中国石油大学学报（自然科学版）2018，Vol.42Issue(1)：50-59,10.DOI:10.3969/j.issn.1673-5005.2018.01.006
基于快速匹配追踪的混合域地震稀疏反演方法
Seismic sparse inversion in mixed-domain utilizing fast matching pursuit algorithm
摘要
Abstract
Seismic inversion utilizing matching pursuit algorithm (FMP-SI) is one of the most effective sparse inversion methods with superior resolution by considering the sparse characteristic on model reflectivity. Considering the excellent anti-noise property and the low computational efficiency of traditional matching pursuit algorithms,we proposed a novel mixed-do-main sparse inversion utilizing the fast matching pursuit algorithm to improve the inversion efficiency. Sparse optimal solution of the subsurface reflectivity can be achieved by controlling the number of iterations and iteration's threshold. Firstly, the mixed-domain modeling operator and regularization equation are established by jointing the mixed-domain convolution with the low-frequency constraint,which can reduce the search space of model parameters effectively. In addition,the object function in the mixed-frequency domain can be deduced by a polyatomic fast matching pursuit algorithm. The recovery efficiency and convergence precision of model parameters can be improved. Finally,the feasibility and excellent stability are illustrated by several synthetic simulations and a field case. From the results,we conclude that the proposed method can achieve superior resolution and high anti-noise ability compared with the conventional time domain inversions. Furthermore,the problem of lo-cal extremum in single-atom matching pursuit algorithms can be avoided effectively.关键词
快速匹配追踪/稀疏反射率/混合域反演/低频模型/高分辨率Key words
fast matching pursuit/sparse reflectivity/mixed-domain model/low-frequency constraint/resolution enhance-ment分类
天文与地球科学引用本文复制引用
李坤,印兴耀,宗兆云,彪芳书..基于快速匹配追踪的混合域地震稀疏反演方法[J].中国石油大学学报（自然科学版）,2018,42(1):50-59,10.基金项目
国家自然科学基金项目(U1562215,U1762103,41604101) （U1562215,U1762103,41604101）
国家科技重大专项(2016ZX05024-004,2017ZX05009-001,2017ZX05036-005,2017ZX05032-003) （2016ZX05024-004,2017ZX05009-001,2017ZX05036-005,2017ZX05032-003）
中国石油大学(华东)研究生创新工程资助项目(YCX2017005) （华东）
