SVD polarization filter taking into account the planarity of ground roll energy
Keywords:
Multicomponent seismic, Seismic attributes, Surface waves, Polarization filtering
Abstract
In real seismic acquisition, the presence of non-planar displacements for surface waves (due for example to scattering) is a common feature. Most polarization filters work on a preferential plane, under the assumption that ground roll displacements can be well represented on a two dimensional projection. In the case of Singular Value Decomposition (SVD), this plane is defined by the two first eigen-images. However, the results we obtained show that in the presence of non-planar energy this assumption does not work properly, and it is necessary to locally decide whether the third SVD value must be included. In this work, planar energy is measured for each time window by a rectilinearity attribute along the second main axis defining a new “planarity criterion” that determines the number of eigen-images that must be filtered. This modified filter was applied to two real 2D3C data sets acquired in Colombia to improve the performance of the ground-roll 3C filtering and was used to characterize the complex particle motion within the ground-roll cone.
References
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Askari, R. & Siahkoohi, H. R. (2008). Ground roll attenuation using the S and x‐f‐k transforms. Geophysical Prospecting, 56(1), 105-114.
Bobbit, J. I. (1984). Three-component Rayleigh wave filter. 54 Ann. Internat. Mtg., Soc. Expl.: Geophysics. S23.8, 772-775.
Chiu, S., Whitmore, N. & Gurch, M. (2007). Polarization filter by eigenimages and adaptive subtraction to attenuate surface-wave noise. Proc. CSPG CSEG CWLS Conv, 445-449.
Chiu, S. K. & Howell, J. E. (2008). Attenuation of coherent noise using localized-adaptive eigenimage filter. In 2008 SEG Annual Meeting. Society of Exploration Geophysicists.
De Franco, R. & Musacchio, G. (2001). Polarization filter with singular value decomposition. Geophysics, 66, 932–938.
De Meersman, K. & Kendall, R. (2005). A complex SVD-polarization filter for ground roll attenuation on multi-component data. In 67th EAGE Conference & Exhibition.
De Meersman, K., Van Der Baan, M. & Kendall, J. M. (2006). Signal extraction and automated polarization analysis of multicomponent array data. Bulletin of the Seismological Society of America, 96(6), 2415-2430.
De Meersman, K. (2008). Ground Roll polarization filtering with spatial smoothness constraints. In 2008 SEG Annual Meeting. Society of Exploration Geophysicists.
Donno, D., Spagnolini, U. & Nehorai, A. (2006). Seismic shape parameters estimation and ground-roll suppression using vector-sensor beamforming. In OCEANS 2006 (pp. 1-6). IEEE.
Flinn, E. A. (1965). Signal analysis using rectilinearity and direction of particle motion. Proceedings of the IEEE, 53(12), 1874-1876.
Friedlander, B. & Porat, B. (1984). The modified Yule-Walker method of ARMA spectral estimation. Aerospace and Electronic Systems, IEEE Transactions on, (2), 158-173.
Jackson, G. M., Mason, I. M. & Greenhalgh, S. A. (1991). Principal component transforms of triaxial recordings by singular value decomposition. Geophysics, 56(4), 528-533.
Jin, S. & Ronen, S. (2005). Ground roll detection and attenuation by 3C polarization analysis. 67th Annual Conference and Exhibition, EAGE. Madrid, España.
Jurkevics, A. (1988). Polarization analysis of three-component array data. Bulletin of the Seismological Society of America, 78(5), 1725-1743.
Kendall, R., Jin, S., Ronen, S. & De Meersman, K. (2005). An SVD-polarization filter for ground roll attenuation on multicomponent data. In EAGE/SEG Research Workshop-Multicomponent Seismic-Past, Present and Future.
Kragh, E. & Peardon, L. (1995). Ground roll and polarization. First Break, 13(9).
Mars, J., Glangeaud, J. L. & Mari, J. L. (2004). Advanced signal processing tools for dispersive waves. Near-surface Geophysics, 199-210.
Perelberg, A. I. & Hornbostel, S. C. (1994). Applications of seismic polarization analysis. Geophysics, 59(1), 119-130.
Pinnegar, C. R. (2006). Polarization analysis and polarization filtering of three-component signals with the time—frequency S transform. Geophysical Journal International, 165(2), 596-606.
Plessix, R. É. & Pérez C. A. (2015). Modified surface boundary conditions for elastic waveform inversion of low-frequency wide-angle active land seismic data. Geophysical Journal International, 201(3), 1324-1334.
Samson, J. C. & Olson, J. V. (1981). Data-adaptive polarization filters for multichannel geophysical data. Geophysics, 46(10), 1423-1431.
Sheriff, R. E. (2002). Encyclopedic dictionary of applied geophysics. Society of Exploration Geophysicists.
Shieh, C. F. & Herrmann, R. B. (1990). Ground roll: Rejection using polarization filters. Geophysics, 55(9), 1216-1222.
Stockwell, R. G. (1999). S-transform analysis of gravity wave activity from a small scale network of airglow imagers. Ontario: The University of Western Ontario.
Strang, G. (1980). Linear Algebra and its applications. New York: Academic Press.
Tan, Y. Y., He, C., Wang, Y. D. & Zhao, Z. (2013). Ground roll attenuation using a time-frequency dependent polarization filter based on the S transform. Applied Geophysics, 10(3), 279-294.
Tiapkina, O., Lando, M., Tyapkin, Y. & Link, B. (2012). Single-station SVD-based polarization filtering of ground roll. Geophysics, 77(2), v41-v59.
Vidale, J. E. (1986). Complex polarization analysis of particle motion. Bulletin of the Seismological society of America, 76(5), 1393-1405.
Yilmaz, O. (2001). Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data. Society of Exploration Geophysicists, 2nd edition.
Askari, R. & Siahkoohi, H. R. (2008). Ground roll attenuation using the S and x‐f‐k transforms. Geophysical Prospecting, 56(1), 105-114.
Bobbit, J. I. (1984). Three-component Rayleigh wave filter. 54 Ann. Internat. Mtg., Soc. Expl.: Geophysics. S23.8, 772-775.
Chiu, S., Whitmore, N. & Gurch, M. (2007). Polarization filter by eigenimages and adaptive subtraction to attenuate surface-wave noise. Proc. CSPG CSEG CWLS Conv, 445-449.
Chiu, S. K. & Howell, J. E. (2008). Attenuation of coherent noise using localized-adaptive eigenimage filter. In 2008 SEG Annual Meeting. Society of Exploration Geophysicists.
De Franco, R. & Musacchio, G. (2001). Polarization filter with singular value decomposition. Geophysics, 66, 932–938.
De Meersman, K. & Kendall, R. (2005). A complex SVD-polarization filter for ground roll attenuation on multi-component data. In 67th EAGE Conference & Exhibition.
De Meersman, K., Van Der Baan, M. & Kendall, J. M. (2006). Signal extraction and automated polarization analysis of multicomponent array data. Bulletin of the Seismological Society of America, 96(6), 2415-2430.
De Meersman, K. (2008). Ground Roll polarization filtering with spatial smoothness constraints. In 2008 SEG Annual Meeting. Society of Exploration Geophysicists.
Donno, D., Spagnolini, U. & Nehorai, A. (2006). Seismic shape parameters estimation and ground-roll suppression using vector-sensor beamforming. In OCEANS 2006 (pp. 1-6). IEEE.
Flinn, E. A. (1965). Signal analysis using rectilinearity and direction of particle motion. Proceedings of the IEEE, 53(12), 1874-1876.
Friedlander, B. & Porat, B. (1984). The modified Yule-Walker method of ARMA spectral estimation. Aerospace and Electronic Systems, IEEE Transactions on, (2), 158-173.
Jackson, G. M., Mason, I. M. & Greenhalgh, S. A. (1991). Principal component transforms of triaxial recordings by singular value decomposition. Geophysics, 56(4), 528-533.
Jin, S. & Ronen, S. (2005). Ground roll detection and attenuation by 3C polarization analysis. 67th Annual Conference and Exhibition, EAGE. Madrid, España.
Jurkevics, A. (1988). Polarization analysis of three-component array data. Bulletin of the Seismological Society of America, 78(5), 1725-1743.
Kendall, R., Jin, S., Ronen, S. & De Meersman, K. (2005). An SVD-polarization filter for ground roll attenuation on multicomponent data. In EAGE/SEG Research Workshop-Multicomponent Seismic-Past, Present and Future.
Kragh, E. & Peardon, L. (1995). Ground roll and polarization. First Break, 13(9).
Mars, J., Glangeaud, J. L. & Mari, J. L. (2004). Advanced signal processing tools for dispersive waves. Near-surface Geophysics, 199-210.
Perelberg, A. I. & Hornbostel, S. C. (1994). Applications of seismic polarization analysis. Geophysics, 59(1), 119-130.
Pinnegar, C. R. (2006). Polarization analysis and polarization filtering of three-component signals with the time—frequency S transform. Geophysical Journal International, 165(2), 596-606.
Plessix, R. É. & Pérez C. A. (2015). Modified surface boundary conditions for elastic waveform inversion of low-frequency wide-angle active land seismic data. Geophysical Journal International, 201(3), 1324-1334.
Samson, J. C. & Olson, J. V. (1981). Data-adaptive polarization filters for multichannel geophysical data. Geophysics, 46(10), 1423-1431.
Sheriff, R. E. (2002). Encyclopedic dictionary of applied geophysics. Society of Exploration Geophysicists.
Shieh, C. F. & Herrmann, R. B. (1990). Ground roll: Rejection using polarization filters. Geophysics, 55(9), 1216-1222.
Stockwell, R. G. (1999). S-transform analysis of gravity wave activity from a small scale network of airglow imagers. Ontario: The University of Western Ontario.
Strang, G. (1980). Linear Algebra and its applications. New York: Academic Press.
Tan, Y. Y., He, C., Wang, Y. D. & Zhao, Z. (2013). Ground roll attenuation using a time-frequency dependent polarization filter based on the S transform. Applied Geophysics, 10(3), 279-294.
Tiapkina, O., Lando, M., Tyapkin, Y. & Link, B. (2012). Single-station SVD-based polarization filtering of ground roll. Geophysics, 77(2), v41-v59.
Vidale, J. E. (1986). Complex polarization analysis of particle motion. Bulletin of the Seismological society of America, 76(5), 1393-1405.
Yilmaz, O. (2001). Seismic Data Analysis: Processing, Inversion, and Interpretation of Seismic Data. Society of Exploration Geophysicists, 2nd edition.
How to Cite
Sánchez-Galvis, I.-J. ., Serrano-Luna, J.-O. ., Niño-Niño, C.-A., Sierra-Bueno, D.-A. ., & Agudelo-Zambrano , W.-M. . . (2019). SVD polarization filter taking into account the planarity of ground roll energy . CT&F - Ciencia, Tecnología Y Futuro, 6(3), 05–24. https://doi.org/10.29047/01225383.07
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Published
2019-12-05
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Section
Scientific and Technological Research Articles
