Scattering of SH waves by lined tunnel in inhomogeneous right-angle space with variable shear modulus

Based on the theory of complex function, the seismic response of tunnel structure in inhomogeneous elastic right-angle space under different stiffness is solved. The inhomogeneous form of shear modulus is used to reflect the variation regular of stiffness. The governing equations are obtained by means of displacement auxiliary function and mapping function. At the same time, the calculation model is established by means of the image method, and the series solution of the wave field is constructed and mainly analyses the distribution of displacement amplitude on the surface and dynamic stress concentration factor on the lining.