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- W2007807002 abstract "It is well known that stable and cost-effective explicit finite-difference 2D wavefield extrapolators can be designed using least-squares filters (Holberg, 1988). The method handles lateral velocity variations and high angle energy that cannot be properly migrated is suppressed. This energy is often smeared and dispersed when conventional methods are used. The immediate extension of Holberg's operators to the 3D case leads to numerically expensive 2D convolutional filters (Blacquière et al, 1989). Hale (1991b) introduced 3D wave extrapolation using McClellan transformations reducing the computational cost significantly; but spatial oversampling is needed to avoid numerical distortion. Soubaras (1992) proposed a more accurate scheme using a series expansion of the 3D extrapolation operator in terms of second derivatives. He applied the Remez exchange algorithm for optimization. Our approach is based on an expansion of second derivatives and the use of Chevbyshev recursion. Furthermore, we apply tabulated filters of variable order approximating second derivatives up to pre-specified spatial frequencies. All optimization is done by using least-squares. The resulting extrapolation algorithm for 3D migration is computationally more efficient than comparable methods and eminently suited for high dip imaging." @default.
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- W2007807002 date "1993-01-01" @default.
- W2007807002 modified "2023-09-26" @default.
- W2007807002 title "Wavefield extrapolators for cost-effective 3D depth migration" @default.
- W2007807002 doi "https://doi.org/10.3997/2214-4609.201411519" @default.
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