Use of Assembled Functions Theory for Computing Dynamic Response of a Tunnel

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P. Beiranvand; A. Bayat; Ashrafi H. R.; OMIDINASAB F.; GOHARI M.

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Paper Information

Journal: TUNNELING & UNDERGROUND SPACE ENGINEERING Year:2018 | Volume:7 | Issue:1 Page(s): 83-95

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Title

Use of Assembled Functions Theory for Computing Dynamic Response of a Tunnel

Author(s)

Keywords

Analytical Solution

Complex Functions

Porous Media

Wave Scattering

Abstract

An Analytical Solution for the evaluation of dynamic response of a tunnel in infinite isotropic elastic Porous Media is presented. Tunnel is considered as a circular cavity. Two groups of Complex Functions for solid skeleton and pore fluid in a two-dimensional (2D) complex plane are introduced in order to solve the Biot equations. Stress, displacement and pore pressure fields induced by incident and scattered waves in the medium and especially in the vicinity of the cavity are evaluated in this complex plane. The validation of the proposed solution is shown by various numerical examples. A parametric study including the effects of fluid compressibility changes, shear modulus and permeability variations, several wave numbers and wave types (fast, slow and shear waves) is performed.

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APA: Copy

P., Beiranvand, A., Bayat, Ashrafi, H. R., OMIDINASAB, F., & GOHARI, M.. (2018). Use of Assembled Functions Theory for Computing Dynamic Response of a Tunnel. TUNNELING & UNDERGROUND SPACE ENGINEERING, 7(1 ), 83-95. SID. https://sid.ir/paper/732183/en

Vancouver: Copy

P. Beiranvand, A. Bayat, Ashrafi H. R., OMIDINASAB F., GOHARI M.. Use of Assembled Functions Theory for Computing Dynamic Response of a Tunnel. TUNNELING & UNDERGROUND SPACE ENGINEERING[Internet]. 2018;7(1 ):83-95. Available from: https://sid.ir/paper/732183/en

IEEE: Copy

Beiranvand P., Bayat A., H. R. Ashrafi, F. OMIDINASAB, and M. GOHARI, “Use of Assembled Functions Theory for Computing Dynamic Response of a Tunnel,” TUNNELING & UNDERGROUND SPACE ENGINEERING, vol. 7, no. 1 , pp. 83–95, 2018, [Online]. Available: https://sid.ir/paper/732183/en

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