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Scaling and statistical trends of the apparent stress for heterogeneous seismic sources

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The apparent stress can be understood as the correlation integral of the slip velocity field over an earthquake rupture area (Senatorski, 2003). This means that the apparent stress is a macroscopic function, which can be expressed as an average of microscopic quantities describing details of the rupture process. Here it is shown, using this statistical mechanics approach and a view of the slip velocity pulse-like rupture propagation, that the apparent stress can be formulated as a function of three other macroscopic parameters - the seismic moment, the rupture area and the slip acceleration 0 treated as independent variables. Moreover, the scaling relationship for these quantities is derived. This relationship is used to explain statistical trends of the apparent stress and other macroscopic earthquake parameters observed in earthquake populations.
Rocznik
Strony
125--134
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
  • Institute of Geophysics, Polish Academy of Sciences, ul. Księcia Janusza 64, 01-452 Warszawa
Bibliografia
  • 1. Abercrombie, R.E., 1995, Earthquake source scaling relationships from - 1 to 5 ML using seismograms recordedat 2.5 km depth, J. Geophys. Res. 100, 24015-24036.
  • 2. Beroza, G.C., and T. Mikumo, 1996, Short slip duration in dynamic rupture in the presence of heterogeneous fault properties, J. Geophys. Res. 100, 21449-22460.
  • 3. Choy, L.G., and J.L. Boatwright, 1995, Global patterns of radiated seismic energy and apparent stress, J. Geophys. Res. 100, 18205-18228.
  • 4. Gibowicz, S.J., 2001, Radiated energy for seismic events induced by mining, Acta Geophys. Pol. 49, 95-111.
  • 5. Ide, S., and G.C. Beroza, 2001, Does apparent stress vary with earthquake sizel Geophys. Res. Lett. 28, 3349-3352.
  • 6. Izutani, Y., and H. Kanamori, 2001, Scale dependence of seismic energy-to-moment ratio for strike-slip earthquakes in Japan, Geophys. Res. Lett. 28, 4007-4010.
  • 7. Kanamori, H., and T.H. Heaton, 2000, Microscopic and macroscopic physics of earthquakes. In: J.B. Rundle, D.L. Turcotte and W. Klein (eds.), "Geo Complexity and Physics of Earthquakes", AGU Geophys. Monograph 120, 147-163, American Geophysical Union, Washington, D.C.
  • 8. Kanamori, H., J. Mori, E. Hauksson, T.H. Heaton, L.K. Hutton and M.L. Jones, 1993, Determination of earthquake energy release and ML using terrascope, Bull. Seism. Soc. Am. 81, 330-346.
  • 9. McGarr, A., 1999, On relating apparent stress to the stress causing earthquake fault slip, J. Geophys. Res. 104, 3003-3011.
  • 10. Savage, J.C., and M.D. Wood, 1971, The relation between apparent stress and stress drop, Bull. Seism. Soc. Am. 61, 1381-1388.
  • 11. Senatorski, P., 2001, Slip weakening and energy-moment scaling relationship, Acta Geophys. Pol. 49, 75-93.
  • 12. Senatorski, P., 2002, Slip weakening and interactive dynamics of an heterogeneous seismic source, Tectonophysics 344, 37-60.
  • 13. Senatorski, P., 2003, Random fluctuations of the apparent stress among heterogeneous seismic sources, Acta Geophys. Pol. 51, 23-36.
  • 14. Shaw, B.E., 1998, Far-field radiated energy scaling in elastodynamic earthquake fault models, Bull. Seism. Soc. Am. 88, 1457-1465.
  • 15. Wald, D.J., and T.H. Heaton, 1994, Spatial and temporal distribution of slip for the 1992 Landers, California, earthquake, Bull. Seism. Soc. Am. 84, 668-691.
  • 16. Wyss, M., and J.N. Brune, 1968, Seismic moment, stress, and source dimensions for earthquakes in the California-Nevada region, J. Geophys. Res. 73, 4681-4694.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0007-0036
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