Rayleigh wave scattering at the foot of a mountain (Q1819590)

A theoretical study of scattering of seismic waves at the foot of a mountain is discussed here. A mountain of an arbitrary shape and of width a (0\(\leq x\leq a\), \(z=0)\) in the surface of an elastic solid medium (z\(\geq 0)\) is hit by a Rayleigh wave. The method of solution is the Wiener and Hopf technique. The reflected, transmitted and scattered waves are obtained by inversion of Fourier transforms. The scattered waves behave as decaying cylindrical waves at distant points and have a large amplitude near the foot of the mountain. The transmitted wave decreases exponentially as its distance from the other end of the mountain increases.