Calculation of Fourier Acceleration Spectra by statistical green's functions.
※At the Upper Boundary of Seismic Bedrock,Shear waves.

Keyword

Statistical green's functions,Fourier Acceleration Spectra,Radiation Pattern,Amplitude on the free surface,PRTITN,Density of Seismic bedrock,S-Wave Velocity of Seismic bedrock,Corner Frequency,Cutoff Frequency,Hypocenter Distance,Seismic Moment,Quality factor.

Reference

[1]:『Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra』Boore,D.M.(1983).
[2]:『最新の地盤震動研究を活かした強震波形の作成法』(社団法人 日本建築学会).

Remarks

・『PRTITN is the reduction factor that accounts for the partitioning of energy into two horizontal components.』(Reference[1]).
・Quality factor:Scattering Attenuation and Intrinsic Absorption.
・fc=0.49*β*(Δσ/M0)^(1/3).
・『s controls the decay rate at high frequencies.』(Reference[1]).
・Constant C=Rθφ*FS*PRTITN/(4*π*ρ*β^3).
・Fourier Acceleration Spectra:A(m/s)=Constant C*M0*ω^2/(1+(ω/ωc)^2)*1/(1+(ω/ωmax)^(2*s))^0.5*e^(-ω*R/(2*Q*β))/R.

History

・2009/08/19:Upload.