Anti-plane deformations around arbitrary-shaped canyons on a wedge-shape half-space:moment method so

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