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Rapid directivity detection by azimuthal amplitude spectra inversion

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Abstract

An early detection of the presence of rupture directivity plays a major role in the correct estimation of ground motions and risks associated to the earthquake occurrence. We present here a simple method for a fast detection of rupture directivity, which may be additionally used to discriminate fault and auxiliary planes and have first estimations of important kinematic source parameters, such as rupture length and rupture time. Our method is based on the inversion of amplitude spectra from P-wave seismograms to derive the apparent duration at each station and on the successive modelling of its azimuthal behaviour. Synthetic waveforms are built assuming a spatial point source approximation, and the finite apparent duration of the spatial point source is interpreted in terms of rupture directivity. Since synthetic seismograms for a point source are calculated very quickly, the presence of directivity may be detected within few seconds, once a focal mechanism has been derived. The method is here first tested using synthetic datasets, both for linear and planar sources, and then successfully applied to recent Mw 6.2–6.8 shallow earthquakes in Peloponnese, Greece. The method is suitable for automated application and may be used to improve kinematic waveform modelling approaches.

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References

  • Beck SL, Silver P, Wallace TC, James D (1995) Directivity analysis of the deep Bolivian earthquake of June 9, 1994. Geophys Res Lett 22:2257–2260

    Article  Google Scholar 

  • Ben-Menahem A (1961) Radiation of seismic surface waves from finite moving sources. Bull Seismol Soc Am 51:401–453

    Google Scholar 

  • Ben-Menahem A, Singh SJ (1981) Seismic waves and sources. Springer, New York

    Google Scholar 

  • Bernard P, Madariaga R (1984) A new asymptotic method for the modelling of near-field accelerograms. Bull Seismol Soc Am 74:539–557

    Google Scholar 

  • Beroza GC, Spudich P (1988) Linearized inversion for fault rupture behaviour: application to the 1984 Morgan Hill, California, earthquake. J Geophys Res 93:6275–6296

    Article  Google Scholar 

  • Boore D, Joyner W (1978) The influence of rupture incoherence on seismic directivity. Bull Seismol Soc Am 68:283–300

    Google Scholar 

  • Brüstle W, Müller G (1987) Stopping phases in seismograms and the spatiotemporal extent of earthquakes. Bull Seismol Soc Am 1:47–68

    Google Scholar 

  • Caldeira B, Bezzeghoud M, Borges JF (2009) DIRDOP: a directivity approach to determining the seismic rupture velocity vector. J Seismol 14:565–600. doi:10.1007/s10950-009-9183-x

    Article  Google Scholar 

  • Cassidy JF (1995) Rupture directivity and slip distribution for the Ms 6.8 earthquake of 6 April 1992, Offshore British Columbia: an application of the empirical Green’s function method using surface waves. Bull Seismol Soc Am 85:736–746

    Google Scholar 

  • Cesca S, Heimann S, Stammler K, Dahm T (2010) Automated procedure for point and kinematic source inversion at regional distances. J Geophys Res 115:B06304. doi:10.1029/2009JB006450

    Article  Google Scholar 

  • Chouliaras G (2009) Seismicity anomalies prior to 8 June 2008, Mw 6.4 earthquake in Western Greece. Nat Hazards Earth Syst Sci 9:327–335

    Article  Google Scholar 

  • Dahm T, Krüger F (1999) Higher-degree moment tensor inversion using far-field broad-band recordings: theory and evaluation of the method with application to the 1994 Bolivia deep earthquake. Geophys J Int 137:35–50

    Article  Google Scholar 

  • Dahm T, Kruger F, Stammler K, Klinge K, Kind R, Wylegalla K, Grasso JR (2007) The 2004 Mw 4.4 Rotenburg, Northern Germany, Earthquake and its possible relationship with Gas Recovery. Bull Seismol Soc Am 97:691–704

    Article  Google Scholar 

  • Dreger D, Kaverina A (2000) Seismic remote sensing for the earthquake source process and near-source strong shaking: a case study of the October 16, 1999 Hector mine earthquake. Geophys Res Lett 27:1941–1944

    Article  Google Scholar 

  • Dziewonski AM, Anderson DL (1981) Preliminary reference earth model. Phys Earth Planet Int 25:297–356

    Article  Google Scholar 

  • Eshghi S, Zare M (2003) Reconnaisance report on 26 December 2003 Bam earthquake. International Institute of Earthquake Engineering (IIEES)

  • Gallovic F, Zahradnik J, Krizova D, Plicka V, Sokos E, Serpetsidaki A, Tselentis GA (2009) From earthquake centroid to spatial-temporal rupture evolution: Mw 6.3 Movri Mountain earthquake, June 8, 2008, Greece. Geophys Res Lett 36:L21310. doi:10.1029/2009GL040283

    Article  Google Scholar 

  • Ganas A, Serpelloni E, Drakatos G, Kolligri M, Adamis I, Tsimi C, Batsi E (2009) The Mw 6.4 SW-Achaia (western Greece) earthquake of 8 June 2008: seismological, field, GPS, observations and stress modeling. J Earthq Eng 8:1101–1124

    Google Scholar 

  • Hartzell SH (1978) Earthquake aftershocks as Green’s functions. Geophys Res Lett 5:1–4

    Article  Google Scholar 

  • Hartzell S, Heaton DV (1983) Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake. Bull Seismol Soc Am 83:1553–1583

    Google Scholar 

  • Hartzell S, Helmberger DV (1982) Strong-motion modelling of the Imperial Valley earthquake of 1979. Bull Seismol Soc Am 72:571–596

    Google Scholar 

  • Haskell NA (1964) Total energy and energy spectral density of elastic wave radiation from propagating faults. Bull Seismol Soc Am 54:1811–1841

    Google Scholar 

  • Heimann S (2010) A robust method to estimate kinematic earthquake source parameters. PhD Thesis, University of Hamburg, Germany, pp 145

  • Imanishi K, Takeo M (1998) Estimates of fault dimensions for small earthquakes using stopping phases. Geophys Res Lett 25:2897–2900

    Article  Google Scholar 

  • Imanishi K, Takeo M (2002) An inversion method to analyze rupture process of small earthquakes using stopping phases. J Geophys Res 107:ESE2.1–ESE2.16. doi:10.1029/2001JB000201

    Article  Google Scholar 

  • Kostantinou KI, Melis NS, Lee SJ, Evangelidis CP, Boukouras K (2009) Rupture process and aftershock relocation of the 8 June 2008 Mw 6.4 earthquake in Northwest Peloponnese, Western Greece. Bull Seismol Soc Am 99:3374–3389

    Article  Google Scholar 

  • Li Y, Toksöz MN (1993) Study of the source process of the 1992 Columbia Ms = 7.3 earthquake with the empirical Green’s function method. Geophys Res Lett 20:1087–1090

    Article  Google Scholar 

  • Madariaga R (1977) High-frequency radiation from crack (stress drop) models of earthquake faulting. Geophys J R Astron Soc 51:625–651

    Google Scholar 

  • Madariaga R (1983) High-frequency radiation from dynamic earthquake fault models. Ann Geophys 1:17–23

    Google Scholar 

  • McGuire JJ, Zhao L, Jordan TH (2001) Teleseismic inversion for the second-degree moments of earthquake space-time distributions. Geophys J Int 145:661–678

    Article  Google Scholar 

  • McGuire JJ, Zhao L, Jordan TH (2002) Predominance of unilateral rupture for a global catalog of large earthquakes. Bull Seismol Soc Am 92:3309–3317

    Article  Google Scholar 

  • Müller CS (1985) Source pulse enhancement by deconvolution of empirical Green’s functions. Geophys Res Lett 12:33–36

    Article  Google Scholar 

  • Nadim F, Moghtaderi-Zadeh M, Lindholm C, Andresen A, Remseth S, Bolourchi MJ, Mokhtari M, Tvedt T (2004) The Bam earthquake of 26 December 2003. Bull Earthquake Eng 2:119–153

    Article  Google Scholar 

  • Nielsen S, Madariaga R (2003) On the self-healing fracture mode. Bull Seismol Soc Am 93:2375–2388

    Article  Google Scholar 

  • Olson AJ, Apsel RJ (1982) Finite faults and inverse theory with applications to the 1979 Imperial Valley earthquake. Bull Seismol Soc Am 72:1969–2001

    Google Scholar 

  • Pro C, Buforn E, Udías A (2007) Rupture length and velocity for earthquakes in the Mid-Atlantic Ridge from directivity effects in body and surface waves. Tectonophysics 433:65–79

    Article  Google Scholar 

  • Roumelioti Z, Benetatos C, Kiratzi A (2009) the 14 February 2008 earthquake (M6.7) sequence offshore south Peloponnese (Greece): source models of the three strongest events. Tectonophysics 471:272–284

    Article  Google Scholar 

  • Selby N, Eshun E, Patton H, Douglas A (2005) Unusual long-period Rayleigh wave from a vertical dip-slip source: the 7 May 2001, North Sea earthquake. J Geophys Res 110:B10304. doi:10.1029/2005JB003721

    Article  Google Scholar 

  • Sokos E, Serpetsidaki A, Tselentis GA, Zahradnik J (2008) Quick assessment of the fault plane, for the recent strike-slip event in the North-Western Peloponnese, Greece, (8 June 2008, Mw 6.3). EMSC-CSEM Report

  • Spudich P, Frazer LN (1984) Use of ray theory to calculate high-frequency radiation from earthquake sources having spatially variable rupture velocity and stress drop. Bull Seismol Soc Am 74:2061–2082

    Google Scholar 

  • Underhill JR (1999) Late Cenozoic deformation of the Hellenide forelands, Western Greece. Geol Soc Am Bull 101:613–634

    Article  Google Scholar 

  • Vallée M (2007) Rupture properties of the giant sumatra earthquake imaged by empirical Green’s function analysis. Bull Seismol Soc Am 97:103–114

    Article  Google Scholar 

  • Vallée M, Bouchon M (2004) Imaging coseismic rupture in the far field by slip patches. Geophys J Int 156:615–630

    Article  Google Scholar 

  • Velasco AA, Ammon CJ, Lay T (1994) Empirical green function deconvolution of broadband surface waves: Rupture directivity of the 1992 Landers, California (Mw = 7.3), earthquake. Bull Seismol Soc Am 84:735–750

    Google Scholar 

  • Velasco AA, Ammon CJ, Farrell J, Pankow K (2004) Rupture directivity of the 3 November 2002 denali fault earthquake determined from surface waves. Bull Seismol Soc Am 94:293–299

    Article  Google Scholar 

  • Warren LM, Shearer PM (2006) Systematic determination of earthquake rupture directivity and fault planes from analysis of long-period P-wave spectra. Geophys J Int 164:46–62

    Article  Google Scholar 

  • Wells DL, Coppersmith KJ (1994) New empirical relations among magnitude, rupture length, rupture width, rupture area and surface displacements. Bull Seismol Soc Am 84:974–1002

    Google Scholar 

  • Wessel P, Smith WHF (1998) New improved version of the generic mapping tools released. Eos Trans AGU 79:579

    Article  Google Scholar 

  • Zahradnik J, Gallovic F, Sokos E, Serpetsidaki A, Tselentis GA (2008) Quick fault-plane identification by geometrical method: application to Mw 6.2 Leonidio earthquake, January 6, 2008, Greece. Seismol Res Lett 79:653–662

    Article  Google Scholar 

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  1. Institut für Geophysik, Universität Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany

    Simone Cesca, Sebastian Heimann & Torsten Dahm

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  1. Simone Cesca
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  2. Sebastian Heimann
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  3. Torsten Dahm
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Correspondence to Simone Cesca.

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Cesca, S., Heimann, S. & Dahm, T. Rapid directivity detection by azimuthal amplitude spectra inversion. J Seismol 15, 147–164 (2011). https://doi.org/10.1007/s10950-010-9217-4

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