A nonstationary perspective on sparse deconvolution
Sun Xuekai1, Sun Zandong1, Xie Huiwen2, Liu Lifeng1, Peng Tao1,3, Wang Yonggang1
1. Lab for Integration of Geology and Geophysics, China University of Petroleum (Beijing), Beijing 102249, China;
2. Tarim Oilfield Company, PetroChina, Korla, Xinjiang 841000, China;
3. Chengdu University of Technology, Chengdu, Sichuan 610059, China
Abstract：Due to the application of specific reflectivity assumptions, sparse deconvolution thus avoids the limitations of the traditional white-reflectivity, and could also bring about phase adjustments and improvements. However, this technique at present is not quite qualified to dealing with the intrinsic nonstationarity of seismic signal, which is caused by earth filtering. For this reason, this paper proposes a nonstationary sparse deconvolution method by incorporating advantages of Gabor deconvolution and sparse deconvolution. In this method, Gabor deconvolution is applied to analyze and compensate the nonstationarity in log spectra while sparse deconvolution is for a better solution of reflectivity and wavelet. Based on a marine poststack dataset, we separately apply the nonstationary sparse deconvolution with Cauchy constraint on a single trace, a simple section and the reef section with complex structures. Results show that nonstationary sparse deconvolution can greatly enrich obtained reflectivity information and enhance weak components. Meanwhile, the lateral continuity is also improved.
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