K. Aki, Scaling law of seismic spectrum, Journal of Geophysical Research, vol.72, issue.4, pp.1217-1231, 1967.

K. Aki and P. G. Richards, Quantitative seismology, 2002.

B. P. Allmann and P. M. Shearer, Global variations of stress drop for moderate to large earthquakes, Journal of Geophysical Research: Solid Earth, vol.114, issue.B1, 2009.

J. G. Anderson, Expected shape of regressions for ground-motion parameters on rock, Bulletin of the seismological Society of America, vol.90, issue.6B, pp.43-52, 2000.

G. M. Atkinson and W. Silva, Stochastic modeling of California ground motions, Bulletin of the Seismological Society of America, vol.90, issue.2, pp.255-274, 2000.

E. Baroux, A. Pino, N. Valensise, G. Scotti, O. Cushing et al., ) earthquake: a reappraisal based on macroseismic and geodesic observations, J. Geophys. Res, issue.139, p.108, 1909.

N. M. Beeler, T. F. Wong, and S. H. Hickman, On the expected relationships among apparent stress, static stress drop, effective shear fracture energy, and efficiency, Bulletin of the Seismological Society of America, vol.93, issue.3, pp.1381-1389, 2003.

P. Bernard, A. Herrero, and C. Berge, Modeling directivity of heterogeneous earthquake ruptures, Bulletin of the Seismological Society of America, vol.86, issue.4, pp.1149-1160, 1996.

D. M. Boore, Simulation of ground motion using the stochastic method, Seismic Motion, Lithospheric Structures, Earthquake and Volcanic Sources: The Keiiti Aki Volume, pp.635-676, 2003.

D. M. Boore, J. P. Stewart, E. Seyhan, and G. M. Atkinson, NGA-West2 equations for predicting PGA, PGV, and 5% damped PSA for shallow crustal earthquakes, Earthquake Spectra, vol.30, issue.3, pp.1057-1085, 2014.

D. M. Boore and E. M. Thompson, Revisions to some parameters used in stochastic-method simulations of ground motion, 2015.

M. Bouchon, A simple method to calculate Green's functions for elastic layered media, Bulletin of the Seismological Society of America, vol.71, issue.4, pp.959-971, 1981.

J. N. Brune, Tectonic stress and the spectra of seismic shear waves from earthquakes, Journal of geophysical research, vol.75, issue.26, pp.4997-5009, 1970.

M. Causse, E. Chaljub, F. Cotton, C. Cornou, and P. Y. Bard, New approach for coupling k? 2 and empirical Green's functions: application to the blind prediction of broad-band ground motion in the Grenoble basin, Geophysical Journal International, vol.179, issue.3, pp.1627-1644, 2009.

B. Chouet, K. Aki, and M. Tsujiura, Regional variation of the scaling law of earthquake source spectra, Bulletin of the Seismological Society of America, vol.68, issue.1, pp.49-79, 1978.

O. Coutant, Program of numerical simulation AXITRA, Res. Rep. LGIT, 1989.

S. Drouet, M. P. Bouin, and F. Cotton, New moment magnitude scale, evidence of stress drop magnitude scaling and stochastic ground motion model for the French West Indies, Geophysical Journal International, vol.187, issue.3, pp.1625-1644, 2011.
URL : https://hal.archives-ouvertes.fr/insu-00645689

A. Dujardin, F. Courboulex, M. Causse, and P. Traversa, Influence of Source, Path, and Site Effects on the Magnitude Dependence of Ground-Motion Decay with Distance, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01527930

A. Dujardin, M. Causse, F. Courboulex, and P. Traversa, Simulation of the Basin Effects in the Po Plain During the Emilia-Romagna Seismic Sequence (2012) Using Empirical Green's Functions, Pure and Applied Geophysics, vol.173, issue.6, pp.1993-2010, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01346775

Y. Fukushima, C. Berge-thierry, P. Volant, D. A. Griot-pommera, and F. Cotton, Attenuation relation for West Eurasia determined with recent near-fault records from California, Japan and Turkey, Journal of Earthquake Engineering, vol.7, issue.04, pp.573-598, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00109304

F. Gallovi? and J. Broke?ová, On strong ground motion synthesis with k? 2 slip distributions, Journal of Seismology, vol.8, issue.2, pp.211-224, 2003.

T. C. Hanks, b values and ?? ? seismic source models: Implications for tectonic stress variations along active crustal fault zones and the estimation of high-frequency strong ground motion, Journal of Geophysical Research: Solid Earth, vol.84, issue.B5, pp.2235-2242, 1979.

T. C. Hanks and R. K. Mcguire, The character of high-frequency strong ground motion, Bulletin of the Seismological Society of America, vol.71, issue.6, pp.2071-2095, 1981.

S. H. Hartzell, Earthquake aftershocks as Green's functions, Geophysical Research Letters, vol.5, issue.1, pp.1-4, 1978.

T. H. Heaton, Evidence for and implications of self-healing pulses of slip in earthquake rupture, Physics of the Earth and Planetary Interiors, vol.64, issue.1, pp.1-20, 1990.

A. Herrero and P. Bernard, A kinematic self-similar rupture process for earthquakes, Bulletin of the Seismological Society of America, vol.84, issue.4, pp.1216-1228, 1994.

Y. Hisada, A theoretical omega-square model considering the spatial variation in slip and rupture velocity, Bulletin of the Seismological Society of America, vol.90, issue.2, pp.387-400, 2000.

Y. Hisada, A theoretical omega-square model considering spatial variation in slip and rupture velocity. Part 2: Case for a two-dimensional source model, Bulletin of the Seismological Society of America, vol.91, issue.4, pp.651-666, 2001.

H. Kanamori and L. Rivera, Static and dynamic scaling relations for earthquakes and their implications for rupture speed and stress drop, Bulletin of the Seismological Society of America, vol.94, issue.1, pp.314-319, 2004.

B. V. Kostrov, Selfsimilar problems of propagation of shear cracks, Journal of Applied Mathematics and Mechanics, vol.28, issue.5, pp.1077-1087, 1964.

P. M. Mai, P. Spudich, and J. Boatwright, Hypocenter locations in finite-source rupture models, Bulletin of the Seismological Society of America, vol.95, issue.3, pp.965-980, 2005.

A. M. Rogers and D. M. Perkins, , 1996.

, Monte Carlo simulation of peak-acceleration attenuation using a finite-fault uniform-patch model including isochrone and extremal characteristics, Bulletin of the Seismological Society of America, vol.86, issue.1A, pp.79-92

F. Scherbaum, J. Schmedes, and F. Cotton, On the conversion of source-to-site distance measures for extended earthquake source models, Bulletin of the Seismological Society of America, vol.94, issue.3, pp.1053-1069, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00109300

P. Somerville, K. Irikura, R. Graves, S. Sawada, D. Wald et al., Characterizing crustal earthquake slip models for the prediction of strong ground motion, Seismological Research Letters, vol.70, issue.1, pp.59-80, 1999.

E. Yenier and G. M. Atkinson, Equivalent point-source modeling of moderate-to-large magnitude earthquakes and associated ground-motion saturation effects, 2014.

J. X. Zhao, J. Zhang, A. Asano, Y. Ohno, T. Oouchi et al., Attenuation relations of strong ground motion in Japan using site classification based on predominant period, Bulletin of the Seismological Society of America, vol.96, issue.3, pp.898-913, 2006.

, Each point represents the average value of 20 realizations of rupture scenarios. The azimuths range from 0° to 67.5°N (left) and from 180° to 247