NUMERICAL ANALYSIS OF THE PLANE SH WAVES SCATTERING BY SEMI-CYLINDRICAL ALLUVIAL VALLEY

A numerical method is presented for scattering and diffraction of plane SH waves. The wave input is realized through the free field wave motion obtained by transfer matrix method. The wave motions are calculated by the method of lumped-mass explicit finite element and local transmitting artificial boundary condition. The scattering and diffraction of plane SH waves by a semi-cylindrical alluvial valley is analyzed, which validates the proposed method through the comparison between the numerical results and the analytical solution obtained by Trifunac M D. In addition, a semi-cylindrical alluvial valley on layered half-space case is analyzed. The technique presented in this paper can be applied to the problem with complex geography.