where A is in cm∕s2, β0= 2.08, β1= 0.0254, β = -1.001 and σ = 0.71233.
Note that insufficient data from Turkey to develop model for rock sites hence use data from soil sites
adjusted to rock to derive model.
Drill < 100m deep boreholes at 64 deep soil sites. Stop drilling when bedrock encountered (at depths
between 25 and 100m). Measure P- and S-wave velocities using downhole technique. Use these profiles to
deconvolve, using Proshake, data from soil sites to obtain records from rock. Apply deconvolution to about
Use data from Earthquake Research Division (contributes almost all data), Kandilli Observatory and
Research Centre and Istabul Technical University from 1976 to 2004. Select earthquakes with M ≥ 4.
Select records with PGA≥ 10cm∕s2. Exclude records with repi> 200km.
Visually inspect all records. Process, including filtering, data.
Derive models for 6 subsets of data (based on M, R, PGA threshold and combination of components) an
16 functional forms.
Compare predictions and observations for some magnitude ranges and find good fit.
33This σ is very high. It could mean that natural logarithms were used to compute it.