2DPCA constrained wavelet transform method for thin layer identification

Rong NIE, HuiQun XU, YaSong ZHAO

Prog Geophy ›› 2024, Vol. 39 ›› Issue (6) : 2318-2327.

PDF(9932 KB)
Home Journals Progress in Geophysics
Progress in Geophysics

Abbreviation (ISO4): Prog Geophy      Editor in chief:

About  /  Aim & scope  /  Editorial board  /  Indexed  /  Contact  / 
PDF(9932 KB)
Prog Geophy ›› 2024, Vol. 39 ›› Issue (6) : 2318-2327. DOI: 10.6038/pg2024HH0129

2DPCA constrained wavelet transform method for thin layer identification

Author information +
History +

Abstract

Time-frequency analysis is one of the important methods to study thin layer. Time-frequency analysis technology studies thin layer structure according to the time-frequency variation law of seismic response, but the resolution of seismic thin layer response features in frequency domain is limited. The author constructs a seismic thin layer identification method based on two-dimensional principal component analysis (2DPCA) constrained synchronous squeezing wavelet transform. That is, 2DPCA constrained synchronous extrusion wavelet transform (2DPCACSWT) can obtain a high precision thin-layer data body. The key steps of the seismic thin layer identification method proposed in this paper are: Firstly, the wavelet coefficients are obtained by wavelet transform, secondly, the wavelet coefficients are converted from the time-scale plane to the time-frequency plane, and then the wavelet coefficients are rearranged in the frequency direction to obtain the synchronous extrusion transform value. Finally, a result with strong energy focusing and effective time-frequency characteristics of the data can be obtained by 2DPCA constraint. This result serves as a data body indicating seismic thin layer information. The wedge-shaped model and practical data prove that 2DPCACSWT method provides a new technique for thin layer space characterization.

Key words

Synchrosqueezing wavelet transform / Two-dimensional principal component analysis / 2DPCACSWT / Time-frequency analysis / Thin layer

Cite this article

Download Citations
Rong NIE , HuiQun XU , YaSong ZHAO. 2DPCA constrained wavelet transform method for thin layer identification[J]. Progress in Geophysics. 2024, 39(6): 2318-2327 https://doi.org/10.6038/pg2024HH0129

References

Ahrabian A Mandic D P. A class of multivariate denoising algorithms based on synchrosqueezing IEEE Transactions on Signal Processing 2015 63 9 2196 2208
Auger F Flandrin P Lin Y T . Time-frequency reassignment and synchrosqueezing: An overview IEEE Signal Processing Magazine 2013 30 6 32 41
Castagna J P Sun S J Siegfried R W. Instantaneous spectral analysis: Detection of low-frequency shadows associated with hydrocarbons The Leading Edge 2003 22 2 120 127
Chakraborty A Okaya D. Frequency-time decomposition of seismic data using wavelet-based methods Geophysics 1995 60 6 1906 1916
Chen X H He Z H Huang D J . Low frequency shadow detection of gas reservoirs in time-frequency domain Chinese Journal of Geophysics 2009 52 1 215 221
Chen Y K Liu T T Chen X H . Time-frequency analysis of seismic data using synchrosqueezing wavelet transform Journal of Seismic Exploration 2014 23 4 303 312
Daubechies I Lu J F Wu H T. Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool Applied and Computational Harmonic Analysis 2011 30 2 243 261
Durak L Arikan O. Short-time Fourier transform: two fundamental properties and an optimal implementation IEEE Transactions on Signal Processing 2003 51 5 1231 1242
Feng Z P Chen X W Liang M. Iterative generalized synchrosqueezing transform for fault diagnosis of wind turbine planetary gearbox under nonstationary conditions Mechanical Systems and Signal Processing 2015 52-53 360 375
Gao J H Chen W C Li Y M . Generalized S transform and seismic response analysis of thin interbeds Chinese Journal of Geophysics 2003 46 4 526 532
Gao J H Liu N H Q . Characterization of thin interbedded reservoir using synchrosqueezing transform Geophysical Prospecting for Petroleum 2018 57 4 512 521
He Z H Xiong X J Bian L E. Numerical simulation of seismic low-frequency shadows and its application Applied Geophysics 2008 5 4 301 306
Hemon C H Mace D. ESSAI D'une application de la transformation de Karhunen-Loève Au traitement sismique Geophysical Prospecting 1978 26 3 600 626
Herrera R H Han J J van der Baan M. Applications of the synchrosqueezing transform in seismic time-frequency analysis Geophysics 2014 79 3 V55 V64
Hotelling H. Analysis of a complex of statistical variables into principal components Journal of Educational Psychology 1933 24 6 417 441
Huang N E Shen Z Long S R . The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 1998 454 1971 903 995
Huang Y C Zheng X D Luan Y . Comparison of linear and nonlinear time-frequency analysis on seismic signals Oil Geophysical Prospecting 2018 53 5 975 989
Huang Z L Zhang J Z Zou Z H. A second-order synchrosqueezing S-transform and its application in seismic spectral decomposition Chinese Journal of Geophysics 2017 60 7 2833 2844
Liu X W Ning J R Liu P T . Seismic time-frequency analysis for frequency decomposition with applications to seismic sedimentology and reservoir imaging Progress in Geophysics 2009 24 5 1679 1688
Marfurt K J Kirlin R L. Narrow-band spectral analysis and thin-bed tuning Geophysics 2001 66 4 1274 1283
Meignen S Oberlin T McLaughlin S. A new algorithm for multicomponent signals analysis based on synchrosqueezing: With an application to signal sampling and denoising IEEE Transactions on Signal Processing 2012 60 11 5787 5798
Pan X Cao S Y Xu Y K . The hydrocarbon detection technology based on synchrosqueezing wavelet transform Chinese Journal of Geophysics 2020 63 11 4176 4187
Partyka G Gridley J Lopez J. Interpretational applications of spectral decomposition in reservoir characterization The Leading Edge 1999 18 3 353 360
Pinnegar C R Mansinha L. Time-local spectral analysis for non-stationary time series: The S-transform for noisy signals Fluctuation and Noise Letters 2003 3 3 L357 L364
Puryear C I Castagna J P. Layer-thickness determination and stratigraphic interpretation using spectral inversion: Theory and application Geophysics 2008 73 2 R37 R48
Qian S Chen D. Discrete Gabor transform IEEE Transactions on Signal Processing 1993 41 7 2429 2438
Sinha S Routh P S Anno P D . Spectral decomposition of seismic data with continuous-wavelet transform Geophysics 2005 70 6 P19 P25
Sinha S Routh P Anno P. Instantaneous spectral attributes using scales in continuous-wavelet transform Geophysics 2009 74 2 WA137 WA142
Stockwell R G Mansinha L Lowe R P. Localization of the complex spectrum: the S transform IEEE Transactions on Signal Processing 1996 44 4 998 1001
Wei L Cao S Y Yang L . Synchrosqueezing transform and its applications in seismic data analysis Journal of Seismic Exploration 2016 25 3 27 44
Wu H T Chan Y H Lin Y T . Using synchrosqueezing transform to discover breathing dynamics from ECG signals Applied and Computational Harmonic Analysis 2014 36 2 354 359
Xia L J Liu Z Zhu X Y . New reservoir prediction method based on MFWVD high precision time-frequency spectrum analysis Progress in Geophysics 2023 38 4 1647 1655
Yang J Zhang D Frangi A F . Two-dimensional PCA: A new approach to appearance-based face representation and recognition IEEE Transactions on Pattern Analysis and Machine Intelligence 2004 26 1 131 137
Yue Y X Cai J X Li B . Application research of synchrosqueezing wavelet transform in the reservoir prediction Progress in Geophysics 2018 33 6 2498 2506
Zhang C Li Y Lin H B . Signal preserving and seismic random noise attenuation by Hurst exponent based time-frequency peak filtering Geophysical Journal International 2015 203 2 901 909
学华 振华 德济 . 时频域油气储层低频阴影检测 地球物理学报 2009 52 1 215 221
静怀 文超 幼铭 . 广义S变换与薄互层地震响应分析 地球物理学报 2003 46 4 526 532
静怀 乃豪 . 薄互层型油气储层同步挤压变换域分析方法 石油物探 2018 57 4 512 521
振华 晓军 立恩. 地震低频伴影的数值模拟与应用(英文) 应用地球物理: 英文版 2008 5 4 301 306
昱丞 晓东 . 地震信号线性与非线性时频分析方法对比 石油地球物理勘探 2018 53 5 975 989
忠来 建中 志辉. 二阶同步挤压S变换及其在地震谱分解中的应用 地球物理学报 2017 60 7 2833 2844
喜武 俊瑞 培体 . 地震时频分析与分频解释及频谱分解技术在地震沉积学与储层成像中的应用 地球物理学进展 2009 24 5 1679 1688
思远 彦凯 . 基于同步挤压小波变换的烃类识别技术 地球物理学报 2020 63 11 4176 4187
连军 相羽 . 一种基于MFWVD高精度时频谱分析的储层预测新方法 地球物理学进展 2023 38 4 1647 1655
友喜 俊雄 . 同步挤压小波变换在储层预测中的应用研究 地球物理学进展 2018 33 6 2498 2506

感谢审稿专家提出的修改意见和编辑部的大力支持!

RIGHTS & PERMISSIONS

Copyright ©2024 Progress in Geophysics. All rights reserved.
PDF(9932 KB)

Accesses

Citation

Detail

Sections
Recommended

/