Random noise reduction using a hybrid method based on ensemble empirical mode decomposition

Chen, W., Zhang, D. and Chen, Y., 2017. Random noise reduction using a hybrid method based on ensemble empirical mode decomposition. Journal of Seismic Exploration, 26: 227-249. We have proposed a novel hybrid random noise reduction method based on ensemble empirical mode decomposition (EEMD) and wavelet threshold filtering. Firstly, the frequency band ranges of effective signal and noise in the initial seismic data set are studied by Fourier spectrum analysis method. Secondly, we make use of EEMD method to obtain the intrinsic mode functions (IMFs) of each original noisy trace. Wavelet threshold filtering is then applied to the high frequency IMFs of each trace to acquire the new denoised high frequency IMFs. Finally, by stacking the filtered high frequency IMFs with the low frequency IMFs and the trend item, we can obtain the ultimately denoised seismic data set. The proposed approach is confirmed via two synthetic data examples and one field data example. The results demonstrate that the proposed approach can achieve much cleaner denoising performance without harming most useful signals.
- Beasley, C.J., Chambers, R.E. and Jiang, Z., 1998. A new look at simultaneous sources. Expanded
- Abstr., 68th Ann. Internat. SEG Mtg., New Orleans: 133-135.
- Berkhout, A.J., 2008. Changing the mindset in seismic data acquisition. The Leading Edge, 27: 924-
- Canales, L., 1984. Random noise reduction. Expanded Abstr., 54th Ann. Internat. SEG Mtg.,
- Atlanta: 525-527.
- Chen, Y., Zhou, C., Yuan, J. and Jin, Z., 2014. Application of empirical mode decomposition to
- random noise attenuation of seismic data. J. Seismic Explor., 23: 481-495.
- Chen, Y., 2016. Dip-separated structural filtering using seislet thresholding and adaptive empirical
- mode decomposition based dip filter. Geophys. J. Internat., 206: 457-469.
- Chen, Y., Ma, J. and Fomel, S., 2016. Double-sparsity dictionary for seismic noise attenuation.
- Geophysics, 81(2): V17-V30.
- Chen, Y. and Fomel, S., 2015. Random noise attenuation using local signal-and-noise
- orthogonalization. Geophysics, 80(6): WD1-WD9.
- Chen, Y. and Jin, Z., 2016. Simultaneously removing noise and increasing resolution of seismic data
- using waveform shaping. IEEE Geosci. Remote Sens. Lett., 13: 102-104.
- Chen, Y. and Ma, J., 2014. Random noise attenuation by fx empirical-mode decomposition
- predictive filtering. Geophysics, 79(3): V81-V91.
- Gan, S., Chen, Y., Zu, S., Qu, S. and Zhong, W., 2015. Structure-oriented singular value
- decomposition for random noise attenuation of seismic data. J. Geophys. Engineer. , 12: 262-
- Gan, S., Wang, S., Chen, Y., Chen, J., Zhong, W. and Zhang, C., 2016a. Improved random noise
- attenuation using fx empirical mode decomposition and local similarity. Appl. Geophys., 13:
- 127-134.
- Gan, S., Wang, S., Chen, Y., Chen, X. and Xiang, K., 2016b. Separation of simultaneous sources
- using a structural-oriented median filter in the flattened dimension. Comput. Geosci., 86:
- 46-54.
- Gan, S., Wang, S., Chen, Y., Qu, S. and Zu, S., 2016c. Velocity analysis of simultaneous- source
- data using high-resolution semblancecoping with the strong noise. Geophys. J. Internat. , 204:
- 768-779.
- Han, J. and Mirko, V., 2013. Empirical mode decomposition for seismic time-frequency analysis.
- Geophysics, 78(2): 09-019.
- Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tang, C.C.
- and Liu, H.H., 1998. The empirical mode decomposition and the Hilbert spectrum for
- nonlinear and non-stationary time series analysis. Proc. Roy. Soc. London. Series A:
- Mathemat., Phys., Engineer. Sci., 454: 903-995.
- Huang, W., Wang, R., Chen, Y., Li, H. and Gan, S., 2016. Damped multichannel singular
- spectrum analysis for 3D random noise attenuation. Geophysics, 81(4): V261-V270.
- Li, H., Wang, R., Cao, S., Chen, Y. and Huang, W., 2016. A method for low-frequency noise
- suppression based on mathematical morphology in microseismic monitoring. Geophysics,
- 81(3): V159-V 167.
- Liu, G., Fomel, S., Jin, L. and Chen, X., 2009. Stacking seismic data using local correlation.
- Geophysics, 74: V43-V48.
- RANDOM NOISE REDUCTION 249
- Liu, W., Cao, S., Chen, Y. and Zu, S., 2016a. An effective approach to attenuate random noise
- based on compressive sensing and curvelet transform. J. Geophys. Engineer., 13: 135-145.
- Liu, W., Cao, S. and Chen, Y., 2016b. Application of variational mode decomposition in random
- noise attenuation and time-frequency analysis of seismic data. Extended Abstr., 78th EAGE
- Conf., Vienna.
- Liu, W., Cao, S. and Chen, Y., 2016c. Applications of variational mode decomposition in seismic
- time-frequency analysis. Geophysics, 81(5): V365-V378.
- Liu, Y., 2013. Noise reduction by vector median filtering. Geophysics, 78: V79-V87.
- Mao, J. and Gao, J., 2006. On the denoising method of prestack seismic data in the wavelet domain.
- Expanded Abstr., 76th Ann. Internat. SEG Mtg., New Orleans: 25(1).
- Ulrych, T., Freire, J. and Siston, P., 1988. Eigenimage processing of seismic sections. Expanded
- Abstr., 58th Ann. Internat. SEG Mtg., Anaheim: 525-527.
- Wang, Y., 1999. Random noise attenuation using forward-backward linear prediction. J. Seismic
- Explor., 8: 133-142.
- Wu, Z. and Huang, N., 2009. Ensemble empirical mode decomposition: A noise-assisted data
- analysis method. Advan. Adapt. Data Anal., 1: 1-41.
- Xue, Z., Chen, Y., Fomel, S. and Sun, J., 2016. Seismic imaging of incomplete data and
- simultaneous-source data using least-squares reverse time migration with shaping
- regularization. Geophysics, 81: $11-S20.
- Yang, W., Wang, R., Chen, Y., Wu, J., Qu, S., Yuan, J. and Gan, S., 2015a. Application of
- spectral decomposition using regularized non-stationary autoregression to random noise
- attenuation. J. Geophys. Engineer., 12: 175-187.
- Yang, W., Wang, R., Wu, J., Chen, Y., Gan, S. and Zhong, W., 2015b. An efficient and effective
- common reflection surface stacking approach using local similarity and plane- wave
- flattening. J. Appl. Geophys., 117: 67-72.
- Yuan, S. and Wang, S., 2013. Edge-preserving noise reduction based on bayesian inversion with
- directional difference constraints. J. Geophys. Engineer., 10(2): 123-136.
- Yuan, S., Wang, S. and Li, G., 2012. Random noise reduction using bayesian inversion. J.
- Geophys. Engineer., 9: 60-68.
- Zhang, R. and Ulrych, T., 2003. Physical wavelet frame denoising. Geophysics, 68: 225- 231.
- Zu, S., Zhou, H., Chen, Y., Qu, S., Zou, X., Chen H. and Liu, R., 2016. A periodically varying
- code for improving deblending of simultaneous sources in marine acquisition. Geophysics,
- 81(3): V213-V225.