Dynamic Response of Lined Tunnel in Inhomogeneous Half Space with Variable Rigidity Under SH Waves

This work investigates the scattering of antiplane shear waves by tunnel in inhomogeneous half-space. The inhomogeneity of the medium is reflected in that the shear modulus is a two-dimensional function. Based on the complex function method, the analytical expressions of wave fields are obtained. The unknown coefficients can be obtained by boundary conditions. In the numerical example, the displacement amplitude of the horizontal surface and the dynamic response of lining structure are discussed. The results show that the inhomogeneous parameters, the reference wave numbers and the positions have obvious effects on the displacement amplitude and the dynamic response.