A study of seismic data reconstruction based on complex-valued curvelet transform
XU Wei1,2, ZHANG Hua3, ZHANG Luo-Yi3
1. School of Geosciences and Info-physics, Central South University, Changsha 410083, China;
2. Geophysical Prospecting, Surveying and Mapping Institute, Shanxi Coal Geological Exploration, Jinzhong 030600, China;
3. Fundamental Science on Radioactive Geology and Exploration Technology Laboratory, East China Institute of Technology, Nanchang 344000, China
Traditional seismic data sampling must follow the Nyquist sampling theorem;nevertheless, the field data acquisition can't meet the sampling theorem due to missing traces or exploration cost limits, so we need to reconstruct prestack data to meet the requirements for subsequent processing.A seismic data reconstruction method based on the Projections Onto Convex Sets (POCS) algorithm and a complex-valued curvelet transform (CCT) has been introduced in the paper.Firstly, the Projections Onto Convex Sets (POCS) and complex-valued curvelet transform to characterize the local features of seismic data have been introduced.To tackle the disadvantage of slow convergence in traditional threshold parameter during the reconstruction process, the authors also propose an exponential square root decreased threshold and process 2-D seismic data reconstruction with the hard thresholding, which can reduce iterations and improve reconstruction efficiency.The case study of synthetic seismic data shows that the effect of this method is fairly good.The authors applied this technology in real seismic data and obtained a good result.
徐卫, 张华, 张落毅. 基于复值曲波变换的地震数据重建方法[J]. 物探与化探, 2016, 40(4): 750-756.
XU Wei, ZHANG Hua, ZHANG Luo-Yi. A study of seismic data reconstruction based on complex-valued curvelet transform. Geophysical and Geochemical Exploration, 2016, 40(4): 750-756.
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