Abstract
The strike slip Yammouneh fault is the longest fault in Lebanon, crossing the territory from South to North. It was responsible for major historical earthquakes like the 1202 A.D. earthquake, estimated to Ms7.6. This paper presents a site-specific estimation of the ground motion caused by a potential Mw7.5 earthquake on the Yammouneh fault, similar to the 1202 event, for various sites within the Beirut area. The empirical Green’s function technique EGF is used to estimate the median and the standard deviations of the seismic ground motion at the reference station BHL, taking into account epistemic and aleatory uncertainties related to source parameters. These uncertainties were quantified through a sensitivity analysis of the position of the rupture nucleation Xnuc, the slip roughness parameter K, the corner frequency fc and the magnitude Mc of the EGF. The rock ground motion is then transferred to various other sites within the Beirut area, using instrumental Fourier transfer functions. Site amplification factors are next deduced by computing the ratio between response spectra at sediment sites and at a reference rock station. Considering the limits of the EGF method in the near field of extended sources, the EGF approach is considered only up to a magnitude Mw of 6.5. Selected Ground Motion Predictive Equations are then used to simulate a Mw7.5 event at a reference station. By applying the amplification factors, the response spectra at the different sites of Beirut are also calculated and compared with the actual response spectra used in the Lebanese regulations.
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References
Abrahamson N, Silva W (2008) Summary of the Abrahamson & Silva NGA ground-motion relations. Earthq Spectra 24(1):67–97
Aki K (1967) Scaling law of seismic spectrum. J Geophys Res 72(4):1217–1231
Akkar S, Bommer J (2010) Empirical equations for the prediction of PGA, PGV, and spectral accelerations in Europe, the Mediterranean region, and the Middle East. Seismol Res Lett 81(2):195–206
Allmann BP, Shearer PM (2009) Global variations of stress drop for moderate to large earthquakes. J Geophys Res. doi:10.1029/2008JB005821
Ambraseys NN, Melville CP (1988) An analysis of the eastern Mediterranean earthquake of 20 May 1202. In: Lee WHK, Meyers H, Shimazaki K (eds) Historical seismograms and earthquakes of the world. Academic Press, San Diego, pp 181–200
Bazzurro P, Cornell A (2004) Ground-motion amplification in nonlinear soil sites with uncertain properties. Bull Seismol Soc Am 94:2090–2109
Bernard P, Herrero A, Berge C (1996) Modeling directivity of heterogeneous earthquake ruptures. Bull Seismol Soc Am 86(4):1149–1160
Bommer J (2006) Empirical ground-motion estimation: advances and issues. In: Proceedings of IAEE/IASPEI symposium on effects of surface geology on ground motion, Grenoble, France, 30 August–1 September
Bora SS, Scherbaum F, Kuhn N, Stafford P (2016) On the relationship between fourier and response spectra: implications for the adjustment of empirical ground-motion prediction equations (GMPEs). Bull Seismol Soc Am 106(3):1235–1253
Borcherdt RD (1994) Estimates of site-dependent response spectra for design (methodology and justification). Earthq Spectra 10(4):617–653
Bour M, Cara M (1997) Test of a simple empirical Green’s function method on moderate-sized earthquakes. Bull Seismol Soc Am 87(3):668–683
Brax M (2013) Aléa et Microzonage Sismiques à Beyrouth. PhD thesis, Université de Grenoble
Brax M, Cornou C, Voisin C, Bard PY (2014) Mapping the fundamental frequencies in the city of beirut using ambient noise measurements. In: Second European conference on earthquake engineering and seismology, Istanbul, 24–29 August 2014, paper 868
Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75:4997–5009
Cadet H, Duval AM (2009) A shear wave velocity study based on the Kik-net borehole data: a short note. Seismol Res Lett 80(3):440–445
Candela T, Renard F, Bouchon M, Schmittbuhl J, Brodsky E (2012) Stress drop during earthquakes: effect of fault roughness scaling. Bull Seismol Soc Am 101:2369–2387
Causse M, Cotton F, Cornou C, Bard PY (2008) Calibrating median and uncertainty estimates for a practical use of empirical green’s functions technique. Bull Seismol Soc Am 98(1):344–353
Causse M, Chaljub E, Cotton F, Cornou C, Bard PY (2009) New approach for coupling k-2 and empirical Green functions: application to the blind prediction of broad-band ground motion in the Grenoble basin. Geophys J Int 179(3):1627–1644
Causse M, Cotton F, Mai PM (2010) Constraining the roughness degree of sip heterogeneity. J Geophys Res 115:B05304
Cauzzi C, Faccioli E (2008) Broadband (0.05 to 20 s) prediction of displacement response spectra based on worldwide digital records. J Seismol 12:453–475
Cotton F, Pousse G, Bonilla F, Scherbaum F (2008) On the discrepancy of recent European ground-motion observations and predictions from empirical models: analysis of KiK-net accelerometric data and point-sources stochastic simulations. Bull Seismol Soc Am 98(5):2244–2261
Cultrera G, Cirella A, Spagnuolo E, Herrero A, Tinti E (2010) Variability of kinematic source parameters and its implication on the choice of the design scenario. Bull Seismol Soc Am 100:941–953
Custodio S, Archuleta R (2007) Parkfield earthquakes: characteristic or complementary? Geophys Res Lett. doi:10.1029/2006JB004617
Daëron M (2005) Rôle, cinématique et comportement sismique à long terme de la faille de Yammouoneh. PhD thesis, IPG-Paris
Daëron M, Klinger Y, Tapponnier P, Elias A, Jacques E, Sursock A (2005) Sources of the large A.D. 1202 and 1759 near east earthquakes. Geology 33(7):529–532
Daëron M, Klinger Y, Tapponnier P, Elias A, Jacques E, Sursock A (2007) 12,000-Year-long record of 10 to 13 paleoearthquakes on the Yammouneh fault, Levant fault system, Lebanon. Bull Seismol Soc Am 97(3):749–771
Douglas J, Akkar S, Ameri G, Bard PY, Bindi D, Bommer JJ, Bora SS, Cotton F, Derras B, Hermkes M, Kuehn NM, Luzi L, Massa M, Pacor F, Riggelsen C, Sandikkaya MA, Scherbaum F, Stafford PJ, Traversa P (2014) Comparisons among the five ground-motion models developed using RESORCE for the prediction of response spectral accelerations due to earthquakes in Europe and the Middle East. Bull Earthq Eng 12(1):341–358
Dubertret L (1945) Géologie du site de Beyrouth avec carte géologique au 1/20.000
Field EH, Johnson PA, Beresnev IA, Zeng Y (1997) Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake. Nature 390:599–602
Field EH, Zeng Y, Johnson PA, Beresnev IA (1998) Nonlinear sediment response during the 1994 Northridge earthquake: observations and finite source simulations. J Geophys Res Solid Earth 103(B11):26869–26883
Gallovic F, Brokesova J (2004) On strong ground motion synthesis with k-2 slip distributions. J Seismol 8:211–224
Gregor N, Abrahamson NA, Atkinson GM, Boore DM, Bozorgnia Y, Campbell KW, Chiou BSJ, Idriss IM, Kamai R, Seyhan E, Silva W, Stewart JP, Youngs R (2014) Comparison of NGA-West2 GMPEs. Earthq Spectra 30(3):1179–1197
Hartzell SH (1978) Earthquake aftershocks as Green’s functions. Geophys Res Lett 5(1):1–4
Herrero A, Bernard P (1994) A kinematic self-similar rupture process for earthquakes. Bull Seismol Soc Am 84(4):1216–1228
Huijer C, Harajli M, Sadek S (2016) Re-evaluation and updating of the seismic hazard of Lebanon. J Seismol 20:233–250
IBC (2009) International building code IBC. International Code Council, INC, USA
Irikura K, Kamae K (1994) Estimation of strong ground motion in broad-frequency band based on a seismic source scaling model and an empirical Green’s function technique. Annali di Geofisica XXXVII(6):1721–1743
Kamai R, Abrahamson NA, Silva WJ (2014) Nonlinear horizontal site amplification for constraining the NGA-West 2 GMPEs. Earthq Spectra 30:1223–1240
Kohrs-Sansorny C, Courboulex F, Bour M, Deschamps A (2005) Method for ground-motion simulation using stochastic summation of small earthquakes. Bull Seismol Soc Am 95(4):1387–1400
Mai PM, Spudich P, Boatwright J (2005) Hypocenter locations in finite-source rupture models. Bull Seismol Soc Am 95(3):965–980
Mayeda K, Malagnini L (2010) Source radiation invariant property of local and near-regional shearwave coda: application to source scaling for the Mw 5.9 Wells, Nevada sequence. Geophys Res Lett 37:L07306. doi:10.1029/2009GL042148
McKay MD (1988) Uncertainty analysis, sensitivity and uncertainty analysis using a statistical sample of input values. CRC Press, Boca Raton
McVerry G, Zhao J, Abrahamson N, Somerville P (2006) New Zealand acceleration response spectrum attenuation relations for crustal and subduction zone earthquakes. Bull N Z Soc Earthq Eng 39(1):1–58
NL135 (2012) Protection from earthquakes: general rules. Lebanese Standards Institution LIBNOR, Lebanon
Pavic R, Koller M, Bard PY, Lacave-Lachet C (2000) Ground motion prediction with the empirical Green’s function technique: an assessment of uncertainties and confidence level. J Seismol 4:59–77
PS92 (1995) DTU Règles PS92, Règles de Construction Parasismique
Renault P (2014) Approach and challenges for the seismic hazard assessment of nuclear power plants: the Swiss experience. Bollettino di Geofisica Teorica ed Applicata 55(1):149–164
Robinson EA (1954) Predictive decomposition of time series with applications to seismic exploration. PhD thesis, MIT
Robinson EA (1957) Predictive decomposition of seismic traces. Geophysics 22(4):767–778
Robinson EA (1967) Predictive decomposition of time series with application to seismic exploration. Geophysics 32(3):418–484
Sadek S, Harajli M, Asbahan R (2004) A GIS-based framework for the evaluation of seismic geo-hazards in the greater Beirut area. In: 11th international conference on soil dynamics and earthquake engineering and the 3rd international conference on earthquake geotechnical engineering, Berkley, CA, USA
Scherbaum F, Delavaud E, Riggelsen C (2009) Model selection in seismic hazard analysis: an information-theoretic perspective. Bull Seismol Soc Am 99(6):3234–3247
Seyhan E, Stewart JP (2014) Semi-empirical nonlinear site amplification from NGA-West 2 data and simulations. Earthq Spectra 30:1241–1256
UBC97 (1997) Uniform Building Code UBC 97. In: International conference of building officials, Whittier, California
Walling M, Silva WJ, Abrahamson NA (2008) Non-linear site amplification factors for constraining the NGA models. Earthq Spectra 24:243–255
Wessel P, Smith WHF (1998) New, improved version of the generic mapping tools released. EOS Trans AGU 79:579
Acknowledgments
We gratefully acknowledge the General Secretary of the Lebanese National Council for Scientific Research (CNRSL) M. Hamzé, the director of the geophysical research center (CRG-CNRSL) A. Sursock and all the team of the CRG especially R. Jomaa for their invaluable support. We wish to thank F. Cotton and S. Drouet for the advice and help in choosing the adequate GMPEs for the Lebanese context. This research has been funded by the Lebanese National Council for Scientific Research CNRSL, by Institut de la Recherche pour le Développement (IRD) and by Agence française pour la promotion de l’enseignement supérieur, l’accueil et la mobilité international (Campus France, Beyrouth). We thank G. Cultrera and two anonymous reviewers whose comments and suggestions helped improve and clarify this manuscript.
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Brax, M., Causse, M. & Bard, PY. Ground motion prediction in Beirut: a multi-step procedure coupling empirical Green’s functions, ground motion prediction equations and instrumental transfer functions. Bull Earthquake Eng 14, 3317–3341 (2016). https://doi.org/10.1007/s10518-016-0004-7
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DOI: https://doi.org/10.1007/s10518-016-0004-7