- Ground-motion model is:
where Y is in g, b1 = 1.096, b2 = 0.444, b3 = 0.0, b4 = -1.047, b5 = 0.038, h = 5.7, ση = 0.190 (inter-event)
and σϵ = 0.464 (intra-event) for geometric mean.
- AFs is the amplification factor due to linear and nonlinear soil behaviour used by Atkinson and
Boore (2006), which is a function of V s,30 and expected PGA at site with V s,30 = 760m∕s, PGAref. Derive
equation for PGAref of form lnPGAref = b1+b2(M-7)+b4 ln((rjb2+h2)0.5), where b1 = 0.851, b2 = 0.480,
b4 = -0.884 and h = 6.3km for geometric mean (σ not reported).
- Use data from the PEER Next Generation Attenuation (NGA) database.
- Investigate the spatial correlation of ground motions and their variabilities.
- Generate datasets using normally distributed values of M (truncated at ±2 standard deviations that are
reported in the PEER NGA database) for earthquakes and lognormally-distributed values of V s,30 (again
using standard deviations from PEER NGA database) for stations. Repeat regression analysis and find
coefficients very similar to those obtained ignoring the uncertainty in M and V s,30.