Analytical solution for an arbitrary-shaped tunnel with full-slip contact lining in anisotropic rock mass

Wang, Shaojie; Lu, Ai Zhong; Tao, Junye; Zeng, Xiangtai; Yin, Chonglin

doi:10.1016/j.ijrmms.2020.104276

Cited by 11 publications

(4 citation statements)

References 21 publications

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“…Solving this problem by the complex variable function method can be roughly divided into two categories. The first category is solving double-cavern or multi-cavern problems, and the other category is solving the problems of “one inside another” 31 − 33 Therefore, this paper intends to use the existing grouting diffusion formula to establish the characterization formula of the strength of fractured surrounding rock after grouting reinforcement in the ideal state. 14 − 25 Based on the “one inside another” solution of the complex variable function theory, we derived the analytical formulas of the stress and displacement of the fractured surrounding rock after grouting reinforcement and verified the reliability of the solution by a numerical method.…”

Section: Introductionmentioning

confidence: 99%

“…As one of the most effective methods for solving plane problems in surrounding rock mechanics, complex variable functions have been favored by many scholars and experts, and many achievements have been made for the problem of a multiconnected domain. − The problem analyzed in this paper is the problem of a multiconnected domain. Solving this problem by the complex variable function method can be roughly divided into two categories.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution of the Grouting Reinforcement Response of a Circular Cavern in Deeply Buried Fractured Surrounding Rock under a Nonuniform Stress Field

Liu

Lyu

et al. 2022

ACS Omega

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Grouting is widely utilized to reinforce fractured surrounding rock. However, presently, the secondary stress distribution of fractured surrounding rock after grouting is not distinct, which hinders the accurate evaluation of the grouting effect. Therefore, a complex variable function solution is provided for the evolution of the stress field and the displacement field around the reinforced fractured surrounding rock subjected to a nonuniform load. By comparing the evolution of the stress and radial displacement fields around the cavern, the reinforcement effect on the fractured surrounding rock is quantitatively confirmed. The results show that grouting has an obvious modification effect on fractured surrounding rock: its radial stress and circumferential stress fields are affected to different degrees, and the circumferential stress is more obvious. Grouting makes the circumferential stress peak transfer from the wall of the cavern to the roof and floor of the cavern, which is beneficial to the stability of the cavern. The radial displacement around the cavern also decreases. The displacement of the wall decreases by approximately 24.0%, and the radial displacement of the roof and floor decreases by approximately 61.8%.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Solution of the Grouting Reinforcement Response of a Circular Cavern in Deeply Buried Fractured Surrounding Rock under a Nonuniform Stress Field

Liu

Lyu

et al. 2022

ACS Omega

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“…If Smax(0) and Smax(z0) are known, Lu et al (2020) found that Smax(z) can be expressed as (6) where ξ is a parameter reflecting the effects of the ground condition and the tunnel geometric factor. Based on the data from many field projects and model tests (Marshall, 2009 corresponding to these cases are showed in Fig.…”

Section: Maximum Ground Settlementmentioning

confidence: 99%

A prediction method of ground volume loss variation with depth induced by tunnel excavation

Lin

Tian

et al. 2021

Acta Geotech.

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A new concept called the transmission ratio of ground volume loss (TRGVL) is proposed to describe the variation law of ground volume loss with depth above the tunnel. Based on the developed Gaussian function, the formula for TRGVL is deduced. Further, the first-order derivative of TRGVL is presented to evaluate the dilation and compression degree of the soil at any depth above the tunnel.A total of 15 cases, involving 8 field project cases and 7 model test cases, are investigated to validate rationality of the proposed formula.The results of field projects and model test cases indicate variation of TRGVL presents four forms. By analysing the volumetric deformation of the soil above the tunnel, formation mechanism of the each form of TRGVL is revealed. Finally, the evolution of the four forms of TRGVL is used to evaluate the disturbance degree of the soil above the tunnel.

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“…Kargar et al provided a semianalytical elastic plane-strain solution for stress field around a lined noncircular tunnel at great depth subjected to uniform ground load [34]. e analytical solution for an arbitrarily shaped tunnel excavated in anisotropic rock mass supported by an isotropic lining was presented by Wang et al [35].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions for the Mechanical Responses of Shallow Double‐Arched Tunnel Subjected to Symmetric Loads

Yang

Dai²,

Ai³

et al. 2021

Advances in Civil Engineering

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Double-arched tunnel is a special kind of tunnel structure which is widely adopted for shallow rock tunnels. The internal forces within a double-arched tunnel are difficult to be determined due to its special geometry and complex interactions with surrounding rock masses. This paper presents a set of analytical solutions for determining the internal forces within the lining structure of shallow double-arched tunnel subjected to symmetric external loads. The double-arched tunnel is decomposed into three main parts, i.e., the arch rings, the side walls, and the middle wall. The force method and the elastic foundation beam model are employed for the arch rings and the side walls, respectively, while the middle wall is treated as a cantilever beam fixed at the bottom. Analytical solutions for the internal forces of the three parts are derived separately, which are continuous at the conjunctions of different parts. The derived analytical solutions are verified by comparing with the FEM simulation results. Finally, parametric studies are performed to investigate the influences of burial depth, elastic resistance coefficient, opening angle, and tunnel span on the internal forces based on which some recommendations are provided for the construction and design of the double-arched tunnels. The derived analytical solutions provide fast estimations for the internal forces and deformation of the double-arched lining structures, which will be a useful tool for design optimization.

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Analytical solution for an arbitrary-shaped tunnel with full-slip contact lining in anisotropic rock mass

Cited by 11 publications

References 21 publications

Analytical Solution of the Grouting Reinforcement Response of a Circular Cavern in Deeply Buried Fractured Surrounding Rock under a Nonuniform Stress Field

Analytical Solution of the Grouting Reinforcement Response of a Circular Cavern in Deeply Buried Fractured Surrounding Rock under a Nonuniform Stress Field

A prediction method of ground volume loss variation with depth induced by tunnel excavation

Analytical Solutions for the Mechanical Responses of Shallow Double‐Arched Tunnel Subjected to Symmetric Loads

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