Skip to main content

Advertisement

Log in

Stochastic source, path and site attenuation parameters and associated variabilities for shallow crustal European earthquakes

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

We have analyzed the recently developed pan-European strong motion database, RESORCE-2012: spectral parameters, such as stress drop (stress parameter, Δσ), anelastic attenuation (Q), near surface attenuation (κ 0) and site amplification have been estimated from observed strong motion recordings. The selected dataset exhibits a bilinear distance-dependent Q model with average κ 0 value 0.0308 s. Strong regional variations in inelastic attenuation were also observed: frequency-independent Q 0 of 1462 and 601 were estimated for Turkish and Italian data respectively. Due to the strong coupling between Q and κ 0, the regional variations in Q have strong impact on the estimation of near surface attenuation κ 0. κ 0 was estimated as 0.0457 and 0.0261 s for Turkey and Italy respectively. Furthermore, a detailed analysis of the variability in estimated κ 0 revealed significant within-station variability. The linear site amplification factors were constrained from residual analysis at each station and site-class type. Using the regional Q 0 model and a site-class specific κ 0, seismic moments (M 0) and source corner frequencies f c were estimated from the site corrected empirical Fourier spectra. Δσ did not exhibit magnitude dependence. The median Δσ value was obtained as 5.75 and 5.65 MPa from inverted and database magnitudes respectively. A comparison of response spectra from the stochastic model (derived herein) with that from (regional) ground motion prediction equations (GMPEs) suggests that the presented seismological parameters can be used to represent the corresponding seismological attributes of the regional GMPEs in a host-to-target adjustment framework. The analysis presented herein can be considered as an update of that undertaken for the previous Euro-Mediterranean strong motion database presented by Edwards and Fäh (Geophys J Int 194(2):1190–1202, 2013a).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Abrahamson NA, Silva WJ, Kamai R (2014) Summary of the ASK14 ground motion relation for active crustal regions. Earthq Spectra 30:1025–1055

    Article  Google Scholar 

  • Aki K (1967) Scaling laws of seismic spectrum. J Geophys Res 72:1217–1231

    Article  Google Scholar 

  • Akinci A, D’Amico S, Malagnini L, Mercuri A (2013) Scaling earthquake ground motions in western Anatolia, Turkey. Phys Chem Earth 63:124–135

    Article  Google Scholar 

  • Akinci A, Malagnini L, Herrmann R, Kalafat D (2014) High-frequency attenuation in the Lake Van Region, Eastern Turkey. Bull Seismol Soc Am 104(3):1400–1409

    Article  Google Scholar 

  • Akkar S, Sandıkkaya MA, Şenyurt M, Azari Sisi A, Ay BÖ, Traversa P, Douglas J, Cotton F, Luzi L, Hernandez B, Godey S (2014a) Reference database for seismic ground-motion in Europe (RESORCE). Bull Earthq Eng 12(1):311–339

    Article  Google Scholar 

  • Akkar S, Sandikkaya MA, Bommer JJ (2014b) Empirical ground-motion models for point- and extended-source crustal earthquake scenarios in Europe and the Middle East. Bull Earthq Eng 12(1):359–387

    Article  Google Scholar 

  • Anderson JG (1991) A preliminary descriptive model for the distance dependence of the spectral decay parameter in Southern California. Bull Seismol Soc Am 81:2186–2193

    Google Scholar 

  • Anderson JG, Hough SE (1984) A model for the shape of the fourier amplitude spectrum of acceleration at high frequencies. Bull Seismol Soc Am 74(5):1969–1993

    Google Scholar 

  • Askan A, Sisman F, Pekcan O (2014) A regional near-surface high frequency spectral attenuation (kappa) model for northwestern Turkey. Soil Dyn Earthq Eng 65:113–125

    Article  Google Scholar 

  • Atkinson GM (2004) Empirical attenuation of ground-motion spectral amplitudes in Southeastern Canada and the Northeastern United States. Bull Seismol Soc Am 94(3):1079–1095

    Article  Google Scholar 

  • Atkinson GM, Beresnev I (1997) Don’t call it stress drop. Seismol Res Lett 68(1):3–4

    Article  Google Scholar 

  • Atkinson GM, Boore DM (2011) Modifications to existing ground-motion prediction equations in light of new data. Bull Seismol Soc 101(3):1121–1135

    Article  Google Scholar 

  • Atkinson GM, Mereu RF (1992) The shape of ground motion attenuation curves in Southeastern Canada. Bull Seismol Soc Am 82(5):2014–2031

    Google Scholar 

  • Atkinson GM, Morrison M (2009) Observations on regional variability in ground-motion amplitudes for small-to-moderate earthquakes in North America. Bull Seismol Soc Am 99:2393–2409

    Article  Google Scholar 

  • Baltay AS, Hanks TC (2014) Understanding the magnitude dependence of PGA and PGV in NGA-West 2 data. Bull Seismol Soc Am 104(6):2851–2865

    Article  Google Scholar 

  • Bates D, Maechler M, Bolker B, Walker S (2015) Fitting linear mixed-effects models using lme4. J Stat Softw 67:1–48

    Article  Google Scholar 

  • Bay F, Fäh D, Malagnini L, Giardini D (2003) Spectral shear-wave ground-motion scaling in Switzerland. Bull Seismol Soc 93(1):414–429

    Article  Google Scholar 

  • Bindi D, Massa M, Luzi L, Ameri G, Pacor F, Puglia R, Augliera P (2014) Pan-European ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods up to 3.0 s using the RESORCE dataset. Bull Earthq Eng 12(1):391–430

    Article  Google Scholar 

  • Boore DM (1983) Stochastic Simulation of high frequency ground motions based on seismological models of the radiated spectra. Bull Seismol Soc Am 73(6):1865–1894

    Google Scholar 

  • Boore DM (2003) Simulation of ground motion using the stochastic method. Pure appl Geophys 160(3):635–676

    Article  Google Scholar 

  • Boore DM, Boatwright J (1984) Average body-wave radiation coefficients. Bull Seismol Soc Am 74(5):1615–1621

    Google Scholar 

  • Boore DM, Joyner WB (1997) Site amplifications for generic rock sites. Bull Seismol Soc Am 87(2):327–341

    Google Scholar 

  • Boore DM, Stewart JP, Seyhan E, Atkinson GM (2014) NGA-West2 equations for predicting PGA, PGV, and 5% damped PSA for shallow crustal earthquakes. Earthq Spectra 30(3):1057–1085

    Article  Google Scholar 

  • Bora SS, Scherbaum F, Kuehn N, Stafford P (2014) Fourier spectral- and duration models for the generation of response spectra adjustable to different source-, propagation-, and site conditions. Bull Earthq Eng 12(1):467–493

    Article  Google Scholar 

  • Bora SS, Scherbaum F, Kuehn N, Stafford P, Edwards B (2015) Development of a response spectral ground-motion prediction equation (GMPE) for seismic-hazard analysis from empirical fourier spectral and duration models. Bull Seismol Soc Am 105(4):2192–2218

    Article  Google Scholar 

  • Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75(26):4997–5009

    Article  Google Scholar 

  • Brune JN (1971) Correction. J Geophys Res 76(20):5002

    Article  Google Scholar 

  • Campbell KW (2003) Prediction of strong ground motion using the hybrid empirical method and its use in the development of ground-motion (Attenuation) relations in Eastern North America. Bull Seismol Soc Am 93(3):1012–1033

    Article  Google Scholar 

  • Campbell KW (2009) Estimates of shear-wave q and kappa(0) for un- consolidated and semi-consolidated sediments in eastern North America. Bull Seismol Soc Am 99:2365–2392

    Article  Google Scholar 

  • Campillo M, Bouchon M, Massinon B (1984) Theoretical study of the excitation, spectral characteristics, and geometrical attenuation of regional seismic phases. Bull Seismol Soc 74(1):79–90

    Google Scholar 

  • Chandler AM, Lam NT, Sang HH (2006) Near-surface attenuation modelling based on rock shear-wave velocity profile. Soil Dyn Earthq Eng 26:1004–1014

    Article  Google Scholar 

  • Chen SZ, Atkinson GM (2002) Global comparisons of earthquake source spectra. Bull Seismol Soc Am 92(3):885–895

    Article  Google Scholar 

  • Cotton F, Archuleta R, Causse M (2013) What is sigma of the stress drop? Seismol Res Lett 84(1):42–48

    Article  Google Scholar 

  • Derras B, Bard PY, Cotton F (2014) Towards fully data driven ground-motion prediction models for Europe. Bull Earthq Eng 12(1):495–516

    Article  Google Scholar 

  • Douglas J, Jousset P (2011) Modeling the difference in ground-motion magnitude scaling in small and large earthquakes. Seismol Res Lett 82(4):504–508

    Article  Google Scholar 

  • Douglas J, Gehl P, Bonilla LF, Gelis C (2010) A kappa model for mainland France. Pure appl Geophys 167:1303–1315

    Article  Google Scholar 

  • Drouet S, Chevrot S, Cotton F, Souriau A (2008) Simultaneous inversion of source spectra, attenuation parameters, and site responses: application to the data of the french accelerometric network. Bull Seismol Soc Am 98(1):198–219

    Article  Google Scholar 

  • Drouet S, Cotton F, Gueguen P (2010) nu(S30), kappa, regional attenuation and Mw from accelerograms: application to magnitude 3–5 French earthquakes. Geophys J Internat 182(2):880–898

    Article  Google Scholar 

  • Edwards B, Fäh D (2013a) Measurements of stress parameter and site attenuation from recordings of moderate to large earthquakes in Europe and the Middle East. Geophys J Internat 194(2):1190–1202

    Article  Google Scholar 

  • Edwards B, Fäh D (2013b) A stochastic ground-motion model for Switzerland. Bull Seismol Soc Am 103(1):78–98

    Article  Google Scholar 

  • Edwards B, Rietbrock A (2009) A comparative study on attenuation and source-scaling relations in the Kanto, Tokai, and Chubu regions of Japan, using data from Hi-net and kik-net. Bull Seismol Soc Am 99:2435–2460

    Article  Google Scholar 

  • Edwards B, Rietbrock A, Bommer JJ, Baptie B (2008) The Acquisition of source, path, and site effects from microearthquake recordings using Q tomography: application to the United Kingdom. Bull Seismol Soc Am 98(4):1915–1935

    Article  Google Scholar 

  • Edwards B, Fäh D, Giardini D (2011) Attenuation of seismic shear wave energy in Switzerland. Geophys J Internat 185(2):967–984

    Article  Google Scholar 

  • Edwards B, Michel C, Poggi V, Fäh D (2013) Determination of site amplification from regional seismicity: application to the Swiss National Seismic Networks. Seismol Res Lett 84(4):611–621

    Article  Google Scholar 

  • Edwards B, Ktenidou OJ, Cotton F, Abrahamson N, Van Houtte C, Fäh D (2015) Epistemic uncertainty and limitations of the κ0 model for near-surface attenuation at hard rock sites. Geophys J Internat 202(3):1627–1645

    Article  Google Scholar 

  • Edwards B, Cauzzi C, Danciu L, Fäh D (2016) Region-specific assessment, adjustment and weighting of ground motion prediction models: application to the 2015 Swiss Seismic Hazard Maps. Bull Seismol Soc Am 106(4):1840–1857

    Article  Google Scholar 

  • Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond Ser A Math Phys Sci 241:376–396

    Article  Google Scholar 

  • Goertz-Allmann BP, Edwards B (2014) Constraints on crustal attenuation and three-dimensional spatial distribution of stress drop in Switzerland. Geophys J Int 196:493–509

    Article  Google Scholar 

  • Hanks TC (1979) B values and ω−y seismic source models: implications for tectonic stress variations along active crustal fault zones and the estimation of high-frequency strong ground motion. J Geophys Res 84:2235–2242

    Article  Google Scholar 

  • Hanks TC, Kanamori H (1979) A moment magnitude scale. J Geophys Res B Solid Earth 84:2348–2350

    Article  Google Scholar 

  • Hanks TC, McGuire RK (1981) The character of high-frequency strong ground motion. Bull Seismol Soc Am 71(6):2071–2095

    Google Scholar 

  • Hatzidimitrou PM (1995) S-wave attenuation in the crust in northern Greece. Bull Seismol Soc Am 85(5):1381–1387

    Google Scholar 

  • Hermkes M, Kuehn N, Riggelsen C (2014) Simultaneous quantification of epistemic and aleatory uncertainty in GMPEs using Gaussian process regression. Bull Earthq Eng 12:449–466

    Article  Google Scholar 

  • Hough SE, Anderson JG, Brune J, Vernon F, Berger J, Fletcher J, Haar L, Hanks L, Baker L (1988) Attenuation near Anza,California. Bull Seismol Soc Am 78(2):672–691

    Google Scholar 

  • Joyner WB, Warrick RE, Fumal TE (1981) The effect of quaternary alluvium on strong ground motion in the Coyote Lake, California, earthquake of 1979. Bull Seismol Soc Am 71(4):1333–1349

    Google Scholar 

  • Kilb D, Glenn B, Anderson JG, Brune J, Zhigang P, Vernon F (2012) A comparison of spectral parameter kappa from small and moderate earthquakes using Southern California ANZA seismic network data. Bull Seismol Soc Am 102(1):284–300

    Article  Google Scholar 

  • Konno K, Ohmachi T (1998) Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor. Bull Seismol Soc America 88(1):228–241

    Google Scholar 

  • Kotha SR, Bindi D, Cotton F (2016) Partially non-ergodic region specific GMPE for Europe and Middle-East. Bull Earthq Eng 14(4):1245–1263

    Article  Google Scholar 

  • Ktenidou O-J, Cotton F, Abrahamson NA, Anderson JG (2014) Taxonomy of kappa: a review of definitions and estimation approaches targeted to applications. Seismol Res Lett 85(1):135–146

    Article  Google Scholar 

  • Ktenidou O-J, Abrahamson NA, Drouet S, Cotton F (2015) Understanding the physics of kappa (κ): insights from a downhole array. Geophys J Int 203:678–691

    Article  Google Scholar 

  • Kuehn N, Scherbaum F (2016) A partially non-ergodic ground-motion prediction equation for Europe and the Middle East. Bull Earthq Eng 14(10):2629–2641

    Article  Google Scholar 

  • Kurtulmus TÖ, Akyol N (2013) Crustal attenuation characteristics in western Turkey. Geophys J Int 195:1384–1395

    Article  Google Scholar 

  • Malagnini L, Herrmann RB (2000) Ground-motion scaling in the region of the 1997 Umbria-Marche Earthquake (Italy). Bull Seismol Soc America 90(4):1041–1051

    Article  Google Scholar 

  • Malagnini L, Herrmann RB, Koch K (2000) Regional ground-motion scaling in Central Europe. Bull Seismol Soc America 90(4):1052–1061

    Article  Google Scholar 

  • Malagnini L, Akinci A, Herrmann RB, Pino NA, Scognamiglio L (2002) Characteristics of the ground motion in Northeastern Italy. Bull Seismol Soc America 92(6):2186–2204

    Article  Google Scholar 

  • Malagnini L, Scognamiglio L, Mercuri A, Akinci A, Mayeda K (2008) Strong evidence for non-similar earthquake source scaling in central Italy. Geophys Res Lett 35:L17303

    Article  Google Scholar 

  • Malagnini L, Akinci A, Mayeda K, Munafo I, Herrmann RB, Mercuri A (2011) Characterization of earthquake-induced ground motion from the L’Aquila seismic sequence of 2009, Italy. Geophys J Int 184:325–337

    Article  Google Scholar 

  • Margaris BN, Boore D (1998) Determination of Δσ and κ0 from response spectra of large earthquakes in Greece. Bull Seismol Soc Am 88(1):170–182

    Google Scholar 

  • McGuire RK, Hanks TC (1980) RMS acceleration and spectral amplitudes of strong ground-motion during the San Fernando, California earthquake. Bull Seismol Soc Am 70(5):1907–1919

    Google Scholar 

  • Molkenthin C, Scherbaum F, Griewank A, Kuehn N, Stafford PJ (2014) A Study of the sensitivity of response spectral amplitudes on seismological parameters using algorithmic differentiation. Bull Seismol Soc Am 104(5):2240–2252

    Article  Google Scholar 

  • Morozov IB (2008) Geometrical attenuation, frequency dependence of Q, and the absorption band problem. Geophys J Int 175:239–252

    Article  Google Scholar 

  • Morozov IB (2009) Thirty years of confusion around “scattering Q”? Seismol Res Lett 80:5–7

    Article  Google Scholar 

  • Pacor F, Spallarossa D, Oth A, Luzi L, Puglia R, Cantore L, Mercuri A, D’Amico M, Bindi D (2016) Spectral models for ground motion prediction in the L’Aquila region (central Italy): evidence for stress-drop dependence on magnitude and depth. Geophys J Int 204:697–718

    Article  Google Scholar 

  • Parolai S, Bindi D (2004) Influence of soil-layer properties on k evaluation. Bull Seismol Soc Am 94(1):349–356

    Article  Google Scholar 

  • Poggi V, Edwards B, Fäh D (2011) Derivation of a reference shear-wave velocity model from empirical site amplification. Bull Seismol Soc Am 101(1):258–274

    Article  Google Scholar 

  • Polatidis A, Kiratzi A, Hatzidimitriou PM, Margaris B (2003) Attenuation of shear-waves in the back-arc region of the Hellenic arc for frequencies from 0.6 to 16 Hz. Tectonophysics 367:29–40

    Article  Google Scholar 

  • Scherbaum F, Schmedes J, Cotton F (2004) On the conversion of source-to-site distance measures for extended earthquake source models. Bull Seismol Soc Am 94(3):1053–1069

    Article  Google Scholar 

  • Singh SK, Apsel J, Fried J, Brune JN (1982) Spectral attenuation of SH waves along the imperial fault. Bull Seismol Soc Am 72(6):2003–2016

    Google Scholar 

  • Van Houtte C, Drouet S, Cotton F (2011) Analysis of the origins of kappa (Kappa) to compute hard rock to rock adjustment factors for GMPEs. Bull Seismol Soc Am 101(6):2926–2941

    Article  Google Scholar 

  • Yenier E, Atkinson GM (2015a) An equivalent point-source modeling of moderate-to-large magnitude earthquakes and associated ground-motion saturation effects. Bull Seismol Soc Am 105(3):1435–1455

    Article  Google Scholar 

  • Yenier E, Atkinson GM (2015b) Regionally adjustable generic ground-motion prediction equation based on equivalent point-source simulations: application to central and eastern North America. Bull Seismol Soc Am 105(4):1989–2009

    Article  Google Scholar 

Download references

Acknowledgements

This work was funded by the SIGMA Project. Dino Bindi and Olga Ktenidou are thanked for their useful discussions, comments and feedbacks. Solveig Strutzke is thanked for useful help in formatting the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sanjay Singh Bora.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bora, S.S., Cotton, F., Scherbaum, F. et al. Stochastic source, path and site attenuation parameters and associated variabilities for shallow crustal European earthquakes. Bull Earthquake Eng 15, 4531–4561 (2017). https://doi.org/10.1007/s10518-017-0167-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-017-0167-x

Keywords

Navigation