Dynamic Response of circular tunnelunder Elastic medium

Abstract

Based on Biot's wave equation, dynamic response of a circular tunnel with partially sealed in elastic saturated soil is investigated. By introducing two scalar potential functions Φ1&Φ2, the analytical solutions of stresses, displacements and pore pressure induced by axisymmetric gradually applied step load are derived in Laplace transform domain. Numerical results can be obtained by inverting Laplace transform presented by Durbin and used to analyze the influences of partial permeable property of boundary on stresses, displacements and pore pressure is remarkable. The graph will be plotted between radius ratio and displacement after doing full analysis. © 2017 Elsevier Ltd.