College of Geo-exploration Science and Technology, Jilin University, Changchun 130026, China

Based on the calculation theory of spectral element method, the authors used the coordinate rotation algorithm to calculate seismic wave field of arbitrary anisotropic viscoelastic medium to understand the characteristics of seismic wave field in complex media. The results of calculation indicate that qSV wave is a shear anelastic deformation and qP wave is expansion of anelastic deformation. Moreover, the quality factor not only affects the amplitude of seismic wave, but also the frequency of propagation. The viscoelastic medium absorbs high-frequency quickly and there is no frequency dispersion in certain frequency range.