Summary of domains of migration algorithms
Series | Investigations in Geophysics |
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Author | Öz Yilmaz |
DOI | http://dx.doi.org/10.1190/1.9781560801580 |
ISBN | ISBN 978-1-56080-094-1 |
Store | SEG Online Store |
Migration algorithms described in this section are based on the assumption that the input stacked section represents a zero-offset acoustic wavefield. As such, these algorithms are all based on the scalar wave equation (12). Table 4-6 provides a list of the migration algorithms described in this section with the associated design and application domains. While there exist several other migration algorithms, those listed in Table 4-6 are the most widely used in practice.
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Also included in Table 4-6 are the types of velocity fields and dips each migration algorithm can accommodate. It is clear that each algorithm is limited by either the type of velocity variations or dip ranges. Therefore, each has an appropriate usage in practice depending on field data and velocity characteristics (introduction to migration). Note that the lateral velocity variations implied by the velocity fields in Table 4-6 are mild to moderate and are within the bounds of time migration. Additionally, the choice of migration algorithm depends on whether your objective is imaging or migration velocity analysis. While imaging is the subject of this chapter, migration velocity analysis is discussed in dip-moveout correction and prestack migration.
Algorithm | Domain | Dips and Velocities |
Kirchhoff summation | t − x time-space | up to 90 deg rms v(x, τ) |
Finite-Difference 15-deg Implicit | t − x time-space | up to 35 deg int v(x, τ) |
Finite-Difference 45-deg Implicit | ω − x frequency-space | up to 65 deg int v(x, τ) |
Finite-Difference 70-deg Explicit | ω − x frequency-space | up to 80 deg int v(x, τ) |
Phase-Shift | ω − k_{x} freq.-wavenumber | up to 90 deg int v(τ) |
Stolt Method with Stretch | ω − k_{x} freq.-wavenumber | up to 90 deg rms v(x, τ) |
See also
- Kirchhoff migration
- Diffraction summation
- Amplitude and phase factors
- Kirchhoff summation
- Finite-difference migration
- Downward continuation
- Differencing schemes
- Rational approximations for implicit schemes
- Reverse time migration
- Frequency-space implicit schemes
- Frequency-space explicit schemes
- Frequency-wavenumber migration
- Phase-shift migration
- Stolt migration