Electronic Supplement to
Influence of Source, Path, and Site Effects on the Magnitude Dependence of Ground-Motion Decay with Distance

by Alain Dujardin, Françoise Courboulex, Mathieu Causse, and Paola Traversa

This electronic supplement contains figures of the magnitude-dependent decay of Akkar and Bommer (2010) and of squared Fourier amplitude spectra (FAS).

Figure S1. Magnitude-dependent decay of the ground-motion prediction equation (GMPE) of Akkar and Bommer (2010) for (a) peak ground velocity (PGV), (b) peak ground acceleration (PGA), (c) pseudoabsolute acceleration spectra (PSA) at 0.5 s, and (d) PSA at 2.0 s. We represent the different ground-motion intensity measure (GMIM) versus distance (Y(M)), the same parameters normalized at the distance of 10 km (I(M)), and the cumulative difference between a given magnitude and a magnitude of 4 (Z(M)).

Figure S2. Cumulative decay difference Z(M) normalized at 40 km for different GMIM. GMIM are (a) PGV, (b) PGA, (c) PSA at 0.5 s, and (d) PSA at 2.0 s. The following cases are presented: column 1, only attenuation is considered; column 2, the site parameter influence through κ0=0.04 is added; column 3, the path duration of Boore and Thompson (2014) for active crustal regions (BT14 path duration) is added; and column 4, all effects are taken together by adding the finite fault factor of Boore and Thompson (2015).

Figure S3. Comparison of cumulative decay difference between 10 and 100 km for different stress drop values: (left) Δσ = 0.5 MPa, (center) Δσ = 5 MPa, and (right) Δσ = 50 MPa. Comparisons are made for different ground-motion indicators: (a) PGV, (b) PGA, (c) PSA at 0.5 s, and (d) PSA at 2.0 s. The attenuation is fixed to Q() = 100f 0.5, the site parameter is fixed to κ0 = 0.04, the path duration for active crustal region (Boore and Thompson, 2014) is used, and the finite fault factor of Boore and Thompson (2015) is taken into account.

Figure S4. Squared FAS for various Q0: (left) 50, (center) 100, and (right) 300. Squared FAS are represented for (a) velocity, (b) acceleration, (c) 5% damped oscillator at 0.5 s, and (d) 5% damped oscillator at 2.0 s.

Figure S5. Squared FAS for various stress drop values: (left) Δσ = 0.5 MPa, (center) Δσ = 5 MPa, and (right) Δσ = 50 MPa. Squared FAS are represented for (a) velocity, (b) acceleration, (c) 5% damped oscillator at 0.5 s, and (d) 5% damped oscillator at 2.0 s.

References

Akkar, S., and J. J. Bommer (2010). Empirical equations for the prediction of PGA, PGV, and spectral accelerations in Europe, the Mediterranean region, and the Middle East, Seismol. Res. Lett. 81, no. 2, 195–206.

Boore, D. M., and E. M. Thompson (2014). Path durations for use in the stochastic-method simulation of ground motions, Bull. Seismol. Soc. Am. 104, no. 5, 2541–2552.

Boore, D. M., and E. M. Thompson (2015). Revisions to some parameters used in stochastic-method simulations of ground motion, Bull. Seismol. Soc. Am. 105, 1029–1041.

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