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Concluding Remarks

This paper extends the theory of Riemannian wavefield extrapolation to generalized 3D non-orthogonal coordinate systems. The extrapolation wavenumber decouples from the other wavenumbers allowing us to use an extended split-step Fourier approximate solution. The examples indicate that wavefields can be extrapolated on non-orthogonal coordinate meshes. This generalization allows users to design meshes that have smoother mixed-domain fields that should lead to more accurate and efficient GRWE.

Stanford Exploration Project
4/5/2006