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Comparison between the Fourier finite-difference method and the generalized-screen method.
- Source :
- Geophysical Prospecting; May2009, Vol. 57 Issue 3, p355-365, 11p, 1 Black and White Photograph, 6 Graphs
- Publication Year :
- 2009
-
Abstract
- The Fourier finite-difference propagator and the generalized-screen propagator are two general high-order forms of one-way dual-domain methods. We compare these two propagators mainly on phase accuracy, computational efficiency and 3D extension. A comparison of phase accuracy shows that the high-order generalized-screen propagator is preferable to the Fourier finite-difference propagator for heterogeneous media with a weak velocity contrast and wide dip angle. With increasing velocity contrast, the accuracy improvement gained by the high-order generalized-screen propagator declines rapidly. The Fourier finite-difference propagator is more robust and flexible to lateral velocity variations than the generalized-screen propagator. The 2D Fourier finite-difference propagator is superior to the 2D generalized-screen propagator when the velocity contrast is stronger than 23%. Despite the two-way splitting error, the 3D Fourier finite-difference propagator is more accurate than the second-order generalized-screen propagator when the velocity contrast is stronger than 20% and is more accurate than the fourth-order generalized-screen propagator when the velocity contrast is stronger than 40%. Numerical experiments on the SEG/EAGE salt model demonstrate that the Fourier finite-difference propagator behaves better than the generalized-screen propagator when imaging steep salt boundary and faults beneath the salt body. Under the same hardware and software conditions, the computational cost of the Fourier finite-difference propagator in our implementation is greater than that of the second-order generalized-screen propagator but smaller than that of the third-order generalized-screen propagator. Compared with the Fourier finite-difference propagator, the generalized-screen propagator requires fewer grid points per wavelength and has more potential to improve running speed in the presence of a much faster Fourier transform. These analyses are applicable for both forward modelling and depth migration. [ABSTRACT FROM AUTHOR]
- Subjects :
- FOURIER transforms
FINITE differences
WAVE equation
SPEED
WAVELENGTHS
Subjects
Details
- Language :
- English
- ISSN :
- 00168025
- Volume :
- 57
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Geophysical Prospecting
- Publication Type :
- Academic Journal
- Accession number :
- 37266853
- Full Text :
- https://doi.org/10.1111/j.1365-2478.2008.00748.x