Abstract
The wave propagation behavior in an elastic wedge-shaped medium with an arbitrary shaped cylindrical canyon at its vertex has been studied. Numerical computation of the wave displacement field is carried out on and near the canyon surfaces using weighted-residuals (moment method). The wave displacement fields are computed by the residual method for the cases of elliptic, circular, rounded-rectangular and flat-elliptic canyons. The analysis demonstrates that the resulting surface displacement depends, as in similar previous analyses, on several factors including, but not limited, to the angle of the wedge, the geometry of the vertex, the frequencies of the incident waves, the angles of incidence, and the material properties of the media. The analysis provides intriguing results that help to explain geophysical observations regarding the amplification of seismic energy as a function of site conditions.
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