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Based on beamlet decomposition of wave field and Green's function, we formulated an amplitude correction method in angle domain. The formulation relates the local image matrix (LIM), which bears the footprints of the acquisition aperture and propagation path effects, and the local scattering matrix (LSM), which is directly related to the medium property. From the formulation, two types of amplitude correction are proposed: one is the correction for common reflection-angle image for AVA analysis. The other is the correction for total strength image. From the imaging results of the four-layer model and the SEG/EAGE model, we see significant improvement in amplitude fidelity and image quality.

Beamlet migration based on local perturbation theory is proposed. The method is formulated with a l o c a l bac kground velocity and local perturbations for each window of the wave eld decomposition using Gabor-Daubechies frame and local cosine basis. The propagators and phase-correction operators are obtained analytically for the G-D tight-frame, and numerically for the local cosine basis. The numerical test using the SEG-EAEG salt model poststac k data demonstrates the great potential of this approach.

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