Recently, the reservoir and rock physics models are more complicated. Thus, the research of wave propagation mechanism in complex porous media will play a more important role. The viscoelastic solid-skeleton based on general Zener linear solid is introduced into the anisotropic BISQ model in order to integrate the three important mechanisms: poroelastic, anisotropic and viscoelastic during wave propagation in the real media. A new constitutive relation and its corresponding first-order wave equations are proposed for simulating wave propagation on a staggered grid with high-order difference method. The snapshots and synthetic seismograms are obtained by simulate 2-D wavefield based on the new model.
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