SUMMARY
Acquisition of multiple seismic data sets at different moments in time is capable of satisfying the continuously increasing demand for high-quality subsurface images to reveal both static and dynamic elements during the field development. However, in practice, challenges of pursuing this strategy lie in different perspectives related to budgetary, operational and regulatory constraints. Seismic surveys performed in a compressed manner in time and/or space can provide high-quality seismic data sets in a cost-effective and productive manner. This way of acquisition normally accompanies decompression of recorded data such as deblending and/or data reconstruction. The performance of the recovery process is of fundamental importance in determining the technical success of compressed measurements. Our proposed approach aims at realizing the benefits from compression in data acquisition, contributing to cost and efficiency, while recovering deblended and reconstructed data of sufficient quality. The approach deals jointly with deblending and data reconstruction via a sparse inversion in the frequency–wavenumber domain, coupled with constraints on causality and coherency. Additionally, we formulate a single objective function aimed at sharing static information among vintages and, at the same time, at extracting dynamic changes in the reservoir of interest according to prior subsurface information. We apply the proposed approach to both synthetic and real data. A comparison with a strategy that independently recovers compressed data sets demonstrates the viability of the proposed simultaneous method to effectively enhance the quality of recovered data and extract reliable time-lapse signatures.