Scattering of plane sh-waves on semi-canyon topography of arbitrary shape with linging in anisotropic media

The purpose of this paper is to use the conforma mapping method to analyze and evaluate the grown displacement and scattering of incident SH-\raves. on the surface of semi-canyon'topography of arbitrary shape with lining in anisotropic media. The problem to he solved can be reduced to the solution of an infinite algebraic equation set by using the method of full-space expansion of Fourier progression. Using the mapping function and scattering theory to solve problems due to semi-canyon topography with lining is just like mapping the semi-cylindrical canyon of arbitrary shape into a cylindrical canyon in full-space. Moreover, it is far practical in engineering practice. From the computational examples, it is obvious that the variation of displacement amplitudes on the surface near the lining and the canyon topography is rather sharp, especially when the /regencies of incident SH-waves increase.