1887
Volume 61, Issue 4
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Determining the focal mechanism of earthquakes helps us to better define faults and understand the stress regime. This technique can be helpful in the oil and gas industry where it can be applied to microseismic events. The objective of this paper is to find double couple focal mechanisms, excluding scalar seismic moments, and the depths of small earthquakes using data from relatively few local stations. This objective is met by generating three‐component synthetic seismograms to match the observed normalized velocity seismograms. We first calculate Green's functions given an initial estimate of the earthquake's hypocentre, the locations of the seismic recording stations and a 1D velocity model of the region for a series of depths. Then, we calculate the moment tensor for different combinations of strikes, dips and rakes for each depth. These moment tensors are combined with the Green's functions and then convolved with a source time function to produce synthetic seismograms. We use a grid search to find the synthetic seismogram with the largest objective function that best fits all three components of the observed velocity seismogram. These parameters define the focal mechanism solution of an earthquake. We tested the method using three earthquakes in Southern California with moment magnitudes of 5.0, 5.1 and 4.4 using the frequency range 0.1–2.0 Hz. The source mechanisms of the events were determined independently using data from a multitude of stations. Our results obtained, from as few as three stations, generally match those obtained by the Southern California Earthquake Data Center. The main advantage of this method is that we use relatively high‐frequency full‐waveforms, including those from short‐period instruments, which makes it possible to find the focal mechanism and depth of earthquakes using as few as three stations when the velocity structure is known.

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2013-01-07
2024-04-20
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References

  1. BouchonM.B.1981. A simple method to calculate Green's functions for elastic‐layered media. Bulletin of the Seismological Society of America 71, 959–971.
    [Google Scholar]
  2. BouchonM.B.2003. A review of the discrete wavenumber method. Pure and Applied Geophysics 160, 445–465.
    [Google Scholar]
  3. Crust 2.0
    Crust 2.0. A New Global Crustal Model at 2 × 2 Degrees [online]. Available at: http://igppweb.ucsd.edu/~gabi/crust2.html [accessed 20 July 2011.
  4. DregerD.S. and HelmbergerD.V.1993. Determination of source parameters at regional distances with three‐component sparse network data. Journal of Geophysical Research 98, 8107–8125.
    [Google Scholar]
  5. DregerD., UhrhammerR., PasyanosM., FranckJ. and RomanowiczB.1998. Regional and far‐regional earthquake locations and source parameters using sparse broadband networks: A test on the Ridgecrest sequence. Bulletin of the Seismological Society of America 88, 1353–1362.
    [Google Scholar]
  6. EricksonD., McNamaraD.E. and BenzH.M.2004. Frequency‐Dependent Lg Q within the Continental United States. Bulletin of the Seismological Society of America 94(5), 1630–1643.
    [Google Scholar]
  7. HardebeckJ.L. and ShearerP.M.2002. A new method for determining first‐motion focal mechanisms. Bulletin of the Seismological Society of America 93, 1875–1889.
    [Google Scholar]
  8. JonesL.E. and HelmbergerD.V.1998. Earthquake source parameters and fault kinematics in the eastern California shear zone. Bulletin of the Seismological Society of America 88(8), 1337–1352.
    [Google Scholar]
  9. LiJ., ZhangH., KuleliH.S. and ToksözM.N.2009. Focal Mechanism Determination using High Frequency, Full Waveform Information . Paper presented at the Society of Exploration Geophysicists International Explorations and 79th Annual Meeting, Houston, TX, October 2009.
    [Google Scholar]
  10. LiJ., ZhangH., KuleliH.S. and ToksözM.N.2011. Focal mechanism determination using high‐frequency waveform matching and its application to small magnitude induced earthquakes. Geophysical Journal International 184(3), 1261–1274.
    [Google Scholar]
  11. LuoY., TanT., WeiS., HelmbergerD., ZhanZ., NiS. et al . 2010. Source Mechanism and Rupture Directivity of the 18 May 2009 MW 4.6 Inglewood, California, Earthquake. Bulletin of the Seismological Society of America 100(6), 3269–3277.
    [Google Scholar]
  12. NakamuraM.2002. Determination of focal mechanism solution using initial motion polarity of P and S waves. Physics of the Earth and Planetary Interiors , 130(1–2), 17–29.
    [Google Scholar]
  13. NakamuraM.2004. Automatic determination of focal mechanism solution using initial motion polarities of P and S waves. Physics of the Earth and Planetary Interiors , 146(3–4), 531–549.
    [Google Scholar]
  14. RodgersA., PeterssonN.A., NilssonS., SjögreenB. and McCandlessK.2008. Broadband Waveform Modeling of Moderate Earthquakes in the San Francisco Bay Area and Preliminary Assessment of the USGS 3D Seismic Velocity Model. Bulletin of the Seismological Society of America 98(2), 969–988.
    [Google Scholar]
  15. RutledgeJ.T. and PhillipsW.S.2002. A comparison of microseismicity induced by gel‐proppant and water‐injected hydraulic fractures, Carthage Cotton Valley gas field, East Texas. 72nd Annual International Meeting, SEG: Expanded Abstracts, 2393–2396.
  16. ŠílenýJ. and VavryčukV.2002. Can unbiased source be retrieved from anisotropic waveforms by using an isotropic model of the medium Tectonphysics 356, 125–138.
    [Google Scholar]
  17. SokosE., ZahradníkJ., KiratziA., JanskýJ., GallovičF., NovotnýO. et al . (2012). The January 2010 Efpalio earthquake sequence in the western Corinth Gulf (Greece). Tectonophysics 530‐531, 299–309.
    [Google Scholar]
  18. Southern California Earthquake Data Center
    Southern California Earthquake Data Center. SCSN Digital & Analog Station List [online]. Available at: http://www.data.scec.org/stations/weblist.php [accessed 19 Dec 2008.
  19. SunY. and ToksozM.N.2006. Crustal structure of China and surrounding regions from P‐wave traveltime tomography. Journal of Geophysical Research 111, doi:10.1029/2005JB003962.
    [Google Scholar]
  20. TanY. and HelmbergerD.V.2007. A new method for determining small earthquake source parameters using short‐period P waves. Bulletin of the Seismological Society of America 97, 1176–1195.
    [Google Scholar]
  21. WellsD.L. and CoppersmithK.J.1994. New Empirical Relationships among Magnitude, Rupture Length, Rupture Width, Rupture Area, and Surface Displacement. Bulletin of the Seismological Society of America 84(4), 974–1002.
    [Google Scholar]
  22. ZhuL.P. and HelmbergerD.V.1996. Advancement in source estimation techniques using broadband regional seismograms. Bulletin of the Seismological Society of America 86, 1634–1641.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Focal mechanisms; Full‐waveform modelling

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