2D deblending using the multi-scale shaping scheme

• Published in: Journal of applied geophysics 2018-01, Vol.148, p.44-54
• Main Authors: Li, Qun, Ban, Xingan, Gong, Renbin, Li, Jinnuo, Ge, Qiang, Zu, Shaohuan
• Format: Article
• Language: English
• ISSN: 0926-9851; 1879-1859
• DOI: 10.1016/j.jappgeo.2017.10.014

Deblending can be posed as an inversion problem, which is ill-posed and requires constraint to obtain unique and stable solution. In blended record, signal is coherent, whereas interference is incoherent in some domains (e.g., common receiver domain and common offset domain). Due to the different sparsity, coefficients of signal and interference locate in different curvelet scale domains and have different amplitudes. Take into account the two differences, we propose a 2D multi-scale shaping scheme to constrain the sparsity to separate the blended record. In the domain where signal concentrates, the multi-scale scheme passes all the coefficients representing signal, while, in the domain where interference focuses, the multi-scale scheme suppresses the coefficients representing interference. Because the interference is suppressed evidently at each iteration, the constraint of multi-scale shaping operator in all scale domains are weak to guarantee the convergence of algorithm. We evaluate the performance of the multi-scale shaping scheme and the traditional global shaping scheme by using two synthetic and one field data examples. •The multi-scale shaping scheme regularize the inversion of deblending.•The multi-scale shaping scheme can better protect signal and suppress interference in different curvelet domain.