Scattering of SH waves by a semi-cylindrical canyon in a radially inhomogeneous media

Based on the complex function method and the conformal mappingtechnique, the scattering of SH waves caused by a semi-cylindricalcanyon in a radially inhomogeneous density half-space is stud-ied analytically. During the solution, model of a semi-cylindricalcanyon is established in a semi-infinite inhomogeneous media. Andthe Helmholtz equation with a variable coefficient is transformedinto a standard Helmholtz equation by conformal mapping tech-nique. Then the infinite algebraic equations are constructed to satisfythe stress boundary conditions on the surface of semi-cylindricalcanyon. Finally, the incident waves, reflected waves and scatter-ing waves induced by canyon topography in half space are solved.According to the numerical results, influences of the concave topog-raphy and the inhomogeneous medium on ground motion areanalyzed