An analysis of 3D anisotropic-viscoelastic forward modeling and dissipation

The anisotropic-viscoelastic wave equation is a generalized expression of a transversely isotropic-viscoelastic medium. The viscoelastic horizontal-tranverse isotropic (HTI) medium is a special case. Considering the horizontal symmetry axis of viscoelastic HTI media, we develop elasticities and wave equations for preserving its transverse isotropy. To model anisotropic-viscoelastic wave propagation, we apply the fourth-order Runge-Kutta and Fourier pseudospectral method to discretize the wave equation. The convolutional perfectly matched layer (CPML) absorbed boundary condition is applied to the 3D modeling algorithm and the result shows that it absorbs reflected energy efficiently. We present three models to investigate anisotropic-viscoelastic waves. Two half-space models demonstrate the azimuthal attenuation, which appears both on the PP and PSv wave. The quality factor is greater along the fracture direction for both the PP and PSv waves. Analysis shows that frequency-dependent amplitude attenuation behaves differently along the fracture azimuth. This demonstates that we can use this property for reservoir detection.