We extend the applicability of approximate, but very efficient and highly accurate formulae for computing traveltimes of seismic P and S waves propagating in smooth inhomogeneous, weakly anisotropic media, to layered media. We illustrate the accuracy of these formulae in smooth media by the comparison of their results with results of the Fourier pseudospectral method. The formulae can find applications in migration and traveltime tomography.
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