Abstract: In this paper, the interactions of multiple semicylindrical canyons by SH-waves in anisotropic media are studied by using multipolar coordinate and complex function method. The effects of the geological conditions can be simulated by anisotropic media. The so-called scattering wave function of the neighborhood of the multiple semi-cylindrical canyo ns in anisotropic media is given. Using the movign coordinate system, the boundary conditions of the given multiple semi-cylindrical canyons are satisfied step b...