Seismic data reconstruction based on POCS and improved Jittered sampling in the curvelet domain
Wang Benfeng1,2, Chen Xiaohong1,2, Li Jingye1,2, Zhang Hua1,3
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum(Beijing), Beijing 102249, China;
2. National Engineering Laboratory for Offshore Oil Exploration, China University of Petroleum(Beijing), Beijing 102249, China;
3. Key Laboratory of Fundamental Science on Radioactive Geology and Exploration Technology, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
Abstract：Due to acquisition limitations and dead trace eliminations, seismic data in spatial coordinates are irregularly sampled,which affects the performances of seismic data processing or inversion. Thus, seismic data reconstruction is an essential procedure. We propose a new data reconstruction approach in this paper. Firstly, we reconstruct irregularly sampled seismic data based on curvelet transform and Project onto Convex Sets (POCS). Then, we analyze influence of different threshold models on reconstruction performance and convergence ratio for 2D data, and improve exponential threshold model (q=0.5) with improved Jittered under-sampling is used to reconstruct every effective frequency slice in the frequency domain. Finally, we reconstruct 3D seismic data. A novel reconstruction error function is defined during iterations, which can effectively terminate the iterations to gain higher efficiency as well as guarantee high reconstruction performance. Synthetic and real data tests prove the validity of the proposed approach.
王本锋, 陈小宏, 李景叶, 张华. POCS联合改进的Jitter采样理论曲波域地震数据重建[J]. 石油地球物理勘探, 2015, 50(1): 20-28.
Wang Benfeng, Chen Xiaohong, Li Jingye, Zhang Hua. Seismic data reconstruction based on POCS and improved Jittered sampling in the curvelet domain. OGP, 2015, 50(1): 20-28.
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