| Peer-Reviewed

A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering

Received: 20 April 2017    Accepted:     Published: 20 April 2017
Views:       Downloads:
Abstract

The accuracy of seismic wavelet extraction influences the accuracy of analysis and dealing for seismic data directly. In fact, the wavelet in seismic data has the characteristics of time-varying. There are many methods for wavelet extraction, but the results using existing methods are not satisfying. This paper studies a new method for the separation of seismic wavelet and reflection coefficient from seismic data using Empirical Mode Decomposition (EMD) which have the superiorities of adaptive decomposition and multi-scale analysis. Firstly, we cut the seismic data into different segmentations and regard each segmentation as stationary signals while combining the characteristics of wavelet and reflection coefficient based on the hypothesis of stationarity. Then, we do preprocessing which is an important step. After preprocessing, Mirror extension inhibit the endpoint effect. Finally, using EMD decomposes the logarithmic amplitude spectrum of each segmentation and selecting different Intrinsic Mode Functions (IMF) which are smooth and continuous restructures the wavelet. The simulation results show that this method can implement the separation of seismic wavelet and reflection coefficient precisely. This paper lay a foundation for later high-precision extraction of seismic wavelet.

Published in Science Discovery (Volume 5, Issue 2)
DOI 10.11648/j.sd.20170502.16
Page(s) 118-128
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Time-Varying Wavelet Extraction, Non-stationary Signal, Preprocessing, Mirror Extension, EMD

References
[1] 胡启宇,同态反褶积的一种可能途径[J],石油物探,1984,23(2):109-111。
[2] Liang G H,Cai X P,Li Q Y,Using high-order cumulants to extrapolate spatially variant seismicwavelet [J]. Geophysics, 2002, 67(6):1869-1876.
[3] Mirko van der B. Time-varying wavelet estimation and deconvolution by kurtosis maximization[J]. Geophysics,2008,73(2) : 11-18.
[4] 高静怀,汪玲玲,赵伟.基于反射地震记录变子波模型提高地震记录分辨率[J].地球物理学报,2009(5):1289-1300。
[5] 刘浩杰,王延光,韩文功.基于系统辨识提高地震资料分辨率研究[J].地球物理学进展,2010(3):994-999。
[6] 冯晅,刘财,杨宝俊,等.分时窗提取地震子波及在合成地震记录中的应用[J].地球物理学进展,2002, 17(1):71-77。
[7] 高国民,胡望水,黄玉欣,等.合成地震记录子波提取方法[J].内蒙古石油化工,2008,1:130-132。
[8] 戴永寿,王晓波,丁进杰,王蓉蓉,张鹏.自适应分段的时变子波估计方法[J]。石油地球物理勘探,2015,50(4):607-612。
[9] 白桦,李鲲鹏.基于时频分析的地层吸收补偿[J].石油地球物理勘探,1999,34(6):642-648。
[10] Stockwell R G,Mansinha L,Lowe R P. Localization of the complex spectrum: the S transform [J]. Signal Processing, IEEE Transactions on, 1996, 44(4): 998-1001.
[11] 王蓉蓉,戴永寿,李闯,张鹏,谭永成.时频分析与自适应分段相结合的时变子波提取方法.石油地球物理勘探[J],2016,51(5):850-862。
[12] Rosa A L R,Ulrych T J. Processing via spectral modeling [J]. Geophysics, 1991, 56(8): 1244-1251.
[13] 赵波,俞寿朋,聂勋碧.谱模拟反褶积方法及应用[J].石油物理勘探,1996.56(8):1244~1251。
[14] 孙成禹.谱模拟方法及其在提高地震资料分辨率中的应用[J].石油地球物理勘探,2000,35(1):27-35。
[15] 李振春,赵义平,徐文才.2015.基于S域谱模拟技术的时变子波提取方法研究.地球物理学进展[J],30(6):2706-2713,doi:10.6038/pg20150631。
[16] 戴永寿,张漫漫,张亚南,丁进杰,王蓉蓉,张鹏.基于时频谱模拟的时变混合相位子波提取.石油地球物理勘探,2015,50(5):830-838,853。
[17] Huang N E, Shen Z,Long S R.The ernpirical mode decomposition and the Hilbrt spectrum for nonlinear and non-stationary time series analysis [J]. Proc.Royal Society. London, 1998, 454(12):903-995.
Cite This Article
  • APA Style

    Lu Zi-hao, Dai Yong-shou, Gao Xu, Zhang Peng, Tan Yong-cheng, et al. (2017). A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering. Science Discovery, 5(2), 118-128. https://doi.org/10.11648/j.sd.20170502.16

    Copy | Download

    ACS Style

    Lu Zi-hao; Dai Yong-shou; Gao Xu; Zhang Peng; Tan Yong-cheng, et al. A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering. Sci. Discov. 2017, 5(2), 118-128. doi: 10.11648/j.sd.20170502.16

    Copy | Download

    AMA Style

    Lu Zi-hao, Dai Yong-shou, Gao Xu, Zhang Peng, Tan Yong-cheng, et al. A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering. Sci Discov. 2017;5(2):118-128. doi: 10.11648/j.sd.20170502.16

    Copy | Download

  • @article{10.11648/j.sd.20170502.16,
      author = {Lu Zi-hao and Dai Yong-shou and Gao Xu and Zhang Peng and Tan Yong-cheng and Zhang Hong-qian},
      title = {A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering},
      journal = {Science Discovery},
      volume = {5},
      number = {2},
      pages = {118-128},
      doi = {10.11648/j.sd.20170502.16},
      url = {https://doi.org/10.11648/j.sd.20170502.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20170502.16},
      abstract = {The accuracy of seismic wavelet extraction influences the accuracy of analysis and dealing for seismic data directly. In fact, the wavelet in seismic data has the characteristics of time-varying. There are many methods for wavelet extraction, but the results using existing methods are not satisfying. This paper studies a new method for the separation of seismic wavelet and reflection coefficient from seismic data using Empirical Mode Decomposition (EMD) which have the superiorities of adaptive decomposition and multi-scale analysis. Firstly, we cut the seismic data into different segmentations and regard each segmentation as stationary signals while combining the characteristics of wavelet and reflection coefficient based on the hypothesis of stationarity. Then, we do preprocessing which is an important step. After preprocessing, Mirror extension inhibit the endpoint effect. Finally, using EMD decomposes the logarithmic amplitude spectrum of each segmentation and selecting different Intrinsic Mode Functions (IMF) which are smooth and continuous restructures the wavelet. The simulation results show that this method can implement the separation of seismic wavelet and reflection coefficient precisely. This paper lay a foundation for later high-precision extraction of seismic wavelet.},
     year = {2017}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - A Study of Time-varying Seismic Wavelet and Reflection Coefficient Separation Method Based on EMD and Smooth Filtering
    AU  - Lu Zi-hao
    AU  - Dai Yong-shou
    AU  - Gao Xu
    AU  - Zhang Peng
    AU  - Tan Yong-cheng
    AU  - Zhang Hong-qian
    Y1  - 2017/04/20
    PY  - 2017
    N1  - https://doi.org/10.11648/j.sd.20170502.16
    DO  - 10.11648/j.sd.20170502.16
    T2  - Science Discovery
    JF  - Science Discovery
    JO  - Science Discovery
    SP  - 118
    EP  - 128
    PB  - Science Publishing Group
    SN  - 2331-0650
    UR  - https://doi.org/10.11648/j.sd.20170502.16
    AB  - The accuracy of seismic wavelet extraction influences the accuracy of analysis and dealing for seismic data directly. In fact, the wavelet in seismic data has the characteristics of time-varying. There are many methods for wavelet extraction, but the results using existing methods are not satisfying. This paper studies a new method for the separation of seismic wavelet and reflection coefficient from seismic data using Empirical Mode Decomposition (EMD) which have the superiorities of adaptive decomposition and multi-scale analysis. Firstly, we cut the seismic data into different segmentations and regard each segmentation as stationary signals while combining the characteristics of wavelet and reflection coefficient based on the hypothesis of stationarity. Then, we do preprocessing which is an important step. After preprocessing, Mirror extension inhibit the endpoint effect. Finally, using EMD decomposes the logarithmic amplitude spectrum of each segmentation and selecting different Intrinsic Mode Functions (IMF) which are smooth and continuous restructures the wavelet. The simulation results show that this method can implement the separation of seismic wavelet and reflection coefficient precisely. This paper lay a foundation for later high-precision extraction of seismic wavelet.
    VL  - 5
    IS  - 2
    ER  - 

    Copy | Download

Author Information
  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • College of Information and Control Engineering, China university of Petroleum, Qingdao, China

  • Sections