Multi-trace post-stack seismic data sparse inversion with nuclear norm constraint
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RESEARCH ARTICLE - APPLIED GEOPHYSICS
Multi‑trace post‑stack seismic data sparse inversion with nuclear norm constraint Ronghuo Dai1 · Fanchang Zhang2 · Cheng Yin3 · Ying Hu1 Received: 20 August 2019 / Accepted: 3 November 2020 © Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2020
Abstract Among many seismic inversion methods, the sparse spike inversion for post-stack seismic data uses the migrated and stacked seismic data which is regarded as zero offset reflection seismic data in the case of normal incidence to extract reflectivity and impedance of underground rocks. The seismic reflectivity and impedance can reflect underground rocks’ lithology, petrophysical property, oil–gas possibility, and so forth. However, the common used post-stack seismic inversion adopts single trace in the process of inversion and completes the whole data cube’s inversion through trace by trace. It cannot use lateral regularization. Hence, the lateral continuity of single trace inversion result is poor. It is difficult to represent the lateral variation features of underground rocks. Based on the conventional sparse spike inversion, the nuclear norm of matrix in the matrix completion theory is introduced in the process of post-stack seismic inversion. At the same time, the strategy of multi-trace seismic data simultaneous inversion is used to carry out lateral regularization constraint. Numerical tests on 2D model indicate that the inversion results obtained from the proposed method can clearly represent not only the vertical variation features but also the lateral variation features of underground rocks. At last, the inversion results of real seismic data further show the feasibility and superiority of the proposed method in practical application. Keywords Post-stack seismic inversion · Sparse spike inversion · Nuclear norm · Multi-trace inversion · Lateral constraint
Introduction As a core technology of the study of oil and gas reservoir, post-stack seismic data inversion plays a great role in the reservoir’s exploration and development. The post-stack seismic data inversion can transform the migrated and stacked seismic data section into the inverted reflectivity and impedance section with clear geological meaning of underground rocks.
* Ronghuo Dai [email protected] 1
School of Mathematics and Information, China West Normal University, Nanchong, Sichuan Province, People’s Republic of China
2
School of Geosciences, China University of Petroleum (East China), Qingdao, Shandong Province, People’s Republic of China
3
School of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan Province, People’s Republic of China
The post-stack seismic data inversion started in the 1970s. In the beginning, it just studied one dimensional case. In the 1980s, since Cooke and Schneider (1983) applied generalized linear inverse problem theory to the post-stack seismic inversion, it has developed rapidly and has gradually displaced the bright spot identification technology fo
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