Dynamic response of a non-circular lined tunnel with visco-elastic imperfect interface in the saturated poroelastic medium

Abstract

A semi-analytical method is proposed to investigate the dynamic response of a non-circular tunnel with visco-elastic imperfect interface in poroelastic medium. Biot’s dynamic theory is used to simulate the saturated poroelastic medium, and the governing equations are solved by reducing them into three Helmholtz equations that the potential functions satisfy. The visco-elastic interface model with elastic and viscosity coefficients is adopted to analyze the interface effect around the non-circular lined tunnel. The analytic solutions of displacements and stresses are expanded in terms of wave functions. Some numerical examples are provided to analyze the effect of visco-elastic interface on the dynamic stress around the tunnel.