Based on the discussion about some empirical coherency models resulted from
earthquake-induced ground motion recordings at the SMART-1 array in Taiwan
, and a heuristic model of the coherency function from elementary notions o
f stationary random process theory and a few simplifying assumptions regard
ing the propagation of seismic waves, a practical coherency model for spati
ally varying ground motions, which can be applied in aseismic analysis and
design, is proposed, and the regressive coefficients are obtained using lea
st-square fitting technique from the above recordings.