Skip to main content
Log in

Microseismic signal denoising by combining variational mode decomposition with permutation entropy

  • Signal Processing
  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

Remarkable progress has been achieved on microseismic signal denoising in recent years, which is the basic component for rock-burst detection. However, its denoising effectiveness remains unsatisfactory. To extract the effective microseismic signal from polluted noisy signals, a novel microseismic signal denoising method that combines the variational mode decomposition (VMD) and permutation entropy (PE), which we denote as VMD—PE, is proposed in this paper. VMD is a recently introduced technique for adaptive signal decomposition, where K is an important decomposing parameter that determines the number of modes. VMD provides a predictable effect on the nature of detected modes. In this work, we present a method that addresses the problem of selecting an appropriate K value by constructing a simulation signal whose spectrum is similar to that of a mine microseismic signal and apply this value to the VMD—PE method. In addition, PE is developed to identify the relevant effective microseismic signal modes, which are reconstructed to realize signal filtering. The experimental results show that the VMD—PE method remarkably outperforms the empirical mode decomposition (EMD)—VMD filtering and detrended fluctuation analysis (DFA)—VMD denoising methods of the simulated and real microseismic signals. We expect that this novel method can inspire and help evaluate new ideas in this field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bandt, C., and Pompe, B., 2002, Permutation Entropy: A Natural Complexity Measure for Time Series: Physical Review Letters, 88(17), 1–4.

    Article  Google Scholar 

  • Cai, D., Zhong, Q., Yongsheng, Z., Liao, J., and Han, M., 2021, EEG Emotion Recognition Using Convolutional Neural Network with 3D Input: Computer Engineering and Applications, 57(5), 161–167.

    Google Scholar 

  • Cao, Y., Tung, W. wen, Gao, J.B., Protopopescu, V.A., and Hively, L.M., 2004, Detecting dynamical changes in time series using the permutation entropy: Physical Review E — Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 70(4), 046217.

    Article  Google Scholar 

  • Chen, D., Zhang, Y., Yao, C., Sun, F., and Zhou, N., 2018, Fault Diagnosis Based on FVMD Multi-scale Permutation Entropy and GK Fuzzy Clustering: Jixie Gongcheng Xuebao/Journal of Mechanical Engineering, 54(14), 16–27.

    Article  Google Scholar 

  • Dragomiretskiy, K., and Zosso, D., 2014, Variational mode decomposition: IEEE Transactions on Signal Processing, 62(3), 531–544.

    Article  Google Scholar 

  • Gan, S.W., Wang, S.D., Chen, Y.K., Chen, J.L., Zhong, W., and Zhang, C.L., 2016, Improved random noise attenuation using f-x empirical mode decomposition and local similarity: Applied Geophysics, 13(1), 127–134.

    Article  Google Scholar 

  • Hu, A., Sun, J., and Xiang, L., 2011, Mode Mixing in Empirical Mode Decomposition: Journal of Vibration, Measurement & Diagnosis, 31(4), 429–434.

    Google Scholar 

  • Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Snin, H.H., Zheng, Q., Yen, N.C., Tung, C.C., and Liu, H.H., 1998, The empirical mode decomposition and the Hubert spectrum for nonlinear and non-stationary time series analysis: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454(1971), 903–995.

    Article  Google Scholar 

  • Jia, R., Liang, Y., Hua, Y., Sun, H., and Xia, F., 2016, Suppressing non-stationary random noise in microseismic data by using ensemble empirical mode decomposition and permutation entropy: Journal of Applied Geophysics, 133, 132–140.

    Article  Google Scholar 

  • Jia, R., Zhao, T., Sun, H., and Yan, X., 2015, Microseismic signal denoising method based on empirical mode decomposition and independent component analysis: Chinese Journal of Geophysics, 58(3), 1013–1023.

    Google Scholar 

  • Liang, Z., Peng, S., and Zheng, J., 2014, LEMD endpoint extension method and the application in microseismic signal denoising: Journal of Vibration and Shock, 33(21), 155–160.

    Google Scholar 

  • Linderhed, A., 2009, Image Empirical Mode Decomposition: A New Tool For Image Processing: Advances in Adaptive Data Analysis, 1(2), 265–294.

    Article  Google Scholar 

  • Liu, J., Quan, H., Yu, X., He, K., and Li, Z., 2019a, Rolling Bearing Fault Diagnosis Based on Parameter Optimization VMD and Sample Entropy: Acta Automatica Sinica, 1–12.

  • Liu, Y., Yang, G., Li, M., and Yin, H., 2016, Variational mode decomposition denoising combined the detrended fluctuation analysis: Signal Processing, 125, 349–364.

    Article  Google Scholar 

  • Liu, C., Yang, Z., Shi, Z., Ma, J., and Cao, J., 2019b, A gyroscope signal denoising method based on empirical mode decomposition and signal reconstruction: Sensors (Switzerland), 19(23), 5064.

    Article  Google Scholar 

  • Liu, N., Zhang, R., Su, Z., Fu, G., and He, J., 2020, Research on Wavelet Threshold Denoising Method for UWB Tunnel Personnel Motion Location: Mathematical Problems in Engineering, 2020, 1–14.

    Google Scholar 

  • Long, L., Wen, X., and Lin, Y., 2021, Denoising of seismic signals based on empirical mode decomposition-wavelet thresholding: JVC/Journal of Vibration and Control, 27(3–4), 311–322.

    Article  Google Scholar 

  • Morabito, F.C., Labate, D., La Foresta, F., Bramanti, A., Morabito, G., and Palamara, I., 2012, Multivariate multi-scale permutation entropy for complexity analysis of Alzheimer’s disease EEG: Entropy, 14(7), 1186–1202.

    Article  Google Scholar 

  • Pandey, P., and Seeja, K.R., 2019, Subject independent emotion recognition from EEG using VMD and deep learning: Journal of King Saud University-Computer and Information Sciences.

  • Shi, P., Wang, J., Wen, J., and Tian, G., 2016, Study on Rotating Machinery Fault Diagnosis Method Based on Envelopes Fitting Algorithms EMD: Acta Metrologica Sinica, 37(1), 62–66.

    Google Scholar 

  • Tiwari, R., Gupta, V.K., and Kankar, P.K., 2015, Bearing fault diagnosis based on multi-scale permutation entropy and adaptive neuro fuzzy classifier: JVC/Journal of Vibration and Control, 21(3), 461–467.

    Article  Google Scholar 

  • Wang, T., Zhang, M., Yu, Q., and Zhang, H., 2012, Comparing the applications of EMD and EEMD on time-frequency analysis of seismic signal: Journal of Applied Geophysics, 83, 29–34.

    Article  Google Scholar 

  • Xia, Y., Zhang, B., Pei, W., and Mandic, D.P., 2019, Bidimensional Multivariate Empirical Mode Decomposition with Applications in Multi-Scale Image Fusion: IEEE Access, 7, 114261–114270.

    Article  Google Scholar 

  • Yang, G., Liu, Y., Wang, Y., and Zhu, Z., 2015, EMD interval thresholding denoising based on similarity measure to select relevant modes: Signal Processing, 109, 95–109.

    Article  Google Scholar 

  • Yang, H., and Zhu, X. an, 2017, A Harmonic Detection Method Based on VMD and Wavelet Threshold: Computer Integrated Manufacturing Systems, 34(8), 3–7.

    Google Scholar 

  • Yao, W.P., Liu, T.B., Dai, J.F., and Wang, J., 2014, Multiscale permutation entropy analysis of electroencephalogram: Wuli Xuebao/Acta Physica Sinica, 63(7), 1–7.

    Google Scholar 

  • Yi, W., Liu, L., Yan, L., and Dong, B., 2020, Vibration signal de-noising based on improved EMD algorithm: Explosion and Shock Waves, 40(9), 1–11.

    Google Scholar 

  • Zhang, X.L., Jia, R.S., Lu, X.M., Peng, Y.J., and Zhao, W.D., 2018, Identification of blasting vibration and coal-rock fracturing microseismic signals: Applied Geophysics, 15(2), 280–289.

    Article  Google Scholar 

  • Zhang, S., and Li, Y., 2020, Seismic exploration desert noise suppression based on complete ensemble empirical mode decomposition with adaptive noise: Journal of Applied Geophysics, 180, 104055.

    Article  Google Scholar 

  • Zhang, X., Liang, Y., Zhou, J., and Zang, Y., 2015, A novel bearing fault diagnosis model integrated permutation entropy, ensemble empirical mode decomposition and optimized SVM: Measurement: Journal of the International Measurement Confederation, 69, 164–179.

    Article  Google Scholar 

  • Zhang, L., Xu, W., Jing, L., and Tan, J., 2020, Fault Diagnosis of Rotating Machinery Based on EMD-SVD and CNN: Journal of Vibration, Measurement & Diagnosis, 40(6), 388–392.

    Google Scholar 

  • Zhao, L.Y., Wang, L., and Yan, R.Q., 2015, Rolling bearing fault diagnosis based on wavelet packet decomposition and multi-scale permutation entropy: Entropy, 17(9), 6447–6461.

    Article  Google Scholar 

  • Zheng, J., Cheng, J., and Yang, Y., 2013, Multi-scale Permutation Entropy and Its Applications to Rolling Bearing Fault Diagnosis: China Mechanical Engineering, 24(19).

  • Zhu, Q., Jiang, F., Wei, Q., Wang, B., Liu, J., and Liu, X., 2018, An automatic method determining arrival times of microseismic P-phase in hydraulic fracturing of coal seam: Chinese Journal of Rock Mechanics and Engineering, 37(10).

  • Zhu, Q., Jiang, F., Yu, Z., Yin, Y., and Lu, L., 2012, Study on energy distribution characters about blasting vibration and rock fracture microseismic signal: Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering, 31(4), 723–730.

    Google Scholar 

Download references

Acknowledgments

The authors express their gratitude to the reviewers for their constructive comments.

Funding

The work was supported by the National Natural Science Foundation of China (No.51904173), Shandong Provincial Natural Science Foundation (No. ZR2018MEE008) and the Project of Shandong Province Higher Educational Science and Technology Program (No. J18KA307).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhang Xing-Li.

Additional information

Zhang Xing-Li, associate professor, received her M.Eng. in Computer Software and Theory from Taiyuan University of Technology in 2005. She received her Ph.D. in Computer Science and Technology from Shandong University of Technology in 2010. Currently working in the School of Computer Science and Engineering of Shandong University of Science and Technology, she is committed to the research of microseismic signal processing, multi-source data fusion, and rockburst monitoring and early warning. Email: xlzhang_only@163.com

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xing-Li, Z., Lian-Yue, C., Yan, C. et al. Microseismic signal denoising by combining variational mode decomposition with permutation entropy. Appl. Geophys. 19, 65–80 (2022). https://doi.org/10.1007/s11770-022-0926-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-022-0926-6

Keywords

Navigation