Scattering and attenuation of an elastic wave by a viscoelastic cylinder. II. SV-wave incidence

Abstract

The scattering and attenuation of a shear wave by a circular, elastic cylinder with and without intrinsic attenuation are investigated. The analytical solutions for scattered and internal fields caused by a normally incident plane SV wave are derived. Resonance scattering, radiation pattern, scattering cross section, and synthetic seismogram are calculated. The calculated synthetic seismograms show that the creeping (diffraction) waves include the shear creeping wave S1Ŝ1S1 and exciting (or converting) compressional creeping wave S1P̂1P1. The creeping waves propagate on the surface outside the media and depend mainly on the outside media, and are little affected by the cylinder−absorbing property. The total fields are the superposition of the geometrically transmitted waves (S1P2P1, S1S2P1, and S1S2S1) which go through the cylinder and creeping waves (S1Ŝ1S1 and S1P̑1P1) which propagate on the elastic side of the elastic–cylinder interface. The first arrivals within the shadow zone are a diffraction wave S1P̑1P1 for a low-velocity inclusion and a transmitted wave S1P2P1 for a high-velocity inclusion. [Work supported by NSF of China.]