Three-dimensional seismic data reconstruction via partial sum of tensor nuclear norm minimisation

IF 1.6 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Journal of Geophysics and Engineering Pub Date : 2023-03-01 DOI:10.1093/jge/gxad012
Xingli Zhang, Yaping Zhang, ZuoGang Liu, Hongjuan Wang
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Abstract

Rank-reduction (RR) has become a hotspot in seismic data reconstruction research in recent years. Traditional RR methods generally use the nuclear norm as a convex proxy for rank, but these methods overly penalise large singular values, leading to reconstruction results that deviate from the optimal solution. In this paper, we propose a tensor robust principal component analysis (TRPCA) model with minimisation of the partial sum of tensor nuclear norm (PSTNN) for three-dimensional (3D) reconstruction of seismic data. PSTNN minimises only the partial singular values and can approximate the rank function more accurately. TRPCA can accurately recover the 3D tensor corrupted by sparse errors, improving the accuracy of seismic data reconstruction. The experimental results of the simulated data and real data show that the reconstruction effect of the proposed method on the 3D seismic data is better than the compared methods.
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基于张量核范数最小化部分和的三维地震数据重建
降秩(RR)是近年来地震资料重建研究的热点。传统的RR方法通常使用核范数作为秩的凸代理,但这些方法过度惩罚大的奇异值,导致重建结果偏离最优解。在本文中,我们提出了一种用于地震数据三维重建的张量鲁棒主成分分析(TRPCA)模型,该模型具有张量核范数部分和(PSTNN)的最小化。PSTNN仅最小化部分奇异值,并且可以更准确地近似秩函数。TRPCA可以准确地恢复被稀疏误差破坏的三维张量,提高地震数据重建的精度。模拟数据和实际数据的实验结果表明,该方法对三维地震数据的重建效果优于对比方法。
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来源期刊
Journal of Geophysics and Engineering
Journal of Geophysics and Engineering 工程技术-地球化学与地球物理
CiteScore
2.50
自引率
21.40%
发文量
87
审稿时长
4 months
期刊介绍: Journal of Geophysics and Engineering aims to promote research and developments in geophysics and related areas of engineering. It has a predominantly applied science and engineering focus, but solicits and accepts high-quality contributions in all earth-physics disciplines, including geodynamics, natural and controlled-source seismology, oil, gas and mineral exploration, petrophysics and reservoir geophysics. The journal covers those aspects of engineering that are closely related to geophysics, or on the targets and problems that geophysics addresses. Typically, this is engineering focused on the subsurface, particularly petroleum engineering, rock mechanics, geophysical software engineering, drilling technology, remote sensing, instrumentation and sensor design.
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