Influence of confining pressure-dependent Young’s modulus on the convergence of underground excavation
•The relationship between Young's modulus and confining pressure was described as a non-linear function according the test results.•Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and n...
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| Published in: | Tunnelling and underground space technology Vol. 83; pp. 135 - 144 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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01-01-2019
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| Abstract | •The relationship between Young's modulus and confining pressure was described as a non-linear function according the test results.•Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods.•Tawara saka Tunnel in Japan was taken as an example to illustrate the influence of confining pressure-dependent Young’s modulus.
The actual convergence of an excavation located in fractured rock mass or the soft rock is largely different with the theoretical result in many cases. Experimental results showed that the influence of confining pressure on Young's modulus is very significant. This paper attempted to illustrate the influence of the confining pressure-dependent Young’s modulus in the ground reaction analyses of mountain tunnel. Firstly, the relationship between Young's modulus and confining pressure was described as a non-linear function according to the test results. Based on the plane strain axial symmetry assumption and the incremental theory of plasticity, equilibrium equations and compatibility equations of rock mass around a circular tunnel were deduced theoretically. Based on fourth Runge-Kutta method, a semi-analytical solution was achieved. Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods. The influence of confining pressure-dependent Young’s modulus in surrounding rock was estimated quantitatively. Finally, Tawara saka Tunnel in Japan was taken as an example to explain the influence of confining pressure-dependent Young’s modulus. The results showed that the error with respect to the monitoring data was largely reduced with the confining pressure-dependent Young’s modulus model, which indicated the necessity of considering the non-uniform distribution of Young’s modulus. |
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| AbstractList | The actual convergence of an excavation located in fractured rock mass or the soft rock is largely different with the theoretical result in many cases. Experimental results showed that the influence of confining pressure on Young's modulus is very significant. This paper attempted to illustrate the influence of the confining pressure-dependent Young’s modulus in the ground reaction analyses of mountain tunnel. Firstly, the relationship between Young's modulus and confining pressure was described as a non-linear function according to the test results. Based on the plane strain axial symmetry assumption and the incremental theory of plasticity, equilibrium equations and compatibility equations of rock mass around a circular tunnel were deduced theoretically. Based on fourth Runge-Kutta method, a semi-analytical solution was achieved. Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods. The influence of confining pressure-dependent Young’s modulus in surrounding rock was estimated quantitatively. Finally, Tawara saka Tunnel in Japan was taken as an example to explain the influence of confining pressure-dependent Young’s modulus. The results showed that the error with respect to the monitoring data was largely reduced with the confining pressure-dependent Young’s modulus model, which indicated the necessity of considering the non-uniform distribution of Young’s modulus. •The relationship between Young's modulus and confining pressure was described as a non-linear function according the test results.•Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods.•Tawara saka Tunnel in Japan was taken as an example to illustrate the influence of confining pressure-dependent Young’s modulus. The actual convergence of an excavation located in fractured rock mass or the soft rock is largely different with the theoretical result in many cases. Experimental results showed that the influence of confining pressure on Young's modulus is very significant. This paper attempted to illustrate the influence of the confining pressure-dependent Young’s modulus in the ground reaction analyses of mountain tunnel. Firstly, the relationship between Young's modulus and confining pressure was described as a non-linear function according to the test results. Based on the plane strain axial symmetry assumption and the incremental theory of plasticity, equilibrium equations and compatibility equations of rock mass around a circular tunnel were deduced theoretically. Based on fourth Runge-Kutta method, a semi-analytical solution was achieved. Considering the effect of confining pressure on Young's modulus, the stress and deformation of rock mass around tunnel was calculated by both analytical and numerical methods. The influence of confining pressure-dependent Young’s modulus in surrounding rock was estimated quantitatively. Finally, Tawara saka Tunnel in Japan was taken as an example to explain the influence of confining pressure-dependent Young’s modulus. The results showed that the error with respect to the monitoring data was largely reduced with the confining pressure-dependent Young’s modulus model, which indicated the necessity of considering the non-uniform distribution of Young’s modulus. |
| Author | Wu, Xuezhen Guan, Zhenchang Jiang, Yujing Gong, Bin |
| Author_xml | – sequence: 1 givenname: Xuezhen surname: Wu fullname: Wu, Xuezhen organization: College of Civil Engineering, Fuzhou University, Fuzhou 350108, China – sequence: 2 givenname: Yujing surname: Jiang fullname: Jiang, Yujing email: jiang@nagasaki-u.ac.jp organization: College of Civil Engineering, Fuzhou University, Fuzhou 350108, China – sequence: 3 givenname: Zhenchang surname: Guan fullname: Guan, Zhenchang organization: College of Civil Engineering, Fuzhou University, Fuzhou 350108, China – sequence: 4 givenname: Bin surname: Gong fullname: Gong, Bin organization: Graduate School of Engineering, Nagasaki University, Nagasaki 852-8521, Japan |
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| Keywords | Young’s modulus Confining pressure Semi-analytical solution Numerical simulation Underground excavation |
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| Snippet | •The relationship between Young's modulus and confining pressure was described as a non-linear function according the test results.•Considering the effect of... The actual convergence of an excavation located in fractured rock mass or the soft rock is largely different with the theoretical result in many cases.... |
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| SubjectTerms | Confining Confining pressure Convergence Deformation effects Deformation mechanisms Equilibrium equations Excavation Linear functions Mathematical models Modulus of elasticity Mountain tunnels Numerical methods Numerical simulation Plane strain Pressure dependence Pressure effects Rock masses Rocks Runge-Kutta method Semi-analytical solution Simulation Tunnels Underground construction Underground excavation Young’s modulus |
| Title | Influence of confining pressure-dependent Young’s modulus on the convergence of underground excavation |
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