SCATTERING OF PLANE SH-WAVES ON SEMI-CANYON TOPOGRAPHY OF ARBITRARY SHAPE WITH LINING IN ANISOTROPIC MEDIA

The purpose of this paper is to use the conforma mapping method([1]) t o analyze and evaluate the ground displacement and scattering of incid ent SH-waves, on the surface of semi-canyon topography of arbitrary wi th lining in anisotropic media. The problem to be solved can be reduce d to the solution of an infinite algebraic equation set by using the m ethod of full-space expansion of Fourier progression. Using the mappin g function and scattering theory to solve problems due to semi-canyon topography with lining is just like mapping the semi-cylindrical canyo n 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 sha rp, especially when the frequencies of incident SH-waves increase.