Abstract
On the basis of the Biot dynamic theory, an analytic solution of three-dimensional scattering and diffraction by hemispherical canyon “ in a fluid saturated porous media half space under plane P-waves incidence is presented. The Fourier-Bessel series expansion technique is used to get the analytic solution for the first time. The results of surface displacement amplitudes are presented, and the effects of frequency and angle of incident waves on the surface displacement amplitudes are discussed. These results are compared with those from the same situation but with an elastic one-phase media and two-dimensional circular cylindrical canyons in two-phase media, respectively.
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