Log in

Mass determination of moment magnitudes Mw and establishing the relationship between Mw and M L for moderate and small Kamchatka earthquakes

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

The average relationship is established between the basic magnitude for the Kamchatka regional catalog, M L , and modern moment magnitude Mw. The latter is firmly tied to the value of the source seismic moment M0 which has a direct physical meaning. M L magnitude is not self-reliant but is obtained through the conversion of the traditional Fedotov’s S-wave energy class, K F68S1,2 . Installation of the digital seismographic network in Kamchatka in 2006–2010 permitted mass estimates of M0 and Mw to be obtained from the regional data. In this paper we outline a number of techniques to estimate M0 for the Kamchatka earthquakes using the waveforms of regional stations, and then compare the obtained Mw estimates with each other and with M L , based on several hundred earthquakes that took place in 2010–2014. On the average, for Mw = 3.0–6.0, Mw = M L –0.40; this relationship allows obtaining Mw estimates (proxy-Mw) for a large part of the regional earthquake catalog with M L = 3.4–6.4 (Mw = 3.0–6.0).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abubakirov, I.R. and Gusev, A.A., Estimation of scattering properties of lithosphere of Kamchatka based on Monte- Carlo simulation of record envelope of a near earthquake, Phys. Earth Planet. Inter., 1990, vol. 64, no. 1, pp. 52–67.

    Article  Google Scholar 

  • Aptekman, Zh.Ya., Belavina, Yu.F., Zakharova, A.I., Zobin, V.M., Kogan, S.Ya., Korchagina, O.A., Moskvina, A.G., Polikarpova, L.A., and Chepkunas, L.S., P-wave spectra in the problem of determining the dynamic parameters of earthquake sources. Conversion from station spectrum to source spectrum and calculation of the dynamic parameters of the source, Vulkanol. Seismol., 1989, no. 2, pp. 66–79.

    Google Scholar 

  • Boore, D.M. and Boatwright, J., Average body-wave radiation coefficients, Bull. Seismol. Soc. Am., 1984, vol. 74, no. 5, pp. 1615–1621.

    Google Scholar 

  • Boore, D.M., Simulation of ground motion using the stochastic method, Pure Appl. Geophys., 2003, vol. 160, pp. 635–676.

    Article  Google Scholar 

  • Bormann, P., Wendt, S., and Di Giacomo, D., Seismic sources and source parameters, in New Manual of Seismological Observatory Practice 2 (NMSOP2), Bormann, P., Ed., Potsdam: Deutsches GeoForschungsZentrum GFZ, 2013, pp. 1–259.

    Google Scholar 

  • Bormann, P. and Dewey, J. W., The new IASPEI standards for determining magnitudes from digital data and their relation to classical magnitudes, in New Manual of Seismological Observatory Practice 2 (NMSOP-2), Bormann, P., Ed., Potsdam: Deutsches GeoForschungsZentrum GFZ, 2014, pp. 1–44.

    Google Scholar 

  • Brune, J.N., Tectonic stress and the spectra of seismic shear waves from earthquakes, J. Geophys. Res., 1970, vol. 75, no. 26, pp. 4997–5009.

    Article  Google Scholar 

  • Bune, V.I., On the classification of the earthquakes by the energy of elastic waves radiated from the source, Dokl. Akad. Nauk Tadzh. SSR, 1955, no. 14, pp. 31–34.

    Google Scholar 

  • Chebrov, V.N., Droznin, D.V., Kugaenko, Yu.A., Levina, V.I., Senyukov, S.L., Sergeev, V.A., Shevchenko, Yu.V., Yaschuk, V.V., The system of detailed seismological observations in Kamchatka in 2011, Volcanol. Seismol., 2013, vol. 7, no. 1, pp. 16–36.

    Article  Google Scholar 

  • Chebrov, V.N., Kugaenko, Yu.A., Abubakirov, I.R., Droznina, S.Ya., Ivanova, E.I., Matveenko, E.A., Mitiushkina, S.V., Ototiuk, D.A., Pavlov, V.M., Raevskaia, A.A., Saltykov, V.A., Seniukov, S.L., Serafimova, Yu.K., Skorkina, A.A., Titkov, N.N., Chevrov,D.V., Zhupanovskoe earthquake of 30.01.2016 with K S = 15.7, M w = 7.2, I = 6 (Kamchatka), Vestn. KRAUNTs, Nauki Zemle, 2016, vol. 29, no. 1, pp. 5–16.

    Google Scholar 

  • Drouet, S., Cotton, F., and Gueguen, P., Vs30, k, regional attenuation and M w from accelerograms: application to magnitude 3–5 French earthquakes, Geophys. J. Int., 2010, vol. 182, no. 2, pp. 880–898.

    Article  Google Scholar 

  • Dziewonski, A.M. and Anderson, D.L., Preliminary reference Earth model, Phys. Earth Planet. Inter., 1981, vol. 25, no. 4, pp. 297–356.

    Article  Google Scholar 

  • Dziewonski, A.M., Chou, T.A., and Woodhouse, J.H., Determination of earthquake source parameters from waveform data for studies of global and regional seismicity, J. Geophys. Res., 1981, vol. 86, no. B4, pp. 2825–2852.

    Article  Google Scholar 

  • Edwards, B., Allmann, B., Fah, D., and Clinton, J., Automatic computation of moment magnitudes for small earthquakes and the scaling of local to moment magnitude, Geophys. J. Int., 2010, vol. 183, no. 1, pp. 407–420.

    Article  Google Scholar 

  • Ekström, G., Nettles, M., and Dziewonski, A.M., The global CMT project 2004–2010: centroid-moment tensors for 13017 earthquakes, Phys. Earth Planet. Inter., 2012, vol. 200, pp. 1–9.

    Article  Google Scholar 

  • Fedotov, S.A., Energeticheskaya klassifikatsiya Kurilo- Kamchatskikh zemletryasenii i problema magnitud (Energy Classification of the Kuril–Kamchatka Earthquakes and the Problem of Magnitudes), Moscow: Nauka, 1972.

    Google Scholar 

  • Gasperini, P., Lolli, B., Vannucci, G., and Boschi, E., A comparison of moment magnitude estimates for the European–Mediterranean and Italian regions, Geophys. J. Int., 2012, vol. 190, no. 3, pp. 1733–1745.

    Article  Google Scholar 

  • Gordeev, E.I., Gusev, A.A., Levina, V.I., Leonov, V.L., and Chebrov, V.N., Shallow earthquakes in Kamchatka Peninsula, Vulkanol. Seismol., 2006, no. 3, pp. 28–38.

    Google Scholar 

  • Guseva, E.M., Gusev, A.A., and Oskorbin, L.S., A software package for earthquake data processing: experimental application to strong motion records, Volcanol. Seismol., 1991, vol. 11, no. 5, pp. 648–670.

    Google Scholar 

  • Gusev, A.A. and Melnikova, V.N., Relationships between magnitude scales for global and Kamchatka earthquakes, Volcanol. Seismol., 1992, vol. 12, no. 6, pp. 723–733.

    Google Scholar 

  • Gusev, A.A. and Shumilina, L.S., Recurrence of Kamchatka strong earthquakes on a scale of moment magnitudes, Izv., Phys. Solid Earth, 2004, vol. 40, no. 3, pp. 206–215.

    Google Scholar 

  • Gusev, A.A. and Guseva, E.M., Shear wave attenuation estimated from the spectral decay rate in the vicinity of the Petropavlovsk station, Kamchatka, Izv., Phys. Solid Earth, 2016a, vol. 52, no. 4, pp. 503–519.

    Article  Google Scholar 

  • Gusev, A.A. and Guseva, E.M., Source spectra of near Kamchatka earthquakes: recovering them from S-wave spectra, and determination of scaling for three corner frequencies, Pure Appl. Geophys., 2016b, vol. 173, no. 5, pp. 1539–1557.

    Article  Google Scholar 

  • Hanks, T.C. and Kanamori, H., A moment magnitude scale, J. Geophys. Res., 1979, vol. 84, no. B5, pp. 2348–2350.

    Article  Google Scholar 

  • Hanks, T.C. and Boore, D.M., Moment-magnitude relations in theory and practice, J. Geophys. Res., 1984, vol. 89, no. B7, pp. 6229–6235.

    Article  Google Scholar 

  • Kanamori, H., The energy release in great earthquakes, J. Geophys. Res., 1977, vol. 82, no. 20, pp. 2981–2987.

    Article  Google Scholar 

  • Kennett, B.L.N., Engdahl, E.R., and Buland, R., Constraints on seismic velocities in the Earth from traveltimes, Geophys. J. Int., 1995, vol. 122, no. 1, pp. 108–124.

    Article  Google Scholar 

  • Konstantinou, K.I., Moment magnitude-rupture area scaling and stress-drop variations for earthquakes in the Mediterranean region, Bull. Seismol. Soc. Am., 2014, vol. 104, no. 5, pp. 2378–2386.

    Article  Google Scholar 

  • Maeda, T. and Sasatani, T., Two-layer Qs structure of the slab near the southern Kurile trench, Earth, Planets Space, 2006, vol. 58, no. 5, pp. 543–553.

    Article  Google Scholar 

  • Patton, H.J., Bias in the centroid moment tensor for central Asian earthquakes: evidence from regional surface wave data, J. Geophys. Res., 1998, vol. 103, no. B11, pp. 26963–26974.

    Article  Google Scholar 

  • Pavlenko, O.V., Simulation of ground motion from strong earthquakes of Kamchatka region (1992–1993) at rock and soil sites, Pure Appl. Geophys., 2013, vol. 170, no. 4, pp. 571–595.

    Article  Google Scholar 

  • Pavlov, V.M. and Abubakirov, I.R., Algorithm for calculation of seismic moment tensor of strong earthquakes using regional broadband seismograms of body waves, Vestnik KRAUNTs. Nauki Zemle, 2012, vol. 20, no. 2, pp. 149–158.

    Google Scholar 

  • Pavlov, V.M., Algorithm for calculating synthetic seismograms in a layered half-space with application of matrix impedance, Izv., Phys. Solid Earth, 2013, vol. 49, no. 1, pp. 24–33.

    Article  Google Scholar 

  • Petukhin, A.G. and Gusev, A.A., The duration-distance relationship and average envelope shapes of small Kamchatka earthquakes, Pure Appl. Geophys., 2003, vol. 160, no. 9, pp. 1717–1743.

    Article  Google Scholar 

  • Rautian, T.G., Energy of earthquakes, in Metody detal’nogo izucheniya seismichnosti. Trudy IFZ AN SSSR (Methods for Detailed Studying the Earthquakes. Proc. Schmidt Institute of Physics of the Earth of the USSR Academy of Sciences), vol. 176, 1960, no. 9, pp. 75–114.

    Google Scholar 

  • Rautian, T.G. and Khalturin, V.I., The use of the coda for determination of the earthquake source spectrum, Bull. Seismol. Soc. Am., 1978, vol. 68, no. 4, pp. 923–948.

    Google Scholar 

  • Rautian, T.G., Khalturin, V.I., Zakirov, M.S., Zemtsova, A.G., Proskurin, A.P., Pustovitenko, B.G., Pustovitenko, A.N., Sinel’nikova, L.G., Filina, A.G., and Shengeliya, I.S., Eksperimental’nye issledovaniya seismicheskoi kody (Experimental Studies in Seismic Coda), Moscow: Nauka, 1981.

    Google Scholar 

  • Seismological Data Information System (SDIS) of the Kamchatka Branch of Geophysical Survey of Russian Academy of Science. http://www.emsd.ru/sdis (Cited January 16, 2017).

  • Skorkina, A.A. and Gusev, A.A., Determination of corner frequencies of source spectra for subduction earthquakes in Avacha Gulf (Kamchatka), Rus. Geol. Geophys., 2017, vol. 58, no. 7, pp. 844–854.

    Article  Google Scholar 

  • Stein, S. and Okal, E.A., Seismology: speed and size of the Sumatra earthquake, Nature, 2005, vol. 434, no. 7033, pp. 581–582.

    Article  Google Scholar 

  • Tsai, V.C., Nettles, M., Ekstrom, G., and Dziewonski, A.M., Multiple CMT source analysis of the 2004 Sumatra earthquake, Geophys. Res. Lett., 2005, vol. 32, no. 17, p. L17304.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Skorkina.

Additional information

Original Russian Text © I.R. Abubakirov, A.A. Gusev, E.M. Guseva, V.M. Pavlov, A.A. Skorkina, 2018, published in Fizika Zemli, 2018, No. 1, pp. 37–51.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abubakirov, I.R., Gusev, A.A., Guseva, E.M. et al. Mass determination of moment magnitudes Mw and establishing the relationship between Mw and M L for moderate and small Kamchatka earthquakes. Izv., Phys. Solid Earth 54, 33–47 (2018). https://doi.org/10.1134/S1069351318010019

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351318010019

Keywords

Navigation