Fully automatic random noise attenuation using empirical wavelet transform

Chen, W., Song, H. and Chuai, X.Y., 2019. Fully automatic random noise attenuation using empirical wavelet transform. Journal of Seismic Exploration, 28: 147-162. Strong noise in seismic data seriously affects many steps in seismic data processing and imaging. While most traditional methods depend on carefully tuned input parameters by human, we are proposing an automatic noise attenuation algorithm to facilitate a fast preprocessing of massive prestack seismic data. In the proposed algorithm, the non-stationary seismic data is first adaptively decomposed into empirical components via empirical wavelet transform (EWT) according to the frequency contents in the data. Then, the first component is selected to represent the useful signals. This process can be implemented in a fully automatic way. We compare the decompositions from EWT and the empirical mode decomposition (EMD) and find that the EWT has a stronger capability in separating the useful signals and the random noise. We also test the proposed algorithm in both multi-channel synthetic and field data examples. The results demonstrate that the new adaptive method can obtain better denoising performance than the state-of-the-art methods.
- Abma, R. and Claerbout, J.,1995. Lateral prediction for noise attenuation by t—x and f—x
- techniques. Geophysics, 60: 1887-1896.
- Bai, M. and Wu, J., 2017,. Efficient deblending using median filtering without correct
- normal moveout - with comparison on migrated images. J. Seismic Explor., 26:
- 455-479.
- Bai, M. and Wu, J., 2018. Seismic deconvolution using iteartive transform-domain sparse
- inversion. J. Seismic Explor., 27: 103-116.
- Bai, M., Wu, J., Xie, J. and Zhang, D., 2018. Least-squares reverse time migration of
- blended data with low-rank constraint along structural direction. J. Seismic Explor.,
- 27: 29-48.
- Bekara, M. and van der Baan, M., 2007. Local singular value decomposition for signal
- enhancement of seismic data. Geophysics, 72: V59-V65.
- Canales, L., 1984. Random noise reduction. Expanded Abstr, 54th Ann. Internat. SEG
- Mtg., Atlanta: 525-527.
- Candés, E.J., Demanet, L., Donoho, D.L. and Ying, L., 2006. Fast discrete curvelet
- transforms. SIAM Multisc. Model. Simulat., 5: 861-899.
- 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., 2017. Fast dictionary learning for noise attenuation of multidimensional
- seismic data. Geophys. J. Internat., 209: 21-31.
- Chen, Y., 2018a. Automatic microseismic event picking via unsupervised machine
- learning. Geophys. J. Internat., 212: 88-102.
- Chen, Y., 2018b. Automatic velocity analysis using high-resolution hyperbolic Radon
- transform. Geophysis, 83(4): A53-A57.
- Chen, Y., 2018c. Non-stationary least-squares complex decomposition for microseismic
- noise attenuation. Geophys. J. Internat., 213: 1572-1585.
- Chen, Y., Chen, H., Xiang, K. and Chen, X., 2017. Preserving the discontinuities in least-
- squares reverse time migration of simultaneous-source data. Geophysics, 82(3).
- doi: 10.1190/GEO2016-0456.1.
- hen, Y., and Fomel, S., 2015. Random noise attenuation using local signal-and-noise
- orthogonalization. Geophysics, 80: WD1—WD9.
- hen, Y., 2018. EMD-seislet transform. Geophysics, 83(1): A27-A32.
- hen, Y., Fomel, S. and Hu, J., 2014. Iterative deblending of simultaneous-source
- seismic data using seislet-domain shaping regularization. Geophysics, 79(5):
- V179-V 189.
- Chen, Y., Huang, W., Zhou, Y., Liu, W. and Zhang, D., 2018. Plane-wave orthogonal
- polynomial transform for amplitude-preserving noise attenuation. Geophys. J.
- Internat., 214: 2207-2223.
- Chen, Y. and Ma, J., 2014. Random noise attenuation by f-x empirical mode
- decomposition predictive filtering. Geophysics, 79: V81—V91.
- Q
- Chen, Y., Ma, J. and Fomel, S., 2016a. Double-sparsity dictionary for seismic noise
- attenuation. Geophysics, 81: V17—V30.
- Chen, Y., Zhang, D., Jin, Z., Chen, X., Zu, S., Huang, W. and Gan, S., 2016b.
- Simultaneous denoising and reconstruction of 5D seismic data via damped
- rank-reduction method. Geophys. J. Internat., 206: 1695-1717.
- Donoho, D.L. and Johnstone, LM., 1994. Ideal spatial adaptation by wavelet shrinkage:
- Biometrika, 81: 425-455.
- Fomel, S. and Liu, Y., 2010. Seislet transform and seislet frame. Geophysics, 75:
- V25-V38.
- Gan, S., Chen, Y., Wang, S., Chen, X., Huang, W. and Chen, H., 2016a. Compressive
- sensing for seismic data reconstruction using a fast projection onto convex sets
- algorithm based on the seislet transform. J. Appl. Geophys., 130: 194-208.
- Gan, S., Chen, Y., Zu, S., Qu, S. and Zhong, W., 2015a. Structure-oriented singular value
- decomposition for signal enhancement of seismic data. J. Geophys. Engineer., 12:
- 262-272.
- Gan, S., Wang, S., Chen, Y., Chen, J., Zhong, W. and Zhang, C., 2016b. Improved
- random noise attenuation using fx empirical mode decomposition and local
- similarity. Appl. Geophys., 13: 127-134.
- Gan, S., Wang, S., Chen, Y. and Chen, X., 2016c. Simultaneous-source separation using
- iterative seislet-frame thresholding. IEEE Geosci. Remote Sens. Lett., 13: 197-201.
- Gan, S., Wang, S., Chen, Y., Chen, X. and Xiang, K., 2016d. 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., 2016e. Velocity analysis of
- simultaneous-source data using high-resolution semblance-coping with the strong
- noise. Geophys. J. Internat., 204: 768-779.
- Gan, S., Wang, S., Chen, Y., Zhang, Y. and Jin, Z., 2015b. Dealiased seismic data
- interpolation using seislet transform with low-frequency constraint. IEEE Geosci.
- Remote Sens. Lett., 12: 2150-2154.
- Gao, J., Mao, J., Chen, W. and Zheng, Q., 2006. On the denoising method of prestack
- seismic data in wavelet domain. Chin. J. Geophys., 49: 1155-1163.
- Gilles, J., 2013. Empirical wavelet transform. IEEE Transact. Sign. Process., 61:
- 3999-4010.
- Li, H., Wang, R., Cao, S., Chen, Y. and W. Huang, W., 2016a. A method for
- low-frequency noise suppression based on mathematical morphology in
- microseismic monitoring. Geophysics, 81(3), V159-V 167.
- Li, H., Wang, R., Cao, S., Chen, Y., Tian, N. and Chen, X., 2016b. Weak signal detection
- using multiscale morphology in microseismic monitoring. J. Appl. Geophys., 133:
- 39-49.
- Liu, G. and Chen, X., 2013. Noncausal f-x-y regularized nonstationary prediction
- filtering for random noise attenuation on 3D seismic data. J. Appl. Geophys., 93:
- 60-66.
- Liu, G., Chen, X., Du, J. and Song, J., 2011. Seismic noise attenuation using
- nonstationary polynomial fitting. Appl. Geophys., 8: 18-26.
- Liu, W., Cao, S. and Chen, Y., 2016a. Applications of variational mode decomposition in
- seismic time-frequency analysis. Geophysics, 81(5): V365-V378.
- Liu, W., Cao, S. and Chen, Y., 2016b. Seismic time-frequency analysis via empirical
- wavelet transform. IEEE Geosci. Remote Sens. Lett., 13: 28-32.
- Liu, W., Cao, S., Chen, Y. and Zu, S., 2016c. An effective approach to attenuate random
- noise based on compressive sensing and curvelet transform. J. Geophys. Engineer.,
- 13: 135-145.
- Liu, W., Cao, S., Gan, S., Chen, Y., Zu, S. and Jin, Z., 2016d. One-step slope estimation
- or dealiased seismic data reconstruction via iterative seislet thresholding. IEEE
- Geosci. Remote Sens. Lett., 13: 1462-1466.
- Liu, W., Cao, S., Liu, Y. and Chen, Y., 2016e. Synchrosqueezing transform and its
- applications in seismic data analysis. J. Seismic Explor., 25: 27-44.
- Liu, W., Cao, S., Wang, Z., Kong, X. and Chen, Y., 2017. Spectral decomposition for
- hydrocarbon detection based on YMD and Teager-Kaiser energy. IEEE Geosci.
- Remote Sens. Lett., 14: 539-543.
- Neelamani, R., Baumstein, A., Gillard, D., Hadidi, M. and Soroka, W., 2008. Coherent
- and random noise attenuation using the curvelet transform. The Leading Edge, 27:
- 240-248.
- Qu, S., Zhou, H., Chen, Y., Yu, S., Zhang, H., Yuan, J., Yang, Y. and Qin, M., 2015. An
- effective method for reducing harmonic distortion in correlated vibroseis data. J.
- Appl. Geophys., 115: 120-128.
- Qu, S., Zhou, H., Liu, R., Chen, Y., Zu, S., Yu, S., Yuan, J. and Yang, Y., 2016.
- Deblending of simultaneous-source seismic data using fast iterative
- shrinkage-thresholding algorithm with firm-thresholding. Acta Geophys., 64:
- 1064-1092.
- Siahsar, M.A.N., Abolghasemi, V. and Chen, Y., 2017. Simultaneous denoising and
- interpolation of 2D seismic data using data-driven non-negative dictionary learning.
- Sign. Process., 141: 309-321.
- Wang, Y., Zhou, H., Zu, S., Mao, W. and Chen, Y., 2017. Three-operator proximal
- splitting scheme for 3D seismic data reconstruction. IEEE Geosci. Remote Sens.
- Lett., 14: 1830-1834.
- Wu, G., Fomel, S. and Chen, Y., 2018. Data-driven time-frequency analysis of seismic
- data using non-stationary prony method. Geophys. Prosp., 66: 85-97.
- Wu, J. and Bai, M., 2018. Incoherent dictionary learning for reducing crosstalk noise in
- least-squares reverse time migration. Comput. Geosci., 114: 11-21.
- Wu, J., Wang, R., Chen, Y., Zhang, Y., Gan, S. and Zhou, C., 2016. Multiples attenuation
- using shaping regularization with seislet domain sparsity constraint. J. Seismic
- Explor., 25: 1-9.
- Xie, J., Di, B., Schmitt, D., Wei, J. and Chen, Y., 2018. Estimation of 6 and cl3 of
- organic-rich shale from laser ultrasonic technique (LUT) measurement. Geophysics,
- 83(4): C137-C152.
- Xue, Y., Chang, F., Zhang, D. and Chen, Y., 2016a. Simultaneous sources separation via
- an iterative rank-increasing method. IEEE Geosci. Remote Sens. Lett., 13:
- 1915-1919.
- Xue, Y., Man, M., Zu, S., Chang, F. and Chen, Y., 2017. Amplitude-preserving iterative
- deblending of simultaneous source seismic data using high-order radon transform.
- J. Appl. Geophys., 139: 79-90.
- Xue, Y., Yang, J., Ma, J. and Chen, Y., 2016b. Amplitude-preserving nonlinear adaptive
- multiple attenuation using the high-order sparse radon transform. J. Geophys.
- Engineer., 13: 207-219.
- Yang, W., Wang, R., Wu, J., Chen, Y., Gan, S. and Zhong, W., 2015. An efficient and
- effective common reflection surface stacking approach using local similarity and
- plane-wave flattening. J. Appl. Geophys., 117: 67-72.
- Yang, Y., Li, D., Tong, T., Zhang, D., Zhou, Y. and Chen, Y., 2018. Denoising
- controlled-source electromagnetic data using least-squares inversion. Geophysics,
- 83(4): E229-E244.
- Zhang, D., Chen, Y., Huang, W. and S. Gan, S., 2016. Multi-step damped multichannel
- singular spectrum analysis for simultaneous reconstruction and denoising of 3D
- seismic data. J. Geophys. Engineer., 13: 704-720.
- Zhang, R. and Ulrych, T., 2003. Physical wavelet frame denoising. Geophysics, 68:
- 225-231.
- Zhao, Q., Du, Q., Gong, X. and Chen, Y., 2018. Signal-preserving erratic noise
- attenuation via iterative robust sparsity-promoting filter. IEEE Transact. Geosci.
- Remote Sens., 56: 1558-1564.
- Zhong, W., Chen, Y., Gan, S. and Yuan, J., 2016. Li. norm regularization for 3D seismic
- data interpolation. J. Seismic Explor., 25: 257-268.
- Zhou, Y., Li, S., Zhang, D. and Chen, Y., 2018. Seismic noise attenuation using an online
- subspace tracking algorithm. Geophys. J. Internat., 212: 1072-1097.
- Zhou, Y., Shi, C., Chen, H., Xie, J., Wu, G. and Chen, Y., 2017. Spike-like blending
- noise attenuation using structural low-rank decomposition. IEEE Geosci. Remote
- Sens. Lett., 14: 1633-1637.
- Zu, S., Zhou, H., Chen, H., Zheng, H. and Chen, Y., 2017a. Two field trials for
- deblending of simultaneous source surveys: why we failed and why we succeeded? J.
- Appl. Geophys., 143: 182-194.
- Zu, S., Zhou, H., Chen, Y., Qu, S., Zou, X., Chen, H. and Liu, R., 2016a. A periodically
- varying code for improving deblending of simultaneous sources in marine
- acquisition. Geophysics, 81: V213-V225.
- Zu, S., Zhou, H., Chen, Y., Pan, X., Gan, S. and Zhang, D., 2016b. Interpolating big gaps
- using inversion with slope constraint. IEEE Geosci. Remote Sens. Lett., 13:
- 1369-1373.
- Zu, S., Zhou, H., Li, Q., Chen, H., Zhang, Q., Mao, W. and Chen, Y., 2017b.
- Shot-domain deblending using least-squares inversion. Geophysics, 82(4):
- V241-V256.
- Zu, S., Zhou, H., Mao, W., Zhang, D., Li, C., Pan, X. and Chen, Y., 2017c. Iterative
- deblending of simultaneous-source data using a coherency-pass shaping operator.
- Geophys. J. Internat., 211: 541-557.