Abstract
AbstractThis study is based on the Carcione's theories of viscoelasticity and anisotropy. We present two‐dimensional, three‐component, first‐order velocity‐stress wave equations of viscoelastic tilted transversely isotropic (viscoelastic TTI) media and use an any‐order finite‐difference (FD) scheme to numerically solve the equations. The equations of the perfectly matched layer (PML) are also derived for the wave equations in viscoelastic TTI media and the any‐order FD scheme with a rotated staggered grid is also used to solve these equations. The results of numerical modeling indicate that the modeling precision is high and the absorbing boundary condition attains good effect in the viscoelastic TTI media, and high precise snapshots of wave fields and synthetic seismograms can be obtained, which can reflect the characteristics of viscoelasticity and anisotropy of subsurface media.
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