Parallel implementation of 3‐D split‐step Fourier depth migration algorithm on T3E

Tanis, Mehnet C.; Stoffa, Paul L.

doi:10.1190/1.1885680

Cited by 4 publications

(1 citation statement)

References 2 publications

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“…The SSF method takes into account small lateral slowness variations yet retains the advantages of the phase-shift method. It has been used for poststack migration (Stoffa et al, 1990), prestack migration (Huang and Wu, 1996b;Popovici, 1996;Roberts et al, 1997;Tanis and Stoffa, 1997), and modeling of forward and primary reflected wave propagation (Wu and Huang,1992;.…”

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Extended local Born Fourier migration method

Huang

Fehler

1999

GEOPHYSICS

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A migration approach based on a local application of the Born approximation within each extrapolation interval contains a singularity that can make direct application unstable. Previous authors have suggested adding an imaginary part to the vertical wavenumber to eliminate the singularity. However, their method requires that the reference slowness must be the maximum slowness of a given layer; consequently, the slowness perturbations are larger than those when the average slowness is selected as a reference slowness. Therefore, its applicability is limited. We develop an extended local Born Fourier migration method that circumvents the singularity problem of the local Born solution and makes it possible to choose the average slowness as a reference slowness. It is computationally efficient because of the use of a fast Fourier transform algorithm. It can handle wider angles (or steeper interfaces) and scattering effects of heterogeneities more accurately than the split-step Fourier (SSF) method, which accounts for only the phase change as a result of the slowness perturbations but not amplitude change. To handle large lateral slowness variations, we introduce different reference slownesses in different regions of a medium to ensure the condition of small perturbation. The migration result obtained using the extended local Born Fourier method with multiple reference slownesses demonstrates that the method can produce high-quality images of complex structures with large lateral slowness variations.

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confidence: 99%

Extended local Born Fourier migration method

Huang

Fehler

1999

GEOPHYSICS

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Implementation of Symmetric Nonstationary Phase-Shift Wavefield Extrapolator on an Alpha Cluster

Margrave

2001

Computational Science — ICCS 2001

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Extended local Rytov Fourier migration method

et al. 1999

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We develop a novel depth‐migration method termed the extended local Rytov Fourier (ELRF) migration method. It is based on the scalar wave equation and a local application of the Rytov approximation within each extrapolation interval. Wavefields are Fourier transformed back and forth between the frequency‐space and frequency‐wavenumber domains during wavefield extrapolation. The lateral slowness variations are taken into account in the frequency‐space domain. The method is efficient due to the use of a fast Fourier transform algorithm. Under the small angle approximation, the ELRF method leads to the split‐step Fourier (SSF) method that is unconditionally stable. The ELRF method and the extended local Born Fourier (ELBF) method that we previously developed can handle wider propagation angles than the SSF method and account for the phase and amplitude changes due to the lateral variations of slowness, whereas the SSF method only accounts for the phase changes. The stability of the ELRF method is controlled more easily than that of the ELBF method.

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Parallel implementation of 3‐D split‐step Fourier depth migration algorithm on T3E

Cited by 4 publications

References 2 publications

Extended local Born Fourier migration method

Extended local Born Fourier migration method

Implementation of Symmetric Nonstationary Phase-Shift Wavefield Extrapolator on an Alpha Cluster

Extended local Rytov Fourier migration method

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