Scattering of a plane wave by shallow buried cylindrical lining in a poroelastic half-space

Abstract

The shallow buried tunnel is frequently encountered in underground engineering. The dynamic response of a tunnel under incident wave is of great importance for guiding the safety design in tunnel engineering. In this paper, a model for predicting the dynamic response of a shallow buried tunnel in saturated soil is proposed based on nonlocal Biot theory. The analytical solution is obtained using the wave function expansion method. To consider practical engineering problem, a set of material parameters for saturated soil and tunnel lining are selected for the numerical analysis. The influence of nonlocal parameter, which is introduced in nonlocal Biot theory to consider the pore size effect and pore dynamic effect, on dynamic stress concentrate factor in the lining is investigated in detail. The dynamic responses affected by the other factors, such as incident wave angle, frequency of incident wave and buried depth of the tunnel, have also been implemented. The dynamic stress concentrate factor distributed in the lining is also shown and the position and orientation appearing maximum concentrate factor can be easily determined from the contour plot, which can provide a visual guideline for safety design of a tunnel.