- journal_title：Geophysics
- Contributor：Henning Kühl ; Maurico D. Sacchi ; Jürgen Fertig
- Publisher：Society of Exploration Geophysicists
- Date：2001-
- Format：text/html
- Language：en
- Identifier：10.1190/1.1487072
- journal_abbrev：Geophysics
- issn：0016-8033
- volume：66
- issue：4
- firstpage：1251
- section：SEISMIC MIGRATION
Phase-shift migration techniques that attempt to account for lateral velocity variations make substantial use of the fast Fourier transform (FFT). Generally, the Hermitian symmetry of the complex-valued Fourier transform causes computational redundancies in terms of the number of operations and memory requirements. In practice a combination of the FFT with the well-known real-to-complex Fourier transform is often used to avoid such complications. As an alternative means to the Fourier transform, we introduce the inherently real-valued, non-symmetric Hartley transform into phase-shift migration techniques. By this we automatically avoid the Hermitian symmetry resulting in an optimized algorithm that is comparable in efficiency to algorithms based on the real-to-complex FFT. We derive the phase-shift operator in the Hartley domain for migration in two and three dimensions and formulate phase shift plus interpolation, split-step migration, and split-step double-square-root prestack migration in terms of the Hartley transform as examples.
We test the Hartley phase-shift operator for poststack and prestack migration using the SEG/EAGE salt model and the Marmousi data set, respectively.