Implementation and application of compressed sensing algorithm for seismic spectrum inversion
XIA Hongmin1, LIU Lanfeng1, ZHANG Xianhui2,3, CHEN Shuangquan2,3
1. SINOPEC Petroleum Exploration and Production Research Institute, Beijing 100083, China; 2. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China; 3. CNPC Key Laboratory of Geophysical Prospecting, China University of Petroleum, Beijing 102249, China
Abstract:Seismic spectrum inversion is a method of decomposing the reflection coefficient into odd and even components, and then using part of spectrum information for inversion. In this study, a spectral inversion method based on compressed sensing algorithm is developed in conjunction with the quadratic spectral calculation method of seismic data. Seismic spectrum inversion is carried out by the compressed sensing algorithm that implements gradi-ent projection and sparse reconstruction, and better improves the stability of conventional spectrum inversion algorithm. At the same time, the second spectrum of seismic data is used to estimate the seismic wavelet spectrum in the inversion, which well realizes the application of spectrum inversion of seismic data. Application to synthetic and raw data has proved that the spectrum inversion method based on compressed sensing algorithm is very adaptable and practicable. In raw data processing, this method is less influenced, and its inversion result has high signal-to-noise ratio and good lateral continuity.
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