Scattering of Plane SV Waves by Circular‐Arc Alluvial Valleys with Saturated Soil Deposits

Abstract

AbstractOn the basis of Biot dynamic theory for saturated porous media, an analytic solution of twodimensional scattering and diffraction of plane SV waves by circular‐arc alluvial valleys with saturated soil deposits is presented using the Fourier‐Bessel series expansion technique with the deposits simulated by Biot dynamic theory for saturated porous media, and the half space assumed to be elastic single‐phase media. For incidence beyond critical angle, the surface waves generated are expanded in terms of finite Fourier series. The method is applicable to the case of a wide range of frequencies, and thus makes it preferable to the presently available numerical methods. The surface displacement amplitudes presented by numerical results show that the results depend on the angle of incidence, the dimensionless frequency of the incident SV wave.