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Conclusions

We have introduced novel forms of anelliptic approximations for qP velocities in TI and orthorhombic media. The first modification is an empirical connection between $ q_1$ and $ q_3$ parameters, which depends on the dominant lithology. The second modification is a new functional form of the phase- and group-velocity approximations, allowing up to fourth-order fitting along both symmetry and non-symmetry axes. As a result of these modifications, we arrive at highly accurate four-parameter approximations and new three-parameter approximations for TI media with better accuracy than previously suggested three-parameter approximations for both phase and group velocites. On the basis of the modified anelliptic approximations in TI media, we also propose anelliptic approximations for qP velocities in orthorhombic media, which can be implemented using either six or nine parameters. The proposed orthorhombic phase-velocity approximation maintains the algebraic symmetry and appears to be a more accurate alternative to previously proposed approximations. The group-velocity approximation has an analogous functional form and is also very accurate. The superior accuracy of the proposed phase-velocity approximations is confirmed additionally using wave extrapolation experiments.


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Next: Acknowledgments Up: Sripanich & Fomel: qP Previous: Discussion

2017-04-14