Anton Duchkov, Trofimuk Institute of Petroleum Geology and Geophysics (Russia)

KAUST-IAMCS Workshop on Modeling and Simulation of Wave Propagation and Applications 2012

May 8-9, 2012

King Abdullah University of Science and Technology (KAUST)

Thuwal, Kingdom of Saudi Arabia

Wave Packets in Seismic Imaging

Authors:

• A.A. Duchkov, Trofimuk Institute of Petroleum Geology and Geophysics (Russia)
• F. Andersson, Lund University (Sweden)

Wave-packet functions can be viewed as 'localized' plane waves. They form a frame (overdetermined basis) allowing for sparse representation of seismic data, snapshots and images. Straightforward application of such frame includes seismic data compression, slope detection, denoising, data regularization. Moreover, one can introduce a frame of Gaussian wave packets (GWPs) which are described by analytic formulas. This allows for even more flexible representation accounting for phase shift, curvature etc. GWPs can be used for developing fast prestack migration algorithms. After sparse data representation with GWPs they can be back propagated into the medium using Gaussian beam theory and thus they retain analytic description. Then analytic formulas can be used for applying imaging condition as well.