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Coherence spectra of rotational and translational components of mining induced seismic events

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Abstract

Classical Russian S-5-S pendulum seismometer was modified for recording of the rotational components of ground motion. This seismometer was used for monitoring of mining induced seismic events in the Karviná region (Czech Republic). Together, three translational components of ground vibration velocity and one rotational component of ground vibration velocity around the vertical axis were recorded. Elaborated mining induced seismic events with epicentral distances up to 9 km were recorded in Doubrava locality, where the exploitation of black coal is still active. Numerical study of measured component attributes of mining induced seismic events is presented in this paper, namely squared Morlet wavelet coefficients and squared coherence spectrum between rotational and translational components. Squared Morlet wavelet coefficients enable to analyse time-and-frequency structure of elaborated signal, e.g. dynamics of the onset, evolution and disappearance of typical periods of the harmonic peaks, etc. Spectral measure of coherence was applied here for investigation of synchronization effects in 2-dimensional time series of translational and rotational components.

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References

  • Båth M (1979) Introduction to seismology. Birkhauser Verlag, Basel

  • Častová N, Kaláb Z (1997) Use of wavelet transform for processing of mining induced seismic events. In: Strakoš V, Kebo V, Farana R, Smutný L (eds) Mine planning and equipment selection 1997. Proceedings of the sixth international symposium MPES, Ostrava, A.A.Balkema/Rotterdam/Brookfield, pp 285–291

  • Chui CK (1992) An introduction to wavelets. Academic Press, San Diego

    Google Scholar 

  • Daubechies I (1992) Ten lectures on wavelets. No. 61 in CBMS-NSF series in applied mathematics, SIAM, Philadelphia

  • Hradil P, Kaláb Z, Knejzlík J, Kořínek R, Salajka V, Kanický V (2009) Response of a panel building to mining induced seismicity in Karvina area (Czech Republic). Acta Montan Slovaca 14(2):143–151

    Google Scholar 

  • Kaláb Z, Knejzlík J (2011) Evaluation of seismic effect generated by mining induced seismic events in Stonava area. In: Idziak AF, Dubiel R (eds) Geophysics in mining and environmental protection. Geoplanet: earth and planetary sciences, vol 2. Springer, Berlin, pp 1–10. doi:10.1007/978-3-642-19097-1_1

    Chapter  Google Scholar 

  • Kaláb Z, Knejzlík J (2012) Examples of rotational component records of mining induced seismic events from Karviná region. Acta Geodyn Geomater 9 2(166):173–178

  • Kaláb Z, Lednická M (2012) Foundation conditions of buildings in undermined areas: example of evaluation. Acta Geophys 60(2):399–409. doi:10.2478/s11600-011-0071-8

    Google Scholar 

  • Kaláb Z, Knejzlík J, Lednická M (2013) Application of newly developed rotational sensor for monitoring of mining induced seismic events in the Karvina region. Acta Geodyn Geomater 10 2(170):197–205

  • Kaláb Z, Lednická M, Lyubushin AA (2011) Processing of mining induced seismic events by spectra analyzer software. Górnictwo i geologia Kwartalnik 6(1):75–83

    Google Scholar 

  • Knejzlík J, Kaláb Z (2002) Seismic recording apparatus PCM3-EPC. Publ Inst Geophys Pol Acad Sci M–24(340):187–194

    Google Scholar 

  • Knejzlík J, Kaláb Z, Rambouský Z (2012) Adaptation of the S-5-S pendulum seismometer for measurement of rotational ground motion. J Seismol 16(4):649–656. doi:10.1007/s10950-012-9279-6

    Article  Google Scholar 

  • Lednická M (2006) Historical buildings in the Ostrava and Karviná region and their seismic loads. Publ Inst Geophys Pol Acad Sci M–29(195):147–160

    Google Scholar 

  • Lyubushin AA (1998) Analysis of canonical coherences in the problems of geophysical monitoring. Izv Phys Solid Earth 34:52–58

    Google Scholar 

  • Lyubushin AA, Kaláb Z, Častová N (2004a) Application of wavelet analysis to the automatic classification of three-component seismic records. Izv Phys Solid Earth 40(7):587–593

    Google Scholar 

  • Lyubushin AA, Pisarenko VF, Bolgov MV, Rodkin MV, Rukavishnikova TA (2004b) Synchronous variations in the Caspian Sea level from coastal observations in 1977–1991. Atmos Ocean Phys 40(6):737–746

    Google Scholar 

  • Lyubushin AA, van Gelder PHAJM, Bolgov MV (2004) Spectral analysis of Caspian level variations. In: Proceedings of OMAE 2004: 23rd international conference offshore mechanics and arctic engineering, 20–25 June 2004, Vancouver

  • Lyubushin AA, Sobolev GA (2006) Multifractal measures of synchronization of microseismic oscillations in a minute range of periods. Izv Phys Solid Earth 42(9):734–744. doi:10.1134/S1069351306090035

    Article  Google Scholar 

  • Lyubushin AA (2008) Microseismic noise in the low frequency range (periods of 1–300 min): properties and possible prognostic features. Izv Phys Solid Earth 44(4):275–290. doi:10.1134/S1069351308040022

    Article  Google Scholar 

  • Lyubushin AA (2009) Synchronization trends and rhythms of multifractal parameters of the field of low-frequency microseisms. Izv Phys Solid Earth 45(5):381–394. doi:10.1134/S1069351309050024

    Article  Google Scholar 

  • Lyubushin AA (2010) Multifractal parameters of low-frequency microseisms. In: de Rubeis V et al. (eds) Synchronization and triggering: from fracture to earthquake processes, GeoPlanet: Earth and Planetary Sciences 1, Springer, Berlin, Chapter 15, pp 253–272. doi:10.1007/978-3-642-12300-9_15

  • Lyubushin AA, Klyashtorin LB (2012) Short term global dT prediction using (60–70)-years periodicity. Energy Environ 23(1):75–85

    Article  Google Scholar 

  • Lyubushin AA (2014) Analysis of coherence in global seismic noise for 1997–2012. Izv Phys Solid Earth 50(3):325–333. doi:10.1134/S1069351314030069

    Article  Google Scholar 

  • Mallat S (1998) A wavelet tour of signal processing. Academic Press, San Diego

    Google Scholar 

  • Marple SL Jr (1987) Digital spectral analysis with applications. Prentice-Hall Inc, Englewood Cliffs

    Google Scholar 

  • Martinec P et al (2006) Termination of underground coal mining and its impact on the environment. Anagram, Ostrava

    Google Scholar 

  • Teisseyre R, Takeo M, Majewski E (eds) (2006) Earthquake source asymmetry, structural media, and rotation effects. Springer, Berlin

    Google Scholar 

Download references

Acknowledgments

This research was performed with the long-term conceptual development support of research organisations RVO: 68145535 and within the frame of cooperation between Russian and Czech researchers—bilateral agreement (joint theme “Investigation of microseismic field in Ostrava-Karviná region and other areas”).

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Correspondence to Zdeněk Kaláb.

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Lyubushin, A.A., Kaláb, Z., Lednická, M. et al. Coherence spectra of rotational and translational components of mining induced seismic events. Acta Geod Geophys 50, 391–402 (2015). https://doi.org/10.1007/s40328-015-0099-3

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  • DOI: https://doi.org/10.1007/s40328-015-0099-3

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