EMPIRICAL RELATIONS OF SEISMIC MOMENT AND EARTHQUAKE MOMENT MAGNITUDE TO EARTHQUAKE LOCAL MAGNITUDE FOR THE VARDAR AND WEST MACEDONIA SEISMIC ZONES

Vera Čejkovska

Abstract


A b s t r a c t: Seismic moments (M0) of 79 earthquakes which ed in the Vardar and West Macedonia seismic zones on the territory of the Republic of Macedonia and neighbouring regions within the period 1992–2002 were obtained by inversion of the amplitude spectra of the vertical components of the short-period shear Sg and Lg surface waves, digitally recorded on the electromagnetic short-period SS-1 and wide-range WR-1 Kinemetrics seismometers at the stations in Skopje (SKO), Ohrid (OHR), Valandovo (VAY), Bitola (BIA) and Kriva Palanka (KPJ). The inversion was done on the Brune dislocation source model and a proper model of the medium. The data used included earthquake local magnitudes (ML) between 1.5 and 5.2, for the Vardar seismic zone, and between 1.4 and 5.2, for the West Macedonia seismic zone. Moment magnitudes (MW) of the earthquakes were calculated using the Kanamori formula. Empirical M0 – ML and MW – ML relations were obtained, the first of the kind for seismic zones in the territory of the Republic of Macedonia. The results also appointed to a differentiation between classes of small and middle-sized earthquakes at ML = 5.2 and to a change in the scaling law of the small earthquakes at ML ≈ 3.0 – 3.5 or M0 ≈ 6·1013 – 1.5·1014 N·m.


Keywords


seismic source parameters; seismic moment; earthquake moment magnitude; empirical relations

Full Text:

PDF

References


K. Aki, P. G. Richards, Quantitive Seismology. Theory and Methods. Vol. I, II. W. H. Freeman and Company, San Francisco, 1980.

K. Kasahara, Mehanika zemletr®senií. Mir, Moskva. (Russian translation of the original published in English in 1981), 1985.

B. V. Kostrov, Mehanika o~aгa тekтoni~eskoгo zemleтrÔseniÔ. Nauka, Moskva, 1975.

A. Ben-Menahem, S. J. Singh, Seismic Sources and Waves. Springer-Verlag, New York, 1981.

K. Aki, Generation and propagation of G waves from the Niigata earthquake of June 16, 1964. Part 2. Estimation of earthquake moment, released energy and stress-strain drop from the G wave spectrum, Bulletin of the Earthquake Research Institute, 44, (Part 1) (1966) 73–88.

K. Aki, Earthquake mechanism. Tectonophysics, 13 (1972) 423–446.

K. Aki, Scaling law of earthquake source time-function, Geophysical Journal of the Royal Astronomical Society, 31, (1972) 3–25.

H. Kanamori, The energy release in great earthquakes, Journal of Geophysical Research, 82 (1977) 2981–2987.

H. Kanamori, D. L. Anderson, Theoretical basis of some empirical relations in seismology, Bulletin of the Seismological Society of America, 65 (1975) 1073– 1095.

A. Ben-Menahem, S. W. Smith, Teng Ta-Liang, A procedure for source studies from spectrums of long-period seismic body waves, Bulletin of the Seismological Society of America, 55 (1965) 203–235.

J. N. Brune, C. Y. King, Excitation of mantle Rayleigh waves of period 100 seconds as a function of magnitude, Bulletin of the Seismological Society of America, Vol. 57 (1967) 1355–1365.

W. Thatcher, T. C. Hanks, Source parameters of southern California earthquakes, Journal of Geophysical Research, 78 (1973) 8547–8576.

R. L. Street, R. B. Herrmann, O. W. Nuttli, Spectral characteristics of the Lg wave generated by Central United States earthquakes, Geophysical Journal of the Royal Astronomical Society, 41 (1975) 51–63.

R. Geller, Scaling relations for earthquake source parameters and magnitudes, Bulletin of the Geological Society of America, 66 (1976) 1501–1523.

W. A. Peppin, C. G. Bufe, Induced versus natural earthquakes: search for a seismic discriminant, Bulletin of the Seismological Society of America, 70 (1980) 269–281.

H. S. Hasegawa, Lg spectra of local earthquakes recorded by the Eastern Canada Telemetred Network and spectral scaling, Bulletin of the Seismological Society of America, 73 (1983) 1041–1061.

T. C. Hanks, D. M. Boore, Moment-magnitude relations in theory and practice, Journal of Geophysical Research, 89 (1984) 6229–6235–784.

W. H. Bacun, Seismic moments, local magnitudes and coda-duration magnitudes for earthquakes in Central California, Bulletin of the Seismological Society of America, 74 (1984) 439–458.

J. Boatwright, Regional propagation characteristics and source parameters of earthquakes in northeastern North America, Bulletin of the Seismological Society of America, 84 (1994) 1–15.

L. B. Kvamme, R. A. Hansen, H. Bungum, Seismic-source and wave-propagation effects of Lg waves in Scandinavia, Geophysical Journal International, 120, (1995) 525–536.

J. Shi, W. Kim, P. G. Richards, The corner frequencies and stress drops of intraplate earthquakes in the northeastern United States, Bulletin of the Seismological Society of America, 88 (1998) 531–542.

E. M. Abdelrahman, M. M. Dessokey, H. M. Hussein, M. F. Abdelwahed, Estimation of seismic moments from local magnitudes and coda durations for the Cairo earthquake aftershocks recorded at Kottamyia (KEG) broadband station, Annals of Geophysics/Annali di Geofisica, 46 (2003) 1209–1216.

M. Arsovski, Tectonics of Macedonia. Rudarsko-Geoloski fakultet, Stip, 1997 (In Macedonian.)

D. Hadžievski, Seismicity of the Territory of the S. R. Macedonia. Seizmološka opservatorija na Univerzitetot "Kiril i Metodij", Skopje. (1976) (In Macedonian).

Qј. Ј ordanovski, L. Pekevski, V. Čejkovska, D. Černih, B. Hristovski, N. Vasilevski. Main Characteristics of the Seismicity of the Territory of the Republic of Macedonia. Univerzitet "Sv. Kiril i Metodij", Prirodno-matematički fakultet, Seizmološka opservatorija, Skopje. (1998) (In Macedonian).

J. N. Brune, Tectonic stress and spectra of seismic shear waves from Earthquakes, Journal of Geophysical Research, 75 (1970) 4997–5009.

J. N. Brune, Correction, Journal of Geophysical Research, 76 (1971) 5002.

UNDP/UNESCO: Tables des temps de propagation des ondes séismiques (Hodochrones) pour la région des Balkans. Manuel d‘Utilisation. Strasbourg, (1972) 55 p.

J Havskov,. L. Ottemöller, Seisan: The Earthquake Analysis Software for Windows, Solaris and Linux, Version 7.2. Institute of Solid Earth Physics, University of Bergen, Bergen, Norway (2001).

R. B. Herrmann, A. Kijko, Modelling some empirical vertical component Lg, Bulletin of the Seismological Society of America, 73 (1983) 157–171.

R. B. Herrmann, An extension of random vibration theory estimates of strong ground motion to large distances, Bulletin of the Seismological Society of America, 75 (1985). 1447–1453.

S. K. Singh,, R. J. Apsel, J. Fried, J. N. Brune, Spectral Attenuation of SH waves along Imperial Fault, Bulletin of the Seismological Society of America, 72, (1982) 2003–2016.

L. Pekevski, Propagation of Seismic Waves of Local and Regional Earthquakes. Univerzitet "Sv. Kiril i Metodij", Prirodno-matematicki fakultet, Seizmoloska opservatorija, Skopje. A doctorial thesis, (1999) (In Macedonian).




DOI: http://dx.doi.org/10.20903/csnmbs.masa.2006.27.1-2.8

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.



Contact details

Bul. Krste Misirkov br.2
1000 Skopje, Republic of Macedonia
Tel. ++389 2 3235-400
cell:++389 71 385-106
mail: manu@manu.edu.mk
About the journal

CSNMBS is a part of the MASA Contribution series. Published by the Section Natural, Mathematical and Biotechnical Sciences.
About this site

Maintained by the Researh center for Materials and Enviroment - MANU/MASA.
Site (including the theme) set, adapted by MASA - CSIT.