Analytical Solution and Influencing Factors of Dynamic Response of Deep-buried Diversion Tunnel with Circular Composite Lining under Transient Disturbance by P-wave

Analytical Solution and Influencing Factors of Dynamic Response of Deep-buried Diversion Tunnel with Circular Composite Lining under Transient Disturbance by P-wave

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Mei LI^1a^,^1b^,^1c, Yu-jia LU^1a, Wan-quan MEI², Gao-sheng HAN^1d^,³, Guang-hai CHEN⁴, Ming-sheng ZHAO⁵^,⁶, Chang-jun KE^1a, Gao-feng REN^1a^,^1b^,^1c

Blasting | 2025, 42(2) : 22 - 30

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Blasting | 2025, 42(2): 22-30

• THEORETICAL AND TECHNOLOGICAL EXPLORATION •

Analytical Solution and Influencing Factors of Dynamic Response of Deep-buried Diversion Tunnel with Circular Composite Lining under Transient Disturbance by P-wave

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Mei LI^1a^,^1b^,^1c, Yu-jia LU^1a, Wan-quan MEI², Gao-sheng HAN^1d^,³, Guang-hai CHEN⁴, Ming-sheng ZHAO⁵^,⁶, Chang-jun KE^1a, Gao-feng REN^1a^,^1b^,^1c

Affiliations

^1.a.School of Resources and Environmental Engineering, Wuhan University of Technology, Wuhan 430070, China

^1.b.Ministry of Education Key Laboratory of KeyNon-metallic Mineral Resources Green Utilization, Wuhan University of Technology, Wuhan 430070, China

^1.c.Hubei Key Laboratory of Mineral Resources Processing and Environment, Wuhan University of Technology, Wuhan 430070, China

^1.d.School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China

^2.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

^3.China Railway Siyuan Survey and Design Group Co., Ltd., Wuhan 430068, China

^4.China railway Shanghai Engineering Bureau Group Fourth Engineering Co., Ltd., Tianjin 300000, China

^5.Key Laboratory of Safety Intelligent Mining in Non-coal Open-pit Mines, National Mine Safety Administration, Guangzhou 510623, China

^6.Hongda Blasting Engineering Group Co., Ltd., Guangzhou 510623, China

Published: 2025-06-01 doi: 10.3963/j.issn.1001-487X.2025.02.003

Outline

Abstract

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Blasting excavation generates transient P-waves that significantly impact tunnel stability. For water-filled diversion tunnels, the dynamic response of the surrounding rock differs from conventional dry tunnels. Most existing analytical studies focus on the steady-state solution and single-lined tunnels, rarely accounting for composite linings or the presence of water. This paper investigates the transient stability response of deep-buried circular composite lining diversion tunnels under transient P-wave disturbances. The fluid within the tunnel is treated as a distinct medium, and the tunnel-lining interface is considered a non-ideal contact surface. By applying Fourier synthesis, wave function expansion, and trapezoidal quadrature formula, an analytical solution is derived. Validation through comparison with existing literature demonstrates the method's effectiveness. The study analyzes the effects of Poisson's ratio of surrounding rock, the non-ideal interface's elastic coefficient, and the disturbance's loading duration on the dynamic stress concentration coefficient. Results indicate that the compressive stress concentrations occur at the roof and floor, while tensile counterpart concentrations appear at the two sidewalls during dynamic disturbance. As Poisson's ratio increases, there is a transition from tensile to compressive stress concentration, with a gradual degree in compressive stress intensity. Poor contact between the rock mass and liner induces oscillations in the stress time-history curve. The dynamic response converges accordingly as the elastic coefficients of an imperfect interface approach those of a perfect interface. With increasing blasting load duration, peak dynamic stress around the roof and floor initially rises, then stabilizes, while stress at the sidewalls initially decreases before leveling off.

Key words

P-wave disturbance / diversion tunnel with composite lining / transient response / Fourier synthesis technique / wave function expansion method

Cite this Article

Mei LI, Yu-jia LU, Wan-quan MEI, Gao-sheng HAN, Guang-hai CHEN, Ming-sheng ZHAO, Chang-jun KE, Gao-feng REN. Analytical Solution and Influencing Factors of Dynamic Response of Deep-buried Diversion Tunnel with Circular Composite Lining under Transient Disturbance by P-wave[J]. Blasting, 2025 , 42 (2) : 22 -30 . DOI: 10.3963/j.issn.1001-487X.2025.02.003

Funding

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Hubei Provincial Technological Innovation Special Major Project(2022BEC040)
Research and Development of Key Technologies for Carbon Emission Accounting for Optimal Mining of Close-range Multilayer Phosphate Rock
National Natural Science Founda-tion of China(52064003)

Appendix

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Year 2025 volume 42 Issue 2

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133

Cite this Article

BibTeX

Article Info

doi: 10.3963/j.issn.1001-487X.2025.02.003

Receive Date：2024-07-19
Online Date：2026-03-19
Published：2025-06-01

Article Data

Affiliations

History

Received：2024-07-19

Funding

Hubei Provincial Technological Innovation Special Major Project(2022BEC040)

Research and Development of Key Technologies for Carbon Emission Accounting for Optimal Mining of Close-range Multilayer Phosphate Rock

National Natural Science Founda-tion of China(52064003)

Affiliations