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Conclusions

We have shown ways of implementing the amplitude corrections proposed by Zhang (1993) both by mixed-domain and by finite-difference methods. We applied them to media of constant velocity, constant vertical velocity gradient, and of laterally varying velocity. In constant velocity, and especially for split-step modeling, the boundary condition correction makes amplitudes comparable to the analytical ones, or to those obtained by two-way wave equation modeling. In the constant vertical velocity gradient medium, the $\Gamma$ correction has the same effect as the WKBJ correction, but unlike it, it can also be applied in a v(x,z) medium. Future work will include application of the same procedure to other laterally varying velocity models and to real data and validation of v(x,z) results by comparison with results of ray-tracing with amplitudes.
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Next: Acknowledgments Up: Vlad et al.: Improving Previous: Results
Stanford Exploration Project
7/8/2003