Anelastic dispersion and attenuation of P- and SV-wave scattering by aligned nonisothermal inclusions of finite thickness

Abstract

We have investigated the anelastic dispersion and attenuation of P- and SV-wave scattering by nonisothermal inclusions of finite thickness. The inclusions, which are aligned and sparsely embedded in an isotropic medium, induce an initial static stress field (acoustoelasticity) and a nonlinear dependence of the velocities on this stress. Moreover, we describe the anelastic properties as a function of frequency by incorporating the displacement discontinuities across the inclusion into the representation theorem by using the Foldy approximation. The response as a function of temperature is calculated for different incidence angles (anisotropy), and the results find that anelasticity increases with an increasing temperature difference between the inclusions and the background medium. The SV wave in the solid inclusions indicates a stronger sensitivity along the inclusion normal, and it is more affected than the P wave. The P- and SV-wave scattering by fluid-saturated inclusions behave in an opposite manner. This theory can be useful to evaluate the distribution of temperature from seismic attributes.