Abstract
In this paper we introduce the 3D physics-based numerical simulations (PBS) of ground motion during the Nov 11, 2019, MW 4.9 Le Teil earthquake, which occurred in a low-to-moderate seismicity area in the South-East of France, within the Rhône river valley, which hosts several operating nuclear installations. The numerical code SPEED, developed at Politecnico di Milano, Italy, was used to produce the PBS. After introducing the criteria to construct the numerical model, based on the relatively limited data available, a numerical convergence test was made to identify the frequency range for accurate simulations. Furthermore, the performance of the numerical results against the available strong motion records was assessed quantitatively using Goodness-of-fit (GoF) measures. According to the GoF scores, a good-to-excellent agreement was found on the horizontal components up to 8 Hz, showing that, even without a very detailed 3D numerical model of the medium, that would imply detailed knowledge of the basin shape, of the bedrock-to-basin impedance ratio, as well as of the damping ratio in the basin and its dependence on frequency, the PBS may provide realistic broadband predictions of earthquake ground motion. Nevertheless, as shown by the poorer performance on the vertical component, the high-frequency limitations of PBS, also in relation to the energy radiated by the kinematic source model, is still an issue to be carefully addressed. In spite of these limitations, the results obtained in this work demonstrate that PBS, if suitably calibrated and validated, can be either an alternative or a useful complement to empirical ground motion models, especially in those cases where the region- and site-specific features of ground shaking, including near-source conditions, are typically not accounted for by ergodic empirical models, such as for the seismic risk evaluation of large urban areas and/or of strategic structures, infrastructures and industrial plants.
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Data Availability
The SPEED code is available at http://speed.mox.polimi.it. The simulations and data generated during the current study are available from the corresponding author on reasonable request.
References
AFPS (2021) Séisme du 11 novembre 2019 – Retour d’expérience de la gestion de crise communale. AFPS and Le Teil Municipality joint report, juin 2021, 52 pp, in French
Ameri G, Hollender F, Perron V, Martin C (2017) Site-specific partially nonergodic PSHA for a hard-rock critical site in southern France: adjustment of ground motion prediction equations and sensitivity analysis. Bull Earthq Eng 15:4089–4111
Anderson JG (2004) Quantitative measure of the goodness-of-fit of synthetic seismograms. In: 13th world conference on earthquake engineering, Vancouver, B.C., Canada, August 1–6, Paper No. 243
Biro Y, Renault P (2012) Importance and impact of host-to-target conversions for ground motion prediction equations in PSHA. In: Proceedings 15th world conference in earthquake engineering, Lisbon, Portugal.
Bollinger L, Le Dortz K, Duverger C, Vallage A, Marin S, Leroy YM (2021) Seismic swarms in Tricastin, lower Rhône Valley (France): review of historical and instrumental seismicity and models. Comptes Rendus Géoscience 353(S1):585–606
Boore DM (2010) Orientation-independent, nongeometric-mean measures of seismic intensity from two horizontal components of motion. Bull Seism Soc Am 100(4):1830–1835. https://doi.org/10.1785/0120090400
Cara M, Cansi Y, Schlupp A, Arroucau P, Béthoux N, Beucler E, Van Der Woerd K (2015) SI-Hex: a new catalogue of instrumental seismicity for metropolitan France. Bull De La Société Géologique De France 186(1):3–19
Causse M, Cornou C, Maufroy E et al (2021) Exceptional ground motion during the shallow Mw 4.9 2019 Le Teil earthquake, France. Commun Earth Environ 2:14. https://doi.org/10.1038/s43247-020-00089-0
Chávez-García FJ, Faccioli E (2000) Complex site effects and building codes: making the leap. J Seismol 4:23–40
Cornou C, Ampuero JP, Aubert C, Audin L, Baize S, Billant J et al (2021) Rapid response to the Mw 4.9 earthquake of November 11, 2019 in Le Teil, Lower Rhône Valley, France. Comptes Rendus. Géoscience 353(1):1–23. https://doi.org/10.5802/crgeos.30
Crempien JGF, Archuleta RJ (2015) UCSB method for simulation of broadband ground motion from kinematic earthquake sources. Seismol Res Lett 86:61. https://doi.org/10.1785/0220140103
De Novellis V, Convertito V, Valkaniotis S et al (2020) Coincident locations of rupture nucleation during the 2019 Le Teil earthquake, France and maximum stress change from local cement quarrying. Commun Earth Environ 1:20. https://doi.org/10.1038/s43247-020-00021-6
De Novellis V, Convertito V, Valkaniotis S, Casu F, Lanari R, Tobar MFM, Pino NA (2021) Author correction: coincident locations of rupture nucleation during the 2019 Le Teil earthquake, France and maximum stress change from local cement quarrying. Commun Earth Environ. https://doi.org/10.1038/s43247-021-00109-7
Delouis B, Oral E, Menager M, Ampuero JP, Trilla AG, Régnier M, Deschamps A (2021) Constraining the point source parameters of the 11 November 2019 Mw 4.9 Le Teil earthquake using multiple relocation approaches, first motion and full waveform inversions. Comptes Rendus. Géoscience 353(1):1–24
Elmi S, Busnardo R, Clavel B, Camus G, Kieffer G, Bérard P and Michaël YB (1996) Notice explicative, Carte géol. France (1/50000), feuille Aubenas (865). Orléans: BRGM, 170 p. Carte géologique par Y. Kerrien (coord.), S. Elmi, R. Busnardo, G. Camus, G. Kieffer, J. Moinereau, A. Weisbrod (1989)
Evangelista L, del Gaudio S, Smerzini C, D’Onofrio A, Festa G, Iervolino I, Landolfi L, Paolucci R, Santo A, Silvestri F (2017) Physics-based seismic input for engineering applications: a case study in the Aterno river valley, Central Italy. Bull Earthq Eng 15:2645–2671
Faccioli E, Maggio F, Paolucci R, Quarteroni A (1997) 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method. J Seismolog 1:237–251
Gélis C, Cauchie L, Cushing EM, Froment B, Franco S, Jomard H, Tebib H (2022) Estimation of the local seismic amplification on an industrialized site in the French Rhône valley. Pure Appl Geophys 179(6):2119–2145
El Haber E, Smerzini C, Fasan M, Saint Mard L, Vanini M, Traversa P, Paolucci R, Ameri G and Renault P (2022) Simulation techniques benchmark, the test case of the November 11, 2019 Mw4.9 Le Teil earthquake. Deliverable SIGMA2-2021-D3-082 2022, available at https://www.sigma-2.net/pages/deliverables/deliverables.html
Hisada Y, Bielak J (2003) A theoretical method for computing near-fault ground motions in layered half-spaces considering static offset due to surface faulting, with a physical interpretation of fling step and rupture directivity. Bull Seismol Soc Am 93(3):1154–1168
IAEA, INTERNATIONAL ATOMIC ENERGY AGENCY (2022) Seismic Hazards in Site Evaluation for Nuclear Installations, Specific Safety Guides, SSG-9, Rev 1
Infantino M, Mazzieri I, Ozcebe AG, Paolucci R, Stupazzini M (2020) 3D physics-based numerical simulations of ground motion in istanbul from earthquakes along the marmara segment of the North Anatolian fault. Bull Seism Soc Am 110:2559–2576
Infantino M, Smerzini C, Lin J (2021) Spatial correlation of broadband ground motions from physics-based numerical simulations. Earthq Eng Struct Dyn 50:2575–2594
Jomard H et al (2017) Transposing an active fault database into a seismic hazard fault model for nuclear facilities—part 1: building a database of potentially active faults (BDFA) for metropolitan France. Nat Hazards Earth Syst Sci 17:1573–1584
Kotha SR, Weatherill G, Bindi D, Cotton F (2020) A regionally-adaptable ground-motion model for shallow crustal earthquakes in Europe. Bull Earthq Eng 18:4091–4125. https://doi.org/10.1007/s10518-020-00869-1
Landwehr N, Kuehn NM, Scheffer T, Abrahamson N (2016) A nonergodic ground-motion model for California with spatially varying coefficients. Bull Seismol Soc Am 106(6):2574–2583. https://doi.org/10.1785/0120160118
Liang, C. and Ampuero, J.-P. (2020). Comment on "Coincident locations of rupture nucleation during the 2019 Le Teil earthquake, France and maximum stress change from local cement quarrying" by De Novellis et al., ESSOAr, doi:https://doi.org/10.1002/essoar.1050400.1
Manchuel K, Traversa P, Baumont D, Cara M, Nayman E, Durouchoux C (2018) The French seismic CATalogue (FCAT-17). Bull Earthq Eng 16:2227–2251
Mazzieri I, Stupazzini M, Guidotti R, Smerzini C (2013) SPEED: spectral elements in elastodynamics with discontinuous Galerkin: a non-conforming approach for 3D multi-scale problems. Int J Numer Meth Eng 95(12):991–1010
McCallen D, Petersson A, Rodgers A, Pitarka A, Miah M, Petrone F, Sjogreen B, Abrahamson N, Tang H (2021) EQSIM—A multidisciplinary framework for fault-to-structure earthquake simulations on exascale computers part I: computational models and workflow. Earthq Spectra 37(2):707–735
Mordret A, Brenguier F, Causse M, Boué P, Voisin C, Dumont I, Vernon FL, Ampuero JP (2020) Seismic stereometry reveals preparatory behavior and source kinematics of intermediatesize earthquakes. Geophys Res Lett. https://doi.org/10.1029/2020GL088563
Grünthal G (ed.), Musson RMW, Schwarz J, Stucchi M (1998) European Macroseismic Scale. Cahiers du Centre Européen de Géodynamique et de Séismologie, Vol. 15 - European Macroseismic Scale 1998. European Centre for Geodynamics and Seismology, Luxembourg
Paolucci R, Mazzieri I, Smerzini C (2015) Anatomy of strong ground motion: near-source records and three-dimensional physics-based numerical simulations of the Mw 6.0 2012 May 29 Po plain earthquake, Italy. Geophys J Int 203(3):2001–2020
Paolucci R, Infantino M, Mazzieri I, Özcebe AG, Smerzini C, Stupazzini M (2018) 3D physics-based numerical simulations: advantages and current limitations of a new frontier to earthquake ground motion prediction. In: Pitilakis K (ed) Recent Advances in Earthquake Engineering in Europe, vol 46. Geotechnical, geological and earthquake engineering series. Springer, Cham, pp 203–223
Paolucci R, Mazzieri I, Piunno G, Smerzini C, Vanini M, Özcebe AG (2021) Earthquake ground motion modelling of induced seismicity in the Groningen gas field. Earthq Eng Struct Dyn 50:135–154. https://doi.org/10.1002/eqe.3367
Pelties C, Käser M, Hermann V, Castro CE (2010) Regular versus irregular meshing for complicated models and their effect on synthetic seismograms. Geophys J Int 183:1031–1051
Ramadan F, Smerzini C, Lanzano G, Pacor F (2021) An empirical model for the vertical-to-horizontal spectral ratios for Italy. Earthq Eng Struct Dynam 50(15):3937–4219
Ramadan F, Lanzano G, Smerzini C, Pacor F, Traversa P, Felicetta Chiara (2022) Prediction models for vertical ground motion for Italy and France. In: 3rd European conference on earthquake engineering and seismology, Bucharest, Romania.
Regnier J, Laurendeau A, Duvel AM, Guéguen P (2010) From heterogeneous set of soil data to Vs profile: application to the French accelerometric network (RAP) sites. In: 14th European conference on earthquake engineering
Riga E, Makra K, Pitilakis K (2016) Aggravation factors for seismic response of sedimentary basins: a code-oriented parametric study. Soil Dyn Earthq Eng 91:116–132
Ritz JF, Baize S, Ferry M et al (2020) Surface rupture and shallow fault reactivation during the 2019 Mw 4.9 Le Teil earthquake, France. Commun Earth Environ. https://doi.org/10.1038/s43247-020-0012-z
Sangaraju S, Paolucci R, Smerzini C (2021). 3D physics-base ground motion simulation of the 2016 Kumamoto earthquakes. In: 6th IASPEI/IAEE international symposium: effects of surface geology on seismic motion, August
Schlupp A, Sira C, Maufroy E, Provost L, Dretzen R, Bertrand E, Beck E, Schaming M (2021) EMS98 intensities distribution of the “Le Teil” earthquake, France, 11 November 2019 (Mw 4.9) based on macroseismic surveys and field investigations. Comptes Rendus. Géoscience 353:465–492
Sira C, Schlupp A, Maufroy E, Provost L, Dretzen R, Bertrand E, Beck E, Schaming M. (2020). Rapport macrosismique n– 4, Séisme du Teil (Ardèche) 11 novembre 2019 à 11 h 52 locale, Magnitude 5,2 ML (RENASS), Intensité communale max VII–VIII (EMS98, BCSF-Rénass-2020-R2)
Smerzini C, Paolucci R, Stupazzini M (2011) Comparison of 3D, 2D and 1D numerical approaches to predict long period earthquake ground motion in the Gubbio plain, Central Italy. Bull Earthq Eng 9(6):2007–2029
Stafford PJ, Rodriguez-Marek A, Edwards B, Kruiver PP, Bommer JJ (2017) Scenario dependence of linear site-effect factors for short-period response spectral ordinates. Bull Seism Soc Am 107(6):2859–2872
Stewart JP, Boore DM, Seyhan E, Atkinson GM (2016) NGA-West2 equations for predicting vertical-component PGA, PGV, and 5%-damped PSA from shallow crustal earthquakes. Earthq Spectra 32(2):1005–1031
Stupazzini M, Paolucci R, Igel H (2009) Near-fault earthquake ground-motion simulation in the Grenoble valley by a high-performance spectral element code. Bull Seismol Soc Am 99(1):286–301
Sung CH, Abrahamson N, Kuehn NM, Traversa P, Zentner I (2022) A non-ergodic ground-motion model of Fourier amplitude spectra for France. Bull Earthq Eng. https://doi.org/10.21203/rs.3.rs-358937/v1
Acknowledgements
This work was supported by swissnuclear as part of the research activity “Development of advanced numerical approaches for earthquake ground motion prediction”, developed in the framework of the SIGMA-2 project. The authors acknowledge the contribution given by Ilario Mazzieri in deriving the 3D basin shape model. Authors are grateful to Gabriele Ameri and another anonymous reviewer, the detailed remarks of which improved considerably the revised version of this work.
Funding
The work has been funded by swissnuclear within the 2017–2022 research project “Development of advanced numerical approaches for earthquake ground motion prediction”.
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Smerzini, C., Vanini, M., Paolucci, R. et al. Regional physics-based simulation of ground motion within the Rhȏne Valley, France, during the MW 4.9 2019 Le Teil earthquake. Bull Earthquake Eng 21, 1747–1774 (2023). https://doi.org/10.1007/s10518-022-01591-w
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DOI: https://doi.org/10.1007/s10518-022-01591-w