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Near-Fault Broadband Ground Motion Simulations Using Empirical Green’s Functions: Application to the Upper Rhine Graben (France–Germany) Case Study

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Abstract

Seismic hazard estimation relies classically on data-based ground motion prediction equations (GMPEs) giving the expected motion level as a function of several parameters characterizing the source and the sites of interest. However, records of moderate to large earthquakes at short distances from the faults are still rare. For this reason, it is difficult to obtain a reliable ground motion prediction for such a class of events and distances where also the largest amount of damage is usually observed. A possible strategy to fill this lack of information is to generate synthetic accelerograms based on an accurate modeling of both extended fault rupture and wave propagation process. The development of such modeling strategies is essential for estimating seismic hazard close to faults in moderate seismic activity zones, where data are even scarcer. For that reason, we selected a target site in Upper Rhine Graben (URG), at the French–German border. URG is a region where faults producing micro-seismic activity are very close to the sites of interest (e.g., critical infrastructures like supply lines, nuclear power plants, etc.) needing a careful investigation of seismic hazard. In this work, we demonstrate the feasibility of performing near-fault broadband ground motion numerical simulations in a moderate seismic activity region such as URG and discuss some of the challenges related to such an application. The modeling strategy is to couple the multi-empirical Green’s function technique (multi-EGFt) with a k −2 kinematic source model. One of the advantages of the multi-EGFt is that it does not require a detailed knowledge of the propagation medium since the records of small events are used as the medium transfer function, if, at the target site, records of small earthquakes located on the target fault are available. The selection of suitable events to be used as multi-EGF is detailed and discussed in our specific situation where less number of events are available. We then showed the impact that each source parameter characterizing the k−2 model has on ground motion amplitude. Finally we performed ground motion simulations showing results for different probable earthquake scenarios in the URG. Dependency of ground motions and of their variability are analyzed at different frequencies in respect of rupture velocity, roughness degree of slip distribution (stress drop), and hypocenter location. In near-source conditions, ground motion variability is shown to be mostly governed by the uncertainty on source parameters. In our specific configuration (magnitude, distance), the directivity effect is only observed in a limited frequency range. Rather, broadband ground motions are shown to be sensitive to both average rupture velocity and its possible variability, and to slip roughness. Ending up with a comparison of simulation results and GMPEs, we conclude that source parameters and their variability should be set up carefully to obtain reliable broadband ground motion estimations. In particular, our study shows that slip roughness should be set up in respect of the target stress drop. This entails the need for a better understanding of the physics of earthquake source and its incorporation in the ground motion modeling.

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References

  • Aki, K., & Richards, P. G. (2002). Quantitative seismology (2nd ed.). Sausalito: University Science Books.

    Google Scholar 

  • Akkar, S., & Bommer, J. J. (2010). Empirical equations for the prediction of PGA, PGV and spectral accelerations in Europe, the Mediterranean and the Middle East. Seismological Research Letters, 81, 195–206.

    Article  Google Scholar 

  • Aochi, H., Durand, V., & Douglas, J. (2011). Influence of super-shear earthquake rupture models on simulated near-source ground motion from the 1999 Izmit (Turkey) earthquake. Bulletin of the Seismological Society of America, 101, 726–741.

    Article  Google Scholar 

  • Baumann, C., & Dalguer, L. A. (2014). Evaluating the compatibility of dynamic rupture-based synthetic ground motion with empirical ground-motion prediction equation. Bulletin of the Seismological Society of America, 104(2), 634–652. doi:10.1785/0120130077.

    Article  Google Scholar 

  • Bertrand, G., Elsass, P., Wirsing, G., & Luz, A. (2006). Quaternary faulting in the Upper Rhine Graben revealed by high-resolution multi-channel reflection seismic. Comptes Rendus Geoscience, 338, 574–580.

    Article  Google Scholar 

  • Boore, D. M. (2001). Comparisons of ground motions from the 1999 Chi–Chi earthquake with empirical predictions largely based on data from California. Bulletin of the Seismological Society of America, 91, 1212–1217.

    Article  Google Scholar 

  • Boore, D. M., & 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. Earthquake Spectra, 24(1), 99–138.

    Article  Google Scholar 

  • Brune, J. N. (1970). Tectonic stress and the spectra of seismic shear waves from earthquakes. Journal of Geophysical Research, 75, 4997–5009.

    Article  Google Scholar 

  • Campbell, K. W., & Bozorgnia, Y. (2014). NGA-West2 ground motion model for the average horizontal components of PGA, PGV, and 5% damped linear acceleration response spectra. Earthquake Spectra, 30(3), 1087–1115.

    Article  Google Scholar 

  • Causse, M., Chaljub, E., Cotton, F., Cornou, C., & Bard, P. Y. (2009). New approach for coupling k-2 and empirical Green’s functions: application to the blind prediction of broadband ground-motion in the Grenoble basin. Geophysical Journal International, 179(3), 1627–1644.

    Article  Google Scholar 

  • Causse, M., Cotton, F., Cornou, C., & Bard, P. Y. (2008). Calibrating median and uncertainty estimates for a practical use of empirical Green’s functions technique. Bulletin of the Seismological Society of America, 98, 344–353.

    Article  Google Scholar 

  • Causse, M., Cotton, F., & Mai, P. M. (2010). Constraining the roughness degree of slip heterogeneity. Journal of Geophysical Research, 115, B05304.

    Article  Google Scholar 

  • Causse, M., Dalguer, L. A., & Mai, P. M. (2013). Variability of dynamic source parameters inferred from kinematic models of past earthquakes. Geophysical Journal International. doi:10.1093/gji/ggt478.

    Google Scholar 

  • Causse, M., & Song, S. G. (2015). Are stress drop and rupture velocity of earthquakes independent? Insight from observed ground motion variability. Geophysical Research Letters, 42, 7389. doi:10.1002/2015GL064793.

    Article  Google Scholar 

  • Cauzzi, C., Faccioli, E., Vanini, M., & Bianchini, A. (2014). Updated predictive equations for broadband (0.01–10 s) horizontal response spectra and peak ground motions, based on a global dataset of digital acceleration records. Bulletin of Earthquake Engineering, 13, 1587–1612. doi:10.1007/s10518-014-9685-y.

    Article  Google Scholar 

  • Chartier, T. (2015). Étude probabiliste de l’aléa sismique pour un site du Fossé Rhénan Supérieur. Master II final report, Tâche 1.2.2 du projet ANR SINAPS@.

  • Chiou, B. S. J., & Youngs, R. R. (2008). An NGA model for the average horizontal component of peak ground motion and response spectra. Earthquake Spectra, 24(1), 173–215.

    Article  Google Scholar 

  • Cultrera, G., Cirella, A., Spagnuolo, E., Herrero, A., & Pacor, F. (2010). Variability of kinematic parameters and its implication on the choice of the design scenario. Bulletin of the Seismological Society of America, 100, 941–953.

    Article  Google Scholar 

  • Cuppillard, P., Delavaus, E., Burgos, G., Festa, G., Vilotte, J. P., Capdeville, Y., et al. (2012). RegSEM: a versatile code based on the spectral element method to compute seismic wave propagation at the regional scale. Geophysical Journal International, 188(3), 1203–1220.

    Article  Google Scholar 

  • Dalguer, L. A., & Mai P. M. (2012). Prediction of near‐source ground motion exceeding 1 g at low frequencies (<2 Hz) from M w~6.5 deterministic physics‐based dynamic rupture simulations, in Proc. of the 15th World Conference on Earthquake Engineering (15WCEE), Lisbon, Portugal, 24–28 September 2012.

  • Dalguer, L. A., & Day, S. M. (2007). Staggered-grid split-node method for spontaneous rupture simulation. Journal of Geophysical Research, 112, B02302. doi:10.1029/2006JB004467.

    Article  Google Scholar 

  • Day, S. M., Dalguer, L. A., Lapusta, N., & Liu, Y. (2005). Comparison of finite difference and boundary integral solutions to three-dimensional spontaneous rupture. Journal of Geophysical Research, 110, B12307. doi:10.1029/2005JB003813.

    Article  Google Scholar 

  • De Matteis, R., Convertito, C., & Zollo, A. (2016). BISTROP: Bayesian inversion of spectral-level ratios and P-wave polarities for focal mechanism determination. Seismological Research Letters, 87, 4. doi:10.1785/0220150259.

    Article  Google Scholar 

  • Del Gaudio, S., Causse, M., & Festa, G. (2015). Broad-band strong motion simulations coupling k-square kinematic source models with empirical Green’s functions: the 2009 L’Aquila earthquake. Geophysical Journal International, 203(1), 720–736. doi:10.1093/gji/ggv325.

    Article  Google Scholar 

  • Donahue, J., & Abrahamson, N. (2014). Simulation-based hanging wall effects. Earthquake Spectra, 30(3), 1269–1284.

    Article  Google Scholar 

  • Douglas, J. (2016). Comment on the paper ‘A risk-mitigation approach to the management of induced seismicity’ by J. J. Bommer, H. Crowley and R. Pinho. Journal of Seismology, 20(1), 393–394.

    Article  Google Scholar 

  • Douglas, J., & Edwards, B. (2016). Recent and future developments in earthquake ground motion estimation. Earth-Science Reviews, 160, 203–219. (ISSN 0012-8252).

    Article  Google Scholar 

  • Dumbser, M., & Käser, M. (2007). An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes—II. The three-dimensional isotropic case. Geophysical Journal International, 171(3), 1324. doi:10.1111/j.1365-246X.2007.03388.x.

    Article  Google Scholar 

  • Ferry, M., Meghraoui, M., Delouis, B., & Giardini, D. (2005). Evidence for Holocene palaeoseismicity along the Basel—Reinach active normal fault (Switzerland): a seismic source for the 1356 earthquake in the Upper Rhine graben. Geophysical Journal International, 160(2), 554–572. doi:10.1111/j.1365-246X.2005.02404.x.

    Article  Google Scholar 

  • Gallovic, F. (2016). Modeling velocity recordings of the M w 6.0 South Napa, California, earthquake: unilateral event with weak high-frequency directivity. Seismological Research Letters, 87. doi:10.1785/0220150042.

  • Gallovic, F., & Brokesova, J. (2004). On strong ground motion synthesis with the k −2 slip distribution. Journal of Seismology, 8, 211–224.

    Article  Google Scholar 

  • Hartzell, S. H. (1978). Earthquakes aftershocks as Green’s functions. Geophysical Research Letters, 5, 1–4.

    Article  Google Scholar 

  • Hartzell, S., Harmsen, S., Frankel, A., & Larsen, S. (1999). Calculation of broadband time histories of ground motion: comparison of methods and validation using strong-ground motion from the 1994 Northridge earthquake. Bulletin of the Seismological Society of America, 89, 1484–1504.

    Google Scholar 

  • Heaton, T. H. (1990). Evidence for and implications of self-healing pulses of slip in earthquake rupture. Physics of the Earth and Planetary Interiors, 64(1), 1–20. (ISSN 0031-9201).

    Article  Google Scholar 

  • Herrero, A., & Bernard, P. (1996). Modeling directivity of heterogeneous earthquake ruptures. Bulletin of the Seismological Society of America, 86(4), 1149–1160.

    Google Scholar 

  • Homuth, B., Rümpkera, G., Deckertb, H., & Krachtc, M. (2014). Seismicity of the northern Upper Rhine Graben—constraints on the present-day stress field from focal mechanisms. Tectonophysics, 632, 8–20.

    Article  Google Scholar 

  • Hutchings, L. (1994). Kinematic earthquake models and synthesized ground motion using empirical Green’s functions. Bulletin of the Seismological Society of America, 84, 1028–1050.

    Google Scholar 

  • Irikura, K. (1983). Semi-empirical estimation of strong ground motions during large earthquakes. Prevention Research Institute Kyoto University, 33, 63–104.

    Google Scholar 

  • Irikura, K. (1984). Prediction of strong ground motions using observed seismograms from small events. Proceedings 8th World Conference on Earthquake Engineering, 2, 465–472.

    Google Scholar 

  • Irikura, K. (1986). Prediction of strong acceleration motion using empirical Green’s functions. Proceedings of Seventh Japan Earthquake Engineering Symposium, 151, 156.

    Google Scholar 

  • 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. Annales Geophysicae, 37, 6.

    Google Scholar 

  • Kanamori, H., & Anderson, D. L. (1975). Theoretical basis of some empirical relations in seismology. Bulletin of the Seismological Society of America, 65, 1073–1095.

    Google Scholar 

  • Koketsu, K., & Miyake, H. (2008). A seismological overview of long period ground motion. Journal of Seismology, 12, 133–143.

    Article  Google Scholar 

  • Komatitsch, D., Liu, Q., Tromp, J., Süss, P., Stidham, C., & Shaw, J. H. (2004). Simulations of ground motion in the Los Angeles basin based upon the spectral-element method. Bulletin of the Seismological Society of America, 94, 187–206.

    Article  Google Scholar 

  • Lambert, J., Winter, T., Dewez, T. J. B., & Sabourault, P. (2005). New hypotheses on the maximum damage area of the 1356 Basel earthquake (Switzerland). Quaternary Science Reviews, 24, 381–399.

    Article  Google Scholar 

  • Lancieri, M., Madariaga, R., & Bonilla, F. (2012). Spectral scaling of the aftershocks of the Tocopilla 2007 earthquake in northern Chile. Geophysical Journal International, 189(1), 469–480.

    Article  Google Scholar 

  • Mai, P. M., Spudich, P., & Boatwright, J. (2005). Hypocenter locations in finite-source rupture models. Bulletin of the Seismological Society of America, 95, 965–980.

    Article  Google Scholar 

  • Mayer-Rosa, D., & Cadiot, B. (1979). A review of the 1356 Basel earthquake: basic data. Tectonophysics, 53(3–4), 325–333.

    Article  Google Scholar 

  • 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. International Journal for Numerical Methods in Engineering, 95, 991–1010.

    Article  Google Scholar 

  • Meghraoui, M., Delouis, B., Ferry, M., Giardini, D., Huggenberger, P., Spottke, I., et al. (2001). Active normal faulting in the Upper Rhine Graben and Paleoseismic identification of the 1356 Basel earthquake. Science, 293, 2070–2073.

    Article  Google Scholar 

  • Meyer, B., Lacassin, R., Brulhet, J., & Mouroux, B. (1994). The Basel 1356 earthquake: which fault produced it? (pp. 1365–3121). Terra Nova, Blackwell Publishing Ltd. doi:10.1111/j.1365-3121.1994.tb00633.x.

  • Nivière, B., Bruestle, A., Bertrand, G., Carretier, S., Behrmann, J., & Gourry, J. C. (2008). Active tectonics of the southeastern Upper Rhine Graben, Freiburg area (Germany). Quaternary Science Reviews, 27, 541–555.

    Article  Google Scholar 

  • Pacor, F., Gallovic, F., Puglia, R., Luzi, L., & D’Amico, M. (2016). Diminishing high-frequency directivity due t a source effect: empirical evidence from small earthquakes in the Abruzzo region, Italy. Geophysical Research Letters, 43, 5000. doi:10.1002/2016GL068546.

    Article  Google Scholar 

  • Palumbo L., Baize S., Cushing M., Jomard H., & David C. (2013). Devising BDFA: a new active fault database conceived behind nuclear safety assessment in France. 4th International INQUA Meeting on Paleoseismology, Active Tectonics and Archeoseismology (PATA), Aachen (Germany).

  • Schmedes, J., Archuleta, R. J., & Lavalleé, D. (2010). Correlation of earthquake source parameters inferred from dynamic rupture simulations. Journal of Geophysical Research, 115, B03304.

    Article  Google Scholar 

  • Song, S., Dalguer, L. A., & Mai, P. M. (2014). Pseudo-dynamic source modeling with 1-point and 2-point staistcs of earthquake source parameters. Geophysical Journal International, 196, 1770–1786.

    Article  Google Scholar 

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Acknowledgements

We thank LBRG and Stefan Stange, in particular, for providing the BREM station data that we used in the simulations and the additional stations data needed to invert for moment tensors. We thank Sophie Lambotte and Cécile Doubre at EOST/Renass for their help getting the data. We warmly thank Hervé Jomard for his help plotting the BDFA map. This research activity was supported by the PIA ANR SINAPS@ project, Grant No. ANR-11-RSNR-0022.

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Correspondence to Sergio Del Gaudio.

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Del Gaudio, S., Hok, S., Festa, G. et al. Near-Fault Broadband Ground Motion Simulations Using Empirical Green’s Functions: Application to the Upper Rhine Graben (France–Germany) Case Study. Pure Appl. Geophys. 174, 3479–3501 (2017). https://doi.org/10.1007/s00024-017-1575-1

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