Abstract
Polarization analysis of multi-component seismic data is used in both exploration seismology and earthquake seismology. In single-station polarization processing, it is generally assumed that any noise present in the window of analysis is incoherent, i.e., does not correlate between components. This assumption is often violated in practice because several overlapping seismic events may be present in the data. The additional arrival(s) to that of interest can be viewed as coherent noise. This paper quantifies the error because of coherent noise interference. We first give a general theoretical analysis of the problem. A simple mathematical wavelet is then used to obtain a closed-form solution to the principal direction estimated for a transient incident signal superposed with a time-shifted, unequal amplitude version of itself, arriving at an arbitrary angle to the first wavelet. The effects of relative amplitude, arrival angle, and the time delay of the two wavelets on directional estimates are investigated. Even for small differences in angle of arrival, there may be significant error (>10°) in the azimuth estimate.
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References
Ananat KS, Dowla FU (1997) Wavelet transform methods for phase identification in three-component seismograms. Bull Seismol Soc Am 87:1598–1612
Bataille K, Chiu JM (1991) Polarization analysis of high-frequency, three-component seismic data. Bull Seismol Soc Am 81:622–642
Born M, Wolf E (1975) Principles of optics. Pergamon, New York
Cichowicz AR, Green WE, van Zyl Brink A (1988) Coda polarization properties of high-frequency microseismic events. Bull Seismol Soc Am 78:1297–1318
Cho WH, Spencer TW (1992) Estimation of polarization and slowness in mixed wavefields. Geophysics 57:805–814
Claassen JP (2000) Robust bearing estimates from three component stations. Pure Applied Geophys 158:349–374
Flinn EA (1965) Signal analysis using rectilinearity and direction of particle motion. Proc IEEE 53:1874–1876
Gal’perin EI (1983) The polarization method of seismic exploration. Reidel, Amsterdam
Gething PJD (1991) Radio direction finding and super-resolution, 2nd edn. Peregrinus, Stevenage, UK
Greenhalgh SA, Mason IM, Lucas E, Pant DR, Eames RT (1992) Controlled direction reception filtering of P- and S-waves in tau-p space. Geophys J Int 100:221–234
Greenhalgh SA, Mason IM, Zhou B (2005) An analytical treatment of single station triaxial seismic direction finding. J Geophys Eng 2:8–15
Harris DB (1990) Comparison of the directional estimation performance of high-frequency seismic arrays and three-component stations. Bull Seismol Soc Am 80:1951–1968
Hearn S, Hendrick N (1998) A review of single-station time-domain polarization analysis techniques. J Seism Explor 8:181–202
Jackson GM, Mason IM, Greenhalgh SA (1991) Principal component transforms of triaxial recordings by singular value decomposition. Geophysics 56:528–533
Jackson GM, Mason IM, Greenhalgh SA (1999) Single station triaxial seismic direction finding. In: Kirlin L, Done W (eds) Covariance analysis in geophysics. Society Exploration Geophysics, Tulsa, OK, pp 275–290
Jarpe S, Dowla F (1991) Performance of high-frequency three-component stations for azimuth estimation from regional seismic phases. Bull Seismol Soc Am 81:987–999
Jurkevics A (1988) Polarization analysis of three-component array data. Bull Seismol Soc Am 78:1725–1743
Kanasewich E (1981) Time sequence analysis in geophysics. University of Alberta Press, Alberta, Canada
Knowlton KB, Spencer TW (1996) Polarization measurement uncertainty on three-component VSPs. Geophysics 61:594–599
Lilly JM, Park J (1995) Multiwavelet spectral and polarization analysis of seismic records. Geophys J Int 122:1001–1021
Magotra NN, Ahmed E Chael E (1987) Seismic event detection and source location using single-station (three-component) data. Bull Seismol Soc Am 77:958–971
Montalbetti JF, Kanasewich ER (1970) Enhancement of teleseismic body phases with polarization filter. Geophys J R Astron Soc 21:119–129
Perelberg AI, Hornbostel SC (1994) Applications of seismic polarization analysis. Geophysics 59:119–130
Richwalshi S, Roy-Chowdury K, Mondt JC (2001) Multi-component wavefield separation applied to high resolution surface seismic data. J Appl Geophys 46:101–114
Roberts RG, Christofferson A, Cassidy F (1989) Real-time event detection, phase identification and source location estimates using single station three-component seismic data. Geophys J Int 97:471–480
Rutty MJ, Greenhalgh SA (1993) The correlation of seismic events on multicomponent data in the presence of coherent noise. Geophys J Int 113:343–358
Rutty MJ, Greenhalgh SA (1999) Correlation using triaxial data from multiple stations in the presence of coherent noise. In: Kirlin L, Done W (eds) Covariance analysis in geophysical data processing. Society of Exploration Geophysicists, Tulsa, pp 291–322
Ruud BO, Husebye ES, Ingate SF, Christoffersson A (1988) Event location at any distance using seismic data from a single, three-component station. Bull Seismol Soc Am 78:308–325
Suteau-Hensen A (1990) Estimating azimuth and slowness from three-component and array stations. Bull Seismol Soc Am 80:1987–1998
Vidale JE (1986) Complex polarization analysis of particle motion. Bull Seismol Soc Am 76:1393–1405
Wagner GS (1996) Resolving diversely polarized superimposed signals in three component seismic array data. Geophys Res Lett 23:1837–1840
Wagner GS, Owens TJ (1991) Broadband eigen-analysis for three-component seismic array data. IEEE Trans Signal Proc 43(7):1738–1741
Walck MC, Chael EP (1991) Optimal backazimuth estimation for three-component recordings of regional seismic events. Bull Seismol Soc Am 81:643–666
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Greenhalgh, S.A., Zhou, B. & Rutty, M. Effect of coherent noise on single-station direction of arrival estimation. J Seismol 12, 377–385 (2008). https://doi.org/10.1007/s10950-007-9085-8
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DOI: https://doi.org/10.1007/s10950-007-9085-8