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The De-absorption Method Using Transform-domain Sparse Constrained Inversion
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 77th EAGE Conference and Exhibition 2015, Jun 2015, Volume 2015, p.1 - 5
Abstract
The inversion-based de-absorption is an effective method to correct the attenuation and dispersion of the seismic wave. However, the coefficient matrix constructed by the time-frequency attenuation factor is usually singular with many small singular values, mainly caused by the attenuation term. In general, the right singular vectors of the coefficient matrix corresponding to small singular values contribute to high-frequency components of the reflectivity in deep part. Because the time resolution coefficients corresponding to the right singular vectors are often a little large, de-absorption is unstable in the deep part, especially in the presence of noise. We propose a multi-trace de-absorption method using the transform-domain sparsity constraint as a stabilizer to address the instability issue. A 2D noisy synthetic non-stationary data example and a 2D real data example are adopted to illustrate the performance of the proposed method.