Application of Single-Frequency Time-Space Filtering Technique for Seismic Ground Roll and Random Noise Attenuation


Assistant Professor, Department of Petroleum and Geophysics, Faculty of Mining, Petroleum and Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran


Time-frequency filtering is an acceptable technique for attenuating noise in 2-D (time-space) and 3-D (time-space-space) reflection seismic data. The common approach for this purpose is transforming each seismic signal from 1-D time domain to a 2-D time-frequency domain and then denoising the signal by a designed filter and finally transforming back the filtered signal to original time domain. The technique is efficient for ground roll and also random noise attenuation. However, if we deal with a large data set and a great number of contaminated signals with ground roll noise, a much move consuming time will be required. In this paper, time-frequency filtering is formulated and carried out by a different approach. The data is transformed from original time-space domain into several single-frequency time-space domains, and the filters to reduce noise is designed in the new domains. The transform is easily and completely invertible. The employed time frequency analysis method is a high-resolution version of S-transform. Application to synthetic and real shot gathers confirms the good performance and efficiency of the method for attenuating ground roll noise and random noise.


Main Subjects

Al-Husseini, M. I., Glover, J. B. and Barley, B. J., 1981, Dispersion patterns of the ground roll in eastern Saudi Arabia, Geophys., 46, 121-137.
Askari, R. and Siahkoohi, H. R., 2008, Ground roll attenuation using the S and x-f-k transforms. Geophys. Prospect, 56, 105-114.
Bekara, M. and van der Baan, M., 2009, Random and coherent noise attenuation by empirical mode decomposition. Geophys, 74, V89-V98.
Deighan, A. J. and Watts, D. R., 1997, Ground-roll suppression using the wavelet transform. Geophys, 62, 1896-1903.
Gabor, D., 1946, Theory of communication. J. Inst. Electr. Eng., 93, 429–457.
Jiao, S., Chen, Y., Bai, M., Yang, W., Wang, E. and Gan, S., 2015, Ground roll attenuation using non-stationary matching filtering. J. Geophys. Eng., 12, 922.
Knapp, R. W. and Steeples, D. W., 1986, High-resolution common-depth-point reflection profiling: field acquisition parameter design. Geophys., 51, 283-294.
Liu, G., Fomel, S. and Chen, X., 2011, Time-frequency analysis of seismic data using local attributes. Geophysics, 76, P23-P34.
Liu, X., 1999, Ground roll suppression using the Karhunen-Loeve transform. Geophys., 64, 564-566.
Liu, Y. and Fomel, S., 2013, Seismic data analysis using local time-frequency decomposition. Geophysical Prospecting, 61, 516-525.
Mallat, S., 1999, A Wavelet Tour of Signal Processing. Second ed., Academic Press, San Diego, California.
Montagne, R. and Vasconcelos, G. L., 2006, Optimized suppression of coherent noise from seismic data using the karhunen-Loeve transform. Phys. Rev. E., 74, 1-9.
Porsani, M. J., Silva, M. G., Melo, P. E. M. and Ursin, B., 2010, SVD filtering applied to ground-roll attenuation. J. Geophys. Eng., 7, 284.
Radad, M., Gholami, A. and Siahkoohi, H. R., 2015, S-transform with maximum energy concentration: application to non-stationary seismic deconvolution. J. Appl. Geophys., 118, 155-166.
Radad, M., Gholami, A. and Siahkoohi, H. R., 2016, A fast method for generating high-resolution single-frequency seismic attributes. J. Seism. Explor., 25, 11-25.
Stockwell, R. G., Mansinha, L. and Lowe, R., 1996, Localization of the complex spectrum: The S-transform. IEEE Trans. Sig. Process., 44, 998-1001.
Tartham, R. H., Keeney, J. W. and Noponen, I., 1983, Application of the tau-p transform (slant-stack) in processing seismic reflection data. Explor. Geophys., 14, 163-172.
Wang, Y., 2010, Multichannel matching pursuit for seismic trace decomposition. Geophys., 75, V61-V66.
Wiggins, R. A., 1966, W-K filter design. Geophys. Prospect., 14, 427-440.
Wu, X., and Liu, T., 2009, Spectral decomposition of seismic data with reassigned smoothed pseudo Wigner-Ville distribution. J. Appl. Geophys., 68, 386-393.
Yarham, C., Boeniger, U. and Herrmann, F. J., 2006, Curvelet-based ground roll removal. 76th Annual International Meeting, SEG, 2777-2780.
Yilmaz, O., 2001, Seismic data analysis. SEG, Tulsa, OK.