Application of the weighted residual method to diffraction by 2-D canyons of arbitrary shape: II. Incident P, SV and Rayleigh waves

Abstract A solution for the two-dimensional scattering and diffraction of plane P and SV waves by canyons of arbitrary shape in an elastic half space is presented. Numerical computation of the wave field is carried out on and near the canyon surfaces using the method of weighted residues (moment method). The wave displacement fields computed by the residual method for the cases of shallow to semi-circular canyons were shown to agree with those from the analytic solutions. As in the SH wave case, the same observations about ground amplifications, their dependence on frequencies and orientation of the incident waves, can be stated for canyons of arbitrary shape as for those of regular shape.

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