Function | $F = [FM] == 'R' ? 1.28 : 1.00;
$A = $F*(0.14*atan([Mw]-6.25)+0.37);
$R2 = 3.67*[Mw]-12.42;
$D2 = -0.125*cos(1.19*([Mw]-6.15))+0.525;
$R5 = 18.04*pow([Mw], 2)-167.9*[Mw]+476.3;
$D3= [Vs30:m/s]>484.5?0.65:0.35;
return exp(log($A)-0.5*log(pow(1-[dr:km]/$R2, 2)+4*pow($D2, 2)*[dr:km]/$R2)-0.5*log(pow(1-sqrt([dr:km]/100), 2)+4*pow($D3, 2)*sqrt([dr:km]/100))-0.24*log([Vs30:m/s]/484.5)-0.5*log(pow(1-sqrt([dr:km]/$R5), 2)+4*pow(0.7, 2)*sqrt([dr:km]/$R5)));
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Notes | See Douglas (2011), page 262. N.B. We assume to model the basin effect that for rock class(Vs30 > 484.5 m/s) the sediment depth is < 1 km, while for soil class(Vs30 <= 484.5 m/s) the sediment depth is >= 1 km. Validation: M = 5.0, d = 10 km, Vs30 = 800 m/s, FM = 'S' : PGA = 0.1406083590235920 g M = 6.0, d = 10 km, Vs30 = 800 m/s, FM = 'S' : PGA = 0.34939589252512 g M = 5.0, d = 100 km, Vs30 = 800 m/s, FM = 'S' : PGA = 0.0070300667910307 g |
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