Sh Wave Propagation In Laterally Heterogeneous Medium

Abstract. The present work reports some of the recent investigations in the field of Investigations of our group in wave propagation in laterally heterogeneous media. Such studies have practical applications in developing building code in earth prone area or in wave-guide problem. We present a new analytical approach to the title problem. This is an improved version of our earlier work with M. Mitra and R.K. Bhattacharya¹.

We consider the SH wave propagation through two different elastic media in vertical contact with each other while the medium on the right or left is horizontally layered. One can assume the contact surface to be inclined to each other. Unlike the usual approach of finding the approximate form of the reflection transmission coefficient by the use of the representation theorem, we use the exact solution of the wave equation in each medium. Various boundary conditions at the horizontal and vertical/inclined contact surface are satisfied exactly. Boundary conditions give rise to a set of coupled integral equation connecting the unknown constants of the solution. The source may be a line source or simply a plane incident wave. Iterative solutions of the integral equations provide various wave arrivals which include the scattered waves unlike previous works. Exact computations of various wave arrivals may help in developing accurate building codes in earthquake prone area.