Table 3 List and conditions of GMPEs used in the study.

Pezeshk et al.²⁴

\(\log \left( {\overline{Y}} \right) = c_{1} + c_{2} M_{w} + c_{3} M_{w}^{2} + \left( {c_{4} + c_{5} M_{w} } \right) \times min\left\{ {\log \left( R \right),\log \left( {60} \right)} \right\} + \left( {c_{6} + c_{7} M_{w} } \right) \times max\left[ {min\left\{ {\log \left( \frac{R}{60} \right),\log \left( {120/60} \right)} \right\},0} \right] { } + \left( {c_{8} + c_{9} M_{w} } \right) \times max\left\{ {\log \left( {R/120} \right),0)} \right\} + c_{10} R\) where \(\left( {\overline{Y}} \right)\) is the median value of PGA or PSA in g, R is the distance computed as \(R = \sqrt {R_{rup}^{2} + c_{11}^{2} }\) where R_Rup = closest distance to fault rupture in km, and c₁ to c₁₁ are regression coefficients as defined in Pezeshk et al.²⁵

Based on hybrid empirical method (HEM). The GMPEs are derived for peak ground acceleration and response spectral ordinates at periods ranging from 0.01 to 10 s. Suitable for moment magnitudes (M_w) from 4.0 to 8.0. Valid for R_Rup < 300–400 km. Mean aleatory standard deviation associated with the prediction is given by \(\sigma_{T} = \sqrt {\sigma_{{{\text{log}}}}^{2} + \sigma_{{{\text{Reg}}}}^{2} }\) σ_Reg is the standard deviation of the regression. σ_logȲ is the total aleatory standard deviation. The values are given in Pezeshk et al.^24. Hard-rock site condition. V_S30 = 3000 m/s

Tavakoli and Pezeshk²⁵

\({\text{Ln}}\left( Y \right){ } = f_{1} \left( {M_{w} } \right){ } + f_{2 } \left( {R_{rup} } \right) + f_{3} (M_{w} , R_{rup} ){ }R = { }\sqrt {R^{2}_{rup} + (C_{5 } {\text{exp}} [C_{6} M_{w} + C_{7 } \left( {8.5 - M_{w} } \right)^{2.5} ])^{2} }\) where Y represents median value of PGA/PSA in (g), \(M_{w}\) represents moment magnitude, \(R_{rup}\) represents rupture distance and means the closest distance to the fault rupture in (km). \(f_{1}\) to \(f_{3}\) are frequencies (Hz), while and c₅ to c₇ are the regression coefficients listed in Tavakoli and Pezeshk²⁵

Based on a hybrid-empirical model is utilized to predict the ground-motion relationship for eastern North America (ENA). This is an empirical-stochastic attenuation relationship used for horizontal peak ground acceleration and for spectral acceleration. Applicable to M_w 5.0–8.2. R_Rup \(<\) 1000 km. Hard-rock site condition. V_S30 = 2880 m/s. The aleatory standard deviation of ln Y is defined as a based on the earthquake magnitude and is modelled as follows