The influence of pore-fluid in the soil on ground vibrations from a tunnel embedded in a layered half-space
A computationally efficient semi-analytical solution for ground-borne vibrations from underground railways is proposed and used to investigate the influence of hydraulic boundary conditions at the scattering surfaces and the moving ground water table on ground vibrations. The arrangement of a dry so...
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Published in | Journal of sound and vibration Vol. 419; pp. 227 - 248 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier Ltd
14.04.2018
Elsevier Science Ltd |
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Abstract | A computationally efficient semi-analytical solution for ground-borne vibrations from underground railways is proposed and used to investigate the influence of hydraulic boundary conditions at the scattering surfaces and the moving ground water table on ground vibrations. The arrangement of a dry soil layer with varying thickness resting on a saturated poroelastic half-space, which includes a circular tunnel subject to a harmonic load at the tunnel invert, creates the scenario of a moving water table for research purposes in this paper. The tunnel is modelled as a hollow cylinder, which is made of viscoelastic material and buried in the half-space below the ground water table. The wave field in the dry soil layer consists of up-going and down-going waves while the wave field in the tunnel wall consists of outgoing and regular cylindrical waves. The complete solution for the saturated half-space with a cylindrical hole is composed of down-going plane waves and outgoing cylindrical waves. By adopting traction-free boundary conditions on the ground surface and continuity conditions at the interfaces of the two soil layers and of the tunnel and the surrounding soil, a set of algebraic equations can be obtained and solved in the transformed domain. Numerical results show that the moving ground water table can cause an uncertainty of up to 20 dB for surface vibrations.
•A semi-analytical solution for a tunnel embedded in a layered half-space is proposed.•The influence of hydraulic boundaries and the water table variation is investigated.•The moving water table can cause an uncertainty of 20 dB for surface vibrations. |
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AbstractList | A computationally efficient semi-analytical solution for ground-borne vibrations from underground railways is proposed and used to investigate the influence of hydraulic boundary conditions at the scattering surfaces and the moving ground water table on ground vibrations. The arrangement of a dry soil layer with varying thickness resting on a saturated poroelastic half-space, which includes a circular tunnel subject to a harmonic load at the tunnel invert, creates the scenario of a moving water table for research purposes in this paper. The tunnel is modelled as a hollow cylinder, which is made of viscoelastic material and buried in the half-space below the ground water table. The wave field in the dry soil layer consists of up-going and down-going waves while the wave field in the tunnel wall consists of outgoing and regular cylindrical waves. The complete solution for the saturated half-space with a cylindrical hole is composed of down-going plane waves and outgoing cylindrical waves. By adopting traction-free boundary conditions on the ground surface and continuity conditions at the interfaces of the two soil layers and of the tunnel and the surrounding soil, a set of algebraic equations can be obtained and solved in the transformed domain. Numerical results show that the moving ground water table can cause an uncertainty of up to 20 dB for surface vibrations. A computationally efficient semi-analytical solution for ground-borne vibrations from underground railways is proposed and used to investigate the influence of hydraulic boundary conditions at the scattering surfaces and the moving ground water table on ground vibrations. The arrangement of a dry soil layer with varying thickness resting on a saturated poroelastic half-space, which includes a circular tunnel subject to a harmonic load at the tunnel invert, creates the scenario of a moving water table for research purposes in this paper. The tunnel is modelled as a hollow cylinder, which is made of viscoelastic material and buried in the half-space below the ground water table. The wave field in the dry soil layer consists of up-going and down-going waves while the wave field in the tunnel wall consists of outgoing and regular cylindrical waves. The complete solution for the saturated half-space with a cylindrical hole is composed of down-going plane waves and outgoing cylindrical waves. By adopting traction-free boundary conditions on the ground surface and continuity conditions at the interfaces of the two soil layers and of the tunnel and the surrounding soil, a set of algebraic equations can be obtained and solved in the transformed domain. Numerical results show that the moving ground water table can cause an uncertainty of up to 20 dB for surface vibrations. •A semi-analytical solution for a tunnel embedded in a layered half-space is proposed.•The influence of hydraulic boundaries and the water table variation is investigated.•The moving water table can cause an uncertainty of 20 dB for surface vibrations. |
Author | Cai, Yuanqiang Boström, Anders Yuan, Zonghao Cao, Zhigang |
Author_xml | – sequence: 1 givenname: Zonghao surname: Yuan fullname: Yuan, Zonghao organization: College of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou, 310014, PR China – sequence: 2 givenname: Zhigang surname: Cao fullname: Cao, Zhigang email: caozhigang2011@zju.edu.cn organization: Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, 310058, PR China – sequence: 3 givenname: Anders surname: Boström fullname: Boström, Anders organization: Department of Mechanics and Maritime Sciences, Chalmers University of Technology, SE-412 96, Göteborg, Sweden – sequence: 4 givenname: Yuanqiang surname: Cai fullname: Cai, Yuanqiang organization: College of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou, 310014, PR China |
BackLink | https://research.chalmers.se/publication/500664$$DView record from Swedish Publication Index |
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Keywords | Semi-analytical solution Tunnel Surface vibrations Layered half-space Moving ground water table |
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SubjectTerms | Boundary conditions Cylinders Cylindrical waves Fluid-structure interaction Free boundaries Groundwater levels Half spaces Layered half-space Mathematical models Moving ground water table Numerical analysis Plane waves Semi-analytical solution Soil layers Subways Surface vibrations Surface waves Thickness Tunnel Tunnels Underground railways Vibration analysis Vibration effects Viscoelasticity Water tables |
Title | The influence of pore-fluid in the soil on ground vibrations from a tunnel embedded in a layered half-space |
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