Analysis of the Influence Factors on the Dynamic Response of a Lined Tunnel Embedded in an Inhomogeneous Half-Space Subjected to SH Waves

Abstract

In this paper, the influence factors on the dynamic response of a lined tunnel embedded in an inhomogeneous half-space under incident SH waves are investigated. An analytical solution for the scattering of plane SH waves by a lined tunnel embedded in an inhomogeneous half-space is derived through the complex function method and the conformal mapping technique. The analysis focuses on the treatment of straight and circular boundaries by proper coordinate transformation converting the physical plane to the corresponding image plane. The unknown coefficients for the scattered wave functions are calculated by solving a series of infinite algebraic equations. Then, the influence factors on the dynamic response of a lined tunnel in an inhomogeneous half-space are investigated through the calculation example.