Abstract
In the wake of recent 2020 ML ≥ 5.5 earthquakes in Croatia, Zagreb ML5.5 and Petrinja ML6.2, the insufficient instrumental network as well as the lack of regional ground motion prediction equation (GMPE) were identified as the drawbacks of our engineering community. The former is related to the quality definition of active seismicity (most of the instruments are installed in the southern part of Croatia with fewer installed around Zagreb in the northwestern part of Croatia), and the latter is related to the proper number of strong motion recordings. In Croatia, there is a sparse database of ground motion recordings for moderate earthquakes which makes a well-designed ground motion selecting procedure hardly achievable. Following this, strong motion BSHAP database for empirical estimation of the response spectrum based on Fourier amplitude spectrum and the ground motion duration using Random Vibration Theory approach adjusted to source, propagation, and local site conditions was used. Regionally adjusted ground motion model estimations for the ML6.2 Petrinja 2020 earthquake scenario are comparable with the previously published GMPEs models for this part of Europe and for the Western part of North America. However, model-to-model variability and uncertainties in local GMPE exceeded those of global GMPEs and are influenced by statistically less stable and more limited datasets. Model is applicable for magnitudes up to Mw6.5 and Joyner-Boore distances up to 200 km with usable frequency range between 0.4 and 33 Hz. The presented model is a step forward toward performing hybrid-empirical seismic hazard studies in areas with sparse ground motions such as the region of Croatia.
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References
Abrahamson N. and Silva W., 2008. Summary of the Abrahamson & Silva NGA ground-motion relations. Earthq. Spectra, 24, 67–97, DOI: https://doi.org/10.1193/1.2924360
Abrahamson N.A. and Silva W.J., 1997. Empirical response spectral attenuation relations for shallow crustal earthquakes. Seismol. Res. Lett., 68, 94–127, DOI: https://doi.org/10.1785/gssrl.68.1.94
Abrahamson N.A., Silva W.J. and Kamai R., 2014. Summary of the ASK14 ground motion relation for active crustal regions. Earthq. Spectra, 30, 1025–1055, DOI: https://doi.org/10.1193/070913EQS198M
Abrahamson N.A. and Youngs R.R., 1992. A stable algorithm for regression analyses using the random effects model. Bull. Seismol. Soc. Amer., 82, 505–510, DOI: https://doi.org/10.1785/BSSA0820010505
Afshari K. and Stewart J.P., 2016. Physically parameterized prediction equations for significant duration in active crustal regions. Earthq. Spectra, 32, 2057–2081, DOI: https://doi.org/10.1193/063015EQS106M
Akkar S., Kale O., Yenier E. and Bommer J., 2011. The high-frequency limit of usable response spectral ordinates from filtered analogue and digital strong-motion accelerograms. Earthq. Eng. Struct. Dyn., 40, 1387–1401, DOI: https://doi.org/10.1002/eqe.1095
Akkar S., Sandıkkaya M.A. and Bommer J.J., 2013. Empirical ground-motion models for point- and extended-source crustal earthquake scenarios in Europe and the Middle East. Bull. Earthq. Eng., 12, 389–390
Anderson J. and Hough S., 1984. A model for the shape of the Fourier amplitude spectrum at high frequencies. Bull. Seismol. Soc. Amer., 74, 1969–1993
Atik L.A., Abrahamson N., Bommer J.J., Scherbaum F., Cotton F. and Kuehn N., 2010. The Variability of Ground-Motion Prediction Models and Its Components. Seismol. Res. Lett., 81, 794–801, DOI: https://doi.org/10.1785/gssrl.81.5.794
Atkinson G.M. and Boore D.M., 2006. Earthquake ground-motion prediction equations for Eastern North America. Bull. Seismol. Soc. Amer., 96, 2181–2205, DOI: https://doi.org/10.1785/0120050245
Atkinson G.M. and Boore D.M., 1995. Ground-motion relations for eastern North America. Bull. Seismol. Soc. Amer., 85, 17–30, DOI: https://doi.org/10.1785/BSSA0850010017
Bolt B.A., 1973. Duration of strong ground motion. Proceedings of the 5th World Conference on Earthquake Engineering, 1304–1313
Bommer J.J., Dost B., Edwards B., Kruiver P.P., Ntinalexis M., Rodriguez-Marek A., Stafford P.J. and van Elk J., 2017. Developing a model for the prediction of ground motions due to earthquakes in the Groningen gas field. Neth. J. Geosci., 96, S203–S213, DOI: https://doi.org/10.1017/njg.2017.28
Bommer J.J. and Martínez-Pereira A., 1999. The effective duration of earthquake strong motion. J. Earth. Eng., 3, 127–172, DOI: https://doi.org/10.1142/S1363246999000077
Bommer J.J., Stafford P.J. and Alarcón J.E., 2009. Empirical equations for the prediction of the significant, bracketed, and uniform duration of earthquake ground motion. Bull. Seismol. Soc. Amer., 99, 3217–3233, DOI: https://doi.org/10.1785/0120080298
Boore D.M., 1983. Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. Bull. Seismol. Soc. Amer., 73, 1865–1894, DOI: https://doi.org/10.1785/BSSA07306A1865
Boore D.M., 2003. Simulation of ground motion using the stochastic method. Pure Appl. Geophys., 160, 635–676, DOI: https://doi.org/10.1007/PL00012553
Boore D.M. and Atkinson G.M., 2008. Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s. Earthq. Spectra, 24, 99–138, DOI: https://doi.org/10.1193/1.2830434
Boore D.M. and Joyner W.B., 1984. A note on the use of random vibration theory to predict peak amplitudes of transient signals. Bull. Seismol. Soc. Amer. 74, 2035–2039, DOI: https://doi.org/10.1785/BSSA0740052035
Boore D.M., Stewart J.P., Seyhan E. and Atkinson G.M., 2014. NGA-West2 equations for predicting PGA, PGV, and 5% damped PSA for shallow crustal earthquakes. Earthq. Spectra, 30, 1057–1085, DOI: https://doi.org/10.1193/070113EQS184M
Boore D.M. and Thompson E.M., 2012. Empirical improvements for estimating earthquake response spectra with Random-Vibration Theory. Bull. Seismol. Soc. Amer., 102, 761–772, DOI: https://doi.org/10.1785/0120110244
Bora S.S., Scherbaum F., Kuehn N. and 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, 467–493, DOI: https://doi.org/10.1007/s10518-013-9482-z
Bora S.S., Scherbaum F., Kuehn N. and 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. Amer., 106, 1235–1253, DOI: https://doi.org/10.1785/0120150129
Bora S., Scherbaum F., Kuehn N., Stafford P. and 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. Amer., 105, 2192–2218, DOI: https://doi.org/10.1785/0120140297
Brune J.N., 1970. Tectonic stress and the spectra of seismic shear waves from earthquakes. J. Geophys. Res., 75, 4997–5009, DOI: https://doi.org/10.1029/JB075i026p04997
Campbell K., 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. Amer., 93, 1012–1033, DOI: https://doi.org/10.1785/0120020002
Campbell K. and Bozorgnia Y., 2008. NGA Ground motion model for the geometric mean horizontal component of PGA, PGV, PGD and 5% damped linear elastic response spectra for periods ranging from 0.01 to 10 s. Earthq. Spectra, 24, 139–171, DOI: https://doi.org/10.1193/1.2857546
Campbell K.W. and Bozorgnia Y., 2014. NGA-West2 ground motion model for the average horizontal components of PGA, PGV, and 5% damped linear acceleration response spectra. Earthq. Spectra, 30, 1087–1115, DOI: https://doi.org/10.1193/062913EQS175M
Cartwright D.E. and Longuet-Higgins M.S., 1956. the statistical distribution of the maxima of a random function. Proc. R. Soc. A Math. Phys. Eng. Sci., 237, 212–232, DOI: https://doi.org/10.1098/rspa.1956.0173
Chiou B.-J. and Youngs R.R., 2008. An NGA model for the average horizontal component of peak ground motion and response spectra. Earthq. Spectra, 24, 173–215, DOI: https://doi.org/10.1193/1.2894832
Chiou B.S.-J. and Youngs R.R., 2014. Update of the Chiou and Youngs NGA model for the average horizontal component of peak ground motion and response spectra. Earthq. Spectra, 30, 1117–1153, DOI: https://doi.org/10.1193/072813EQS219M
Douglas J., 2021. Ground Motion Prediction Equations (1964-2021). http://www.gmpe.org.uk
Frankel A., Mueller C., Barnhard T., Perkins D., Leyendecker E.V., Dickman N., Hanson S. and Hopper M., 1996. National Seismic-Hazard Maps. Documentation June 1996, Open-File Report 96–532, U.S. Geological Survey
Gülerce Z., Kargoığlu B. and Abrahamson N.A., 2016. Turkey-adjusted NGA-Wl horizontal ground motion prediction models. Earthq. Spectra, 32, 75–100, DOI: https://doi.org/10.1193/022714EQS034M
Hanks T.C., 1982. fmax. Bull. Seismol. Soc. Amer., 72, 1867–1879, DOI: https://doi.org/10.1785/BSSA07206A1867
Hanks T.C. and Kanamori H., 1979. A moment magnitude scale. J. Geophys. Res.-Solid Earth, 84, 2348–2350, DOI: https://doi.org/10.1029/JB084iB05p02348
Hanks T.C. and McGuire R.K., 1981. The character of high-frequency strong ground motion. Bull. Seismol. Soc. Amer., 71, 2071–2095, DOI: https://doi.org/10.1785/BSSA0710062071
Herak M., Markušić S. and Ivančić I., 2001. Attenuation of peak horizontal and vertical acceleration in the Dinarides area. Stud. Geophys. Geod., 45, 383–394, DOI: https://doi.org/10.1023/A:1022077603943
Idriss I.M., 2008. An NGA empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes. Earthq. Spectra, 24, 217–242, DOI: https://doi.org/10.1193/1.2924362
Idriss I.M., 2014. An NGA-West2 empirical model for estimating the horizontal spectral values generated by shallow crustal earthquakes. Earthq. Spectra, 30, 1155–1177, DOI: https://doi.org/10.1193/070613EQS195M
Kamai R., Abrahamson N.A. and Silva W.J., 2014. Nonlinear horizontal site amplification for constraining the NGA-West2 GMPEs. Earthq. Spectra, 30, 1223–1240, DOI: https://doi.org/10.1193/070113EQS187M
Kempton J.J. and Stewart J.P., 2006. Prediction equations for significant duration of earthquake ground motions considering site and near-source effects. Earthq. Spectra, 22, 985–1013, DOI: https://doi.org/10.1193/1.2358175
Kotha S.R., Bindi D. and Cotton F., 2022. A regionally adaptable ground-motion model for fourier amplitude spectra of shallow crustal earthquakes in Europe. Bull. Earthq. Eng., 20, 711–740, DOI: https://doi.org/10.1007/s10518-021-01255-1
Kottke A.R. and Rathje E.M., 2009. Technical Manual for Strata, PEER Report 2008/10. Pacific Earthquake Engineering Research Center College of Engineering, University of California, Berkeley, CA
Kottke A.R. and Rathje E.M., 2013. Comparison of time series and random — vibration theory site — response methods. Bull. Seismol. Soc. Amer., 103, 2111–2127, DOI: https://doi.org/10.1785/0120120254
Kramer S.L., 1996. Geotechnical Earthquake Engineering. Prentice Hall, Upper Saddle River, NJ
Ktenidou O., Cotton F., Abrahamson N.A. and Anderson J.G., 2014. Taxonomy of κ: A review of definitions and estimation approaches targeted to applications. Seismol. Res. Lett., 85, 135–146, DOI: https://doi.org/10.1785/0220130027
Liu L. and Pezeshk S., 1999. An improvement on the estimation of pseudoresponse spectral velocity using RVT method. Bull. Seismol. Soc. Amer., 89, 1384–1389, DOI: https://doi.org/10.1785/BSSA0890051384
Markušić S., Gülerce Z., Kuka N., Duni L., Ivančić I., Radovanović S., Glavatović B., Milutinović Z., Akkar S., Kovačević S., Mihaljević J. and Šalić R., 2016. An updated and unified earthquake catalogue for the Western Balkan Region. Bull. Earthq. Eng., 14, 321–343, DOI: https://doi.org/10.1007/s10518-015-9833-z
Markušić S., Herak M., Herak D. and Ivančić I., 2002. Peak horizontal-to-vertical acceleration ratio and local amplification of strong ground motion. Stud. Geophys. Geod., 46, 83–92
Markušić S., Stanko D., Korbar T., Belić N., Penava D. and Kordić B., 2020. The Zagreb (Croatia) M5.5 earthquake on 22 March 2020. Geosciences, 10, Art.No. 252, DOI: https://doi.org/10.3390/geosciences10070252
Markušić S., Stanko D., Penava D., Ivančić I., Bjelotomić Oršulić O., Korbar T. and Sarhosis V., 2021. Destructive M6.2 Petrinja earthquake (Croatia) in 2020 — preliminary multidisciplinary research. Remote Sens., 13, Art.No. 1095, DOI: https://doi.org/10.3390/rs13061095
McGuire R.K., 1978. A simple model for estimating fourier amplitude spectra of horizontal ground acceleration. Bull. Seismol. Soc. Amer., 68, 803–822, DOI: https://doi.org/10.1785/BSSA0680030803
McGuire R.K. and Hanks T.C., 1980. RMS accelerations and spectral amplitudes of strong ground motion during the San Fernando, California earthquake. Bull. Seismol. Soc. Amer., 70, 1907–1919, DOI: https://doi.org/10.1785/BSSA0700051907
Pezeshk S., Zandieh A., Campbell K. and Tavakoli B., 2018. Ground-motion prediction equations for Central and Eastern North America using the hybrid empirical method and NGA-West2 empirical ground motion models. Bull. Seismol. Soc. Amer., 108, 2278–2304, DOI: https://doi.org/10.1785/0120170179
Pezeshk S., Zandieh A. and Tavakoli B., 2011. Hybrid empirical ground-motion prediction equations for Eastern North America using NGA models and updated seismological parameters. Bull. Seismol. Soc. Amer., 101, 1859–1870, DOI: https://doi.org/10.1785/0120100144
Rathje E.M. and Ozbey M.C., 2006. Site-specific validation of random vibration theory-based seismic site response analysis. J. Geotech. Geoenviron. Eng., 132, 911–922, DOI: https://doi.org/10.1061/(ASCE)1090-0241(2006)132:7(911)
Reiter L., 1991. Earthquake Hazard Analysis: Issues and Insights. Columbia University Press, New York
Salic R., Sandikkaya M.A., Milutinovic Z., Gulerce Z., Duni L., Kovacevic V., Markusic S., Mihaljevic J., Kuka N., Kaludjerovic N., Kotur N., Krmpotic S., Kuk K. and Stanko D., 2017. BSHAP project strong ground motion database and selection of suitable ground motion models for the Western Balkan region. Bull. Earthq. Eng., 15, 1319–1343, DOI: https://doi.org/10.1007/s10518-016-9950-3
Salmon M.W., Short S.A. and Kennedy R.P., 1992. Strong Motion Duration and Earthquake Magnitude Relationships. University of California, Lawrence, CA, DOI: https://doi.org/10.2172/67453
Sandıkkaya M.A., Akkar S. and Bard P., 2013. A nonlinear site — amplification model for the next pan-European ground-motion prediction equations. Bull. Seismol. Soc. Amer., 103, 19–32, DOI: https://doi.org/10.1785/0120120008
Silva W.J. and Lee K., 1987. State-of-the-Art for Assessing Earthquake Hazards in the United States. Report 24. WES RASCAL Code for Synthesizing Earthquake Ground Motions. (No. ADA182901). Woodward-Clyde Consultants, Walnut Creek, CA.; Army Engineer Waterways Experiment Station, Vicksburg, MS
Silva W.J., Toro G. and Constantino C., 1996. Description and Validation of the Stochastic Ground Motion Model. Department of Nuclear Energy, Brookhaven National Laboratory, Associated Universities, Upton, NY
Sokolov V., Loh C.-H. and Wen K.-L., 2002. Empirical model for estimating Fourier amplitude spectra of ground acceleration in Taiwan region. Soil Dyn. Earthq. Eng., 22, 719–731, DOI: https://doi.org/10.1016/S0267-7261(02)00026-X
Stafford P.J., Berrill J.B. and Pettinga J.R., 2008. New predictive equations for Arias intensity from crustal earthquakes in New Zealand. J. Seismol., 13, 31–52, DOI: https://doi.org/10.1007/s10950-008-9114-2
Stanko D., Gulerce Z., Markušić S. and Šalić R., 2019. Evaluation of the site amplification factors estimated by equivalent linear site response analysis using time series and random vibration theory based approaches. Soil Dyn. Earthq. Eng., 117, 16–29, DOI: https://doi.org/10.1016/j.soildyn.2018.11.007
Tavakoli B. and Pezeshk S., 2005. Empirical-stochastic ground-motion prediction for Eastern North America. Bull. Seismol. Soc. Amer., 95, 2283–2296, DOI: https://doi.org/10.1785/0120050030
Toro G.R., Abrahamson N.A. and Schneider J.F., 1997. Model of strong ground motions from earthquakes in Central and Eastern North America: best estimates and uncertainties. Seismol. Res. Lett., 68, 41–57, DOI: https://doi.org/10.1785/gssrl.68.1.41
Trifunac M.D., 1976. Preliminary empirical model for scaling Fourier amplitude spectra of strong ground acceleration in terms of earthquake magnitude, source-to-station distance, and recording site conditions. Bull. Seismol. Soc. Amer., 66, 1343–1373, DOI: https://doi.org/10.1785/BSSA0660041343
Trifunac M.D. and Brady A.G., 1975. A study on the duration of strong earthquake ground motion. Bull. Seismol. Soc. Amer., 65, 581–626, DOI: https://doi.org/10.1785/BSSA0650030581
Vanmarcke E.H. and Lai S.-S.P., 1980. Strong-motion duration and RMS amplitude of earthquake records. Bull. Seismol. Soc. Amer., 70, 1293–1307, DOI: https://doi.org/10.1785/BSSA0700041293
Wang X. and Rathje E.M., 2016. Influence of peak factors on site amplification from random vibration theory based site — response analysis. Bull. Seismol. Soc. Amer., 106, 1733–1746, DOI: https://doi.org/10.1785/0120150328
Acknowledgments
The authors would like to thank to Prof. Dr. Zeynep Gülerce (Middle East Technical University, Turkey) and to Prof. Dr. Zoran Milutinovic and Prof. Dr. Radmila Salic (Institute of Earthquake Engineering & Engineering Seismology, Republic of North Macedonia) for their help with this study through last few years of collaboration, analyses and discussion. This work has been supported in part by the Croatian Science Foundation (project “Seismic Risk Assessment of Cultural Heritage Buildings in Croatia”, HRZZ IP-2020-02-3531) and from the Norwegian Financial Mechanism 2014–2021 (project “Investigation of Seismically Vulnerable Areas in Croatia and Seismic Ground Motion Assessment”, 04-UBS-U-0002/22-90). The authors would like to thank the anonymous Reviewer and to Dr. Sreeram Reddy Kotha, ISTerre, Grenoble, France for help and constructive review that significantly improved the final version of the presented study. Also we would like to thank Associate Editor Donner, Stefanie for their comments and suggestions during the review stage.
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The BSHAP earthquake catalogue and strong motion database were compiled in the scope of the “Improvements in the Harmonized Seismic Hazard Maps for the Western Balkan Countries Project” (NATO SfP Award Number 984374), funded under NATO SfP Program. Due to certain project regulations and restrictions for the availability of these products (just for scientific purposes), please contact directly the members of BSHAP Project Team.
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Uglešić, J.S., Skendrović, F., Lončar, I. et al. Regionally adjusted ground motion model: Case study of the ML6.2 (Mw6.4) Petrinja (Croatia) 2020 earthquake. Stud Geophys Geod 66, 162–186 (2022). https://doi.org/10.1007/s11200-022-0914-6
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DOI: https://doi.org/10.1007/s11200-022-0914-6