Abstract:Based on Tsvankin's exact phase velocity for VTI media,we obtain the exact phase velocity of qP-wave for 3D TTI media with the coordinate transformation.Then following Thomsen anisotropic parameters,we gain the approximate formula of phase velocity for 3D TTI media with Taylor series.The phase velocity analysis shows that the approximate formula could well fit the exact formula.From the approximate formula of phase velocity,we derive the qP-wave dispersion relation and wave equation in the time-wavenumber domain for 3D TTI media.The stability of the wave equation is analyzed.Numerical examples demonstrate that the solution of the wave equation proposed in this paper is stable and free of S-wave artifacts.
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