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Earthquake accelerogram denoising by wavelet-based variational mode decomposition

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Abstract

Earthquake acceleration time chronicles records are important sources of information in the field of tremor engineering and engineering seismology. High frequency noise could considerably reduce P phase picking accuracy and the time. Accurate detection of P phase and onset time arrival picking is very important for the earthquake signal analysis and prediction problem. Large number of those records are defiled with noise so appropriate denoising method is impulse for the exact investigation of the information. Polish off of non-stationary and high energy noise from the recorded signal is challenging with preservation of original features. In this paper, we propose a method to denoise the signal based on variational mode decomposition and continuous wavelet transform. Noisy signal is disintegrated into intrinsic mode function by variational mode decomposition. The probability density function of noisy signal and each intrinsic mode functions is calculated using Kernel density estimation and then Manhattan distance. The probability density function helps us to identify the relevant mode and high frequency noisy intrinsic mode functions, so the continuous wavelet transform is applied to the selected mode. We observed the effect of noise and denoising method on parameters like acceleration and displacement response spectra. The experiments on synthetic and real earthquake accelerograms validate ameliorate result of the proposed method.

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References

  • Ansari A, Noorzad A, Zafarani A, Hessam V (2010) Correction of highly noisy strong motion records using a modified wavelet de-noising method. Soil Dyn Earthq Eng: 1168–1181

  • Beena M, Prabavathy S, Mohanalin J (2012) Wavelet based seismic signal de-noising using Shannon and Tsallis entropy. Computers and Mathematics with Applications 64:3580–3593

    Article  Google Scholar 

  • Beena M, Mohanalin J, Prabavathy S, Jordina T (2016) A novel wavelet seismic denoising method using type II fuzzy. Appl Soft Comput 48:507–521

    Article  Google Scholar 

  • Bekara M, Baan M (2009) Random and coherent noise attenuation by empirical mode decomposition. Geophysics 74(5):89–98

    Article  Google Scholar 

  • Carter JA, Barstow N, Pomeroy PW, Chael EP, Leahy PJ (1991) High frequency seismic noise as a function of depth. Bull Seismal Soc Am 81(4):1101–1114

    Google Scholar 

  • Chen Y, Ma J, Fomel S (2016) Double-sparsity dictionary for seismic noise attenuation. Geophysics 81(2):17–30

    Google Scholar 

  • Chen Y, Gan D, Liu T, Yuan J, Zhang Y, Jin Z (2015) Random noise attenuation by a selective hybrid approach using empirical mode decomposition. J Geophys Eng 12:12–25

    Article  Google Scholar 

  • Daubechies I, Heil C (1992) Ten lectures on wavelets. Computers in physics: AIP Publishing

  • Daubechies I, Lu J, Hau T (2011) Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Appl Comput Harmon Anal 30:243–261

    Article  Google Scholar 

  • Dragomiretskiy K, Zosso D (2014) Variational mode decomposition. IEEE Trans Signal Process 62(3):531–544

    Article  Google Scholar 

  • Han J, Baan M (2013) Empirical mode decomposition for seismic time-frequency analysis. Geophysics 78(2):9–19

    Article  Google Scholar 

  • Huang N, Shen Z, Long S, Wu M, Shih H, Zheng Q, Yen N, Tung C, Liu H (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proceedings The Royal Society 454(1971)

  • Herranz J, Sergio M, Botella F (2003) De-noising of short-period seismograms by wavelet packet transform. Bull Seismol Soc Am 93(6):2554–2562

    Article  Google Scholar 

  • Karamzadel N, Doloei G, Reza A (2013) Automatic earthquake signal onset picking based on the continuous wavelet transform. IEEE Trans Geosci Remote Sens 51(5):2666–2674

    Article  Google Scholar 

  • Komaty A, Boudraa AQ, Augier B, Dare-Emzivat D (2014) EMD Based filtering using similarity measure between probability density functions of IMFs - IEEE transactions on intrumention and measurement 63:27–34

  • Guo Y, Kareem A (2016) Generation of artificial earthquake records with a non stationary Kanai - Tamiji model. Eng Struct 23(7):827–837

    Google Scholar 

  • Liu W, Cao S, Wang Z (2017) Application of variational mode decomposition to seismic random noise reduction. J. Geophys Eng 14(4):888–899

    Article  Google Scholar 

  • Martin R (2001) Noise power spectral density estimation based on optimal smoothing and minimum statistics. IEEE Transactions on Speech and Audio Processing 9:504–512

    Article  Google Scholar 

  • Murphy AJ, Savino JR (1975) A comprehensive study of long period (20-200 s) Earth noise at the high gain worldwide seismograph stations. Bull Seismol Soc Am 65:1827–1862

    Google Scholar 

  • Raghu K (2010) Intrinsic mode function of earthquake slip distribution. World Scientific. Adv Adapt Data Anal 2:193–215

    Article  Google Scholar 

  • Rofooei FR, Aghababaii M, Ahmadi G (2001) Generation of artificial earthquake records with a nonstationary Kanai–Tajimi model. Eng Struct 23,7:827–837

    Article  Google Scholar 

  • Torres M, Colominas M, Schlotthauer G, Flandrin P (2011) A complete ensemble empirical mode decomposition with adaptive noise. In: IEEE international conference on acoustic speech and signal processing, pp 4144–4147

  • Wu Z, Huang N (2009) Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv Adapt Data Anal 1(1):1–49

    Article  Google Scholar 

  • Yan F, Dong W, Ji W, Qing P, Zhu L (2009) Entropy-based wavelet de-noising method for time series analysis. Entropy 11:1123–1147

    Article  Google Scholar 

  • Young ChJ, Chael EP, Withers MW, Aster RC (1996) A comparison of the high- frequency (> 1 H z) surface and subsurface noise environment at three sites in the United States. Bull Seism Soc Am 86, 5:1516–1528

    Google Scholar 

  • Yu S, Ma J (2017) Complex variational mode decomposition for slop preserving denoising. IEEE Trans Geosci Remote Sens 99:1–12

    Google Scholar 

  • Zurn W, Wielandt E (2007) On the minimum of vertical seismic noise near 3 mHz. Geophys J Int 168:647–658

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the Department of Mine and Geology, Nepal, for providing the real earthquake accelerogram data, and thank to Wenlong Wang and Yuhan Shui for the helpful discussions.

Funding

This study is supported in part by National Key Research and Development Program of China under Grant 2017YFB0202900, NSFC under Grant 41625017 and 41804102.

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Correspondence to Siwei Yu.

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Banjade, T.P., Yu, S. & Ma, J. Earthquake accelerogram denoising by wavelet-based variational mode decomposition. J Seismol 23, 649–663 (2019). https://doi.org/10.1007/s10950-019-09827-0

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