimifar et al, 2010;Wang et al, 2017) and the viscoelastic analytical solutions of shallow tunnels have been rarely covered. Wang et al, (2018) obtained analytical solution of elastic and viscoelastic when the ground surface of shallow tunnel and the tunnel cross-section subject to the stress loads.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic analytical solution for shallow tunnel considering time-dependent displacement boundary

Shen

Kong

et al. 2020

JGS Special Publication

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A time-dependent unified displacement function is proposed to capture main deformation responses of the tunnel cross-section. When the expansion order n equals 2, this complete displacement mode is used as displacement boundary condition (DBC) of the tunnel cross-section. Complex variable method is adopted in order to obtain an elastic analytical solution. Considering the time effect of ground mechanical parameters and tunnel cross-section deformation, a viscoelastic analytical solution of ground displacement is obtained. By parametric analyses, time effects of settlement trough curve, ground displacement and the settlement at the center point of ground surface are analyzed.

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“…Although several studies have addressed the interaction between underground tunnels (Ghaboussi & Ranken, 1977, Jamshid & Randall, 1977Yamaguchi et al 1998;Addenbrooke & Potts, 2001;Gercek, 2005;Karakus et al 2007;Wang et al, 2007;Wang & li, 2008;Chakeri et al 2011;Wang et al, 2017), few have addressed the influence of the stope on the footwall drift in underground mines. Abdellaha et al (2011) examined the interaction between the haulage drift and mine stope in a sublevel-stoping mine.…”

Section: Introductionmentioning

confidence: 99%

Determination of Distance Required to Ensure Stope and Footwall-drift Non-interaction Zone based on Geological Strength Index

Ozdogan

Gönen

2019

Earth sci. res. j.

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In the Bakibaba Copper Mine, the longhole stoping method is used in the production of copper ore. Stability problems have occurred at times on the footwall drift due to the interaction between the footwall drift and stope. In this study, we propose a method for estimating the minimum distance necessary to ensure a non-interaction zone between the footwall drift and stope. We used the finite element method and various distances between the footwall drift and stope and the displacements over drifts as parameters. We also performed analyses on various geological strength index values from low to high to determine the effect of the rock mass on the interaction between the footwall drift and stope

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Analytical solutions of stresses and displacements for deeply buried twin tunnels in viscoelastic rock

Cited by 63 publications

References 35 publications

Using the Schwarz Alternating Method to Identify Critical Water‐Resistant Thickness between Tunnel and Concealed Cavity

Using the Schwarz Alternating Method to Identify Critical Water‐Resistant Thickness between Tunnel and Concealed Cavity

Viscoelastic analytical solution for shallow tunnel considering time-dependent displacement boundary

Determination of Distance Required to Ensure Stope and Footwall-drift Non-interaction Zone based on Geological Strength Index

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