- Ground-motion model is:
where A(DE,H,S,T) = A0(T)log Δ(DE,H,M), Δ = (DE2 + H2 + S2), H is focal depth, p is the
confidence level, s is from site classification (details not given in paper) and v is component direction
(details not given in paper although probably v = 0 for horizontal direction and v = 1 for vertical direction).
- Response parameter is pseudo-acceleration for unknown damping level.
- Use same data and weighting method as Monguilner et al. (2000a) (see Section 2.179).
- Find A0(T) by regression of the Fourier amplitude spectra of the strong-motion records.
- Estimate fault area, S, using log S = Ms + 8.13 - 0.6667log(σΔσ∕μ).
- Equation only valid for Mmin ≤ M ≤ Mmax where Mmin = -b2∕(2b5(T)) and Mmax = -(1 +
b2(T))∕(2b5(T)). For M < Mmin use M for second term and M = Mmin elsewhere. For M > Mmax use
M = Mmax everywhere.
- Examine residuals, ϵ(T) = log SA(T) - log SA′(T) where SA′(T) is the observed pseudo-acceleration and
fit to the normal probability distribution,
p(ϵ,T) = ∫
exp[-(x - μ(T))∕σ(T)]2∕(σ(T)), to find μ(T) and σ(T). Find that the residuals fit the
theoretical probably distribution at the 5% level using the χ2 and KS
- Do not give coefficients, only graphs of coefficients.