Abstract:

F-K demigration in media with constant velocity is the basis of the F-K demigration in inhomogeneous media. The essential of F-K demigration in constant velocity media is a process of mapping by interpolation. Since the function to be interpolated is a complex function, the authors present four interpolation methods, namely separate interpolation for the real and the imaginary part, interpolation after removing the oscillatory factor, separate interpolation for the module and phase, and interpolation directly in the frequency domain. Numerical results show that interpolation directly in the frequency domain gives the optimal results. Although the interpolation after removing the oscillatory factor has a high accuracy, it can be used only for models with ideal parameters. Both the method of separate interpolation for the real and the imaginary part and the method of separate interpolation for the module and phase have low accuracy.

Key words: F-K demigration, interpolation mapping, frequency domain interpolation