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Spectral matrix analysis for detection of polarized wave arrivals and its application to seismic reflection studies using local earthquake data

Earth, Planets and Space volume 61, pages 1287–1295 (2009)Cite this article

Abstract

Local earthquakes observed at Sendai, Japan, were analyzed to confirm the validity of a method of polarization analysis using the spectral matrix of seismic wave and its application to seismic reflection studies of the crust using local earthquake data. Reflectors (Bright spots) are known below the Nagamachi-Rifu fault, which caused an M 5.0 class event in 1998. Polarization analysis was applied to earthquake data in and around the fault. Use of the Z-parameter, which is defined using the eigenvalues of the spectral matrix and a statistical value representing the confidence level for the detection of the arrival of polarized waves, allowed detection of linearly and elliptically polarized waves in coda waves. The Z-parameter was also used to image the reflectors by using a migration technique that assumes the P×P and S×S reflection waves travel through a multi-layered velocity structure. Distinct reflectors were detected at depths of around 10 km, 14 km, 17 km, 21–26 km, 35 km and 40 km, that is, from deeper than the fault and the Moho. This study demonstrated the feasibility of using the spectral matrix of three-component seismic signal to detect polarized waves and to image reflectors in the earth’s crust and upper mantle.

References

  • Benhama, A., C. Cliet, and M. Dubesset, Study and applications of spatial directional filtering in three-component recordings, Geophys. Prospect., 36, 591–613, 1988.

    Article  Google Scholar 

  • De Franco, R. and G. Musacchio, Polarization filter with singular value decomposition, Geophysics, 66, 932–938, 2001.

    Article  Google Scholar 

  • Diallo, M., M. Kulesh, M. Holschneider, K. Kurennaya, and F. Scherbaum, Instantaneous polarization attributes based on an adaptive approximate covariance method, Geophysics, 71, V99–V104, 2006.

    Article  Google Scholar 

  • Flinn, E. A., Signal analysis using rectilinearity and direction of particle motion, Proc. IEEE, 59, 1234–1237, 1965.

    Google Scholar 

  • Greenhalgh, S., L. M. Mason, and B. Zhou, An analytical treatment of single station triaxial seismic direction finding, J. Geophys. Eng., 2, 8–15, doi:10.1088/1742-2132/2/1/002, 2005.

    Article  Google Scholar 

  • Hasegawa, A., A. Yamamoto, N. Umino, S. Miura, S. Horiuchi, D. Zhao, and H. Sato, Seismic activity and deformation process of the crust within the overriding plate in the northeastern Japan subduction zone, Tectonophysics, 319, 225–239, 2000.

    Article  Google Scholar 

  • Hori, S., N. Umino, Y. Asano, and A. Hasegawa, S-wave reflectors in the crust of northeastern Japan, Programme and Abstracts, The Seismological Society of Japan, 1999 Fall Meeting, p. 140, 1999.

    Google Scholar 

  • Horiuchi, S., A. Hasegawa, A. Takagi, A. Ito, M. Suzuki, and H. Kameyama, Mapping of a melting zone near Mt. Nikko-Shirane in northern Kanto, Japan, as inferred from S×P and S×S reflections, Tohoku Geophys. J., 31, 43–55, 1988.

    Google Scholar 

  • Ikeda, Y., Japanese thrust faults: A possibility of flake tectonics, Monthly Chikyu, Extra 5, 1992 (in Japanese).

    Google Scholar 

  • Imanishi, K., H. Ito, Y. Kuwahara, Y. Mamada, T. Yokokura, N. Kano, K. Yamaguchi, and A. Tanaka, Deep structure of the Nagamachi-Rifu fault deduced from small aperture seismic array observations, Earth Planets Space, 54, 1033–1038, 2002.

    Article  Google Scholar 

  • Kulesh, M., M. S. Diallo, M. Holschneider, K. Kurennaya, F. Krüger, M. Ohrnberger, and F. Scherbaum, Polarization analysis in the wavelet domain based on the adaptive covariance method, Geophys. J. Int., 170(2), 667–678, 2007.

    Article  Google Scholar 

  • Moriya, H., Precise arrival-time detection of polarized seismic waves using the spectral matrix, Geophys. Prospect., 56, 667–676, 2008.

    Article  Google Scholar 

  • Moriya, H. and H. Niitsuma, Precise detection of P-wave in low S/N signal by using time-frequency representations of a triaxial hodogram, Geophysics, 61, 1453–1466, 1996.

    Article  Google Scholar 

  • Moriya, H., K. Nagano, and H. Niitsuma, Precise source location of AE doublets by spectral matrix analysis of triaxial hodogram, Geophysics, 59, 36–45, 1994.

    Article  Google Scholar 

  • Nakajima, J., T. Matsuzawa, A. Hasegawa, and A. Zhao, Threedimensional structure of Vp, Vs and Vp/Vs beneath northeastern Japan: Implication for arc magmatism and fluids, J. Geophys. Res., 106, 21843–21857, 2001.

    Article  Google Scholar 

  • Samson, J. C., Description of the polarization states of the vector processes: application to ULF magnetic fields, Geophys. J. Int., 34, 403–419, 1973.

    Article  Google Scholar 

  • Soma, N., H. Niitsuma, and R. Baria, Estimation of deeper structure at the Soultz Hot Dry Rock field by means of reflection method using 3C AE as wave source, Pure Appl. Geophys., 150, 661–676, 1997.

    Article  Google Scholar 

  • Soma, N., H. Niitsuma, and R. Baria, Reflection technique in timefrequency domain using multicomponent acoustic emission signals and application to geothermal reservoirs, Geophysics, 67(3), 928–938, 2002.

    Article  Google Scholar 

  • Soma, N., H. Niitsuma, and R. Baria, Reflection imaging of deep reservoir structure based on three-dimensional hodogram analysis of multicomponent microseismic waveforms, J. Geophys. Res., 112, B11303, doi:10.1029/2005JB004216, 2007.

    Article  Google Scholar 

  • Umino, N., H. Ujikawa, S. Hori, and A. Hasegawa, Distinct S-wave reflectors (bright spots) detected beneath the Nagamachi-Rifu fault, NE Japan, Earth Planets Space, 54, 1021–1026, 2002.

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Engineering, Tohoku University, 6-6-04 Aramaki, Aza Aoba, Aoba-ku, Sendai, 980-8579, Japan

    Hirokazu Moriya

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  1. Hirokazu Moriya
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Correspondence to Hirokazu Moriya.

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Moriya, H. Spectral matrix analysis for detection of polarized wave arrivals and its application to seismic reflection studies using local earthquake data. Earth Planet Sp 61, 1287–1295 (2009). https://doi.org/10.1186/BF03352982

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Key words

  • Spectral matrix
  • seismic reflection
  • multiplet
  • migration