Abstract
Summary The existing visco-acoustic wave equations are mainly designed for isotropic media. For anisotropic media, there are less researches on the corresponding visco-acoustic wave equations. To describe the attenuation effect for seismic wave modelling in anisotropic media, in this abstract, we develop a simplified visco-acoustic wave equation in 3D TTI media. We first review the visco-acoustic wave equation in isotropic media based on the standard linear solid (SLS) model. Then, a pure acoustic wave equation by incorporating finite-difference and Poisson algorithm is proposed to eliminate the SV-wave pollution and numerical instability of conventional pseudo-acoustic wave equation in 3D TTI media. Last, we combine isotropic visco-acoustic wave and anisotropic pure acoustic wave to exploit a new SLS-based pure visco-acoustic wave equation for 3D TTI media. Theory derivation and numerical experiments have demonstrated that our proposed equation can simultaneously reflect amplitude attenuation and phase distortion for wave simulation in 3D TTI media.
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