Abstract：Rock has such properties as anisotropy, viscoelasticity and two-phase. To understand the propagation characteristics of seismic waves in complex media and interpret raw seismic data, it is of great practical significance to establish a more accurate model and study the propagation theory of seismic waves in subsurface media. This paper derives the first-order velocity-stress equation of two-phase viscoelastic VTI media and performs forward modeling based on a viscoelastic GSLS model. Compared with single-phase elastic isotropic media, seismic waves propagating in two-phase viscoelastic VTI media are more significantly atte-nuated and the wave fronts become elliptical, and slow qP waves appears. Analysis of two-way seismic wave illumination of two-dimensional two-phase viscoelastic VTI media shows that the viscoelasticity of the media attenuates seismic wave energy, the anisotropy of the media causes seismic velocity to vary with direction, and the slow qP wave caused by the two phases of the medium complicates the energy distribution of seismic waves. According to the illumination result, the observation system was optimized.
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