Effects of two-dimensional topographies using the discrete wavenumber-boundary integral equation method in P–S V cases

The effect of topography on surface motion is studied in the case of incident P and SV waves and in presence of an explosive source. The discrete wavenumber-boundary integral equation method is formulated for this case and is applied to the problem of diffraction of an elastic wave field by a ridge-shaped topography. The amplitude of the scattered field, which mostly consists of surface P waves and Rayleigh waves, is strongly dependent on the steepness of the topography. The generation of surface waves by an explosion located in the vicinity of the ridge topography is studied and an increase in Rayleigh wave amplitude and a broadening of the Rayleigh pulse when the explosion occurs within the ridge is found.