Abstract:By adopting reflectivity method,we derive full-wave synthetic seismograms in any anisotropic viscoelastic layered-media from the elastodynamic equations in usual anisotropic media.Eigensolutions of system matrix are computed in three dimensions,and the wave propagation deviating from sagittal plane is considered also.Temporal wraparound is avoided by using complex frequencies,and spatial abasing by taking Filon's method to estimate 2 wavenumber integrals.In addition,we describe the methods for obtaining synthetic seismograms in anisotropic media:EDA and the composite of EDA and PTL.Shear wave splitting and the amplitude characters are analysed reasonably.Energy focusing in elastic anisotropic medium changes the energy distributions of incident and reflected wavefronts to distort AVO characteristics.Body wave radianon patterns in transversely isotropic media are analysed numerically and analytically.The Approximate formulae are given which can be used to easy estimate the influence of radiation pattern distortion upon AVO.