Finite-difference solution of the image wave equation for depth remigration
Jörg Schleicher, Amélia Novais, Fernando Perin Munerato · 8th International Congress of the Brazilian Geophysical Society · 2003
The image wave equation for depth remigration is a partial differential equation that is similar to the acoustic wave equation. In this work, we determine the stability conditions that have to be met when solving the image wave equation by finite differences. The stability criterion exhibits a strong wavenumber dependence. Where higher horizontal than vertical wavenumbers are present in the data to be remigrated, stability may be difficult to achieve. Numerical tests demonstrate that the implementational form of the chosen FD scheme can be essential to obtain results with a limited numerical error even in situations where stability cannot be theoretically guaranteed.