Correlation Between Generalized Intensity Measures of Vertical Ground Motions

This paper systematically examines the empirical correlations between vertical generalized intensity measure (IMV) (including spectral acceleration (T = 0.01 -10.0 s), peak ground acceleration, peak ground velocity, acceleration spectrum intensity, velocity spectrum intensity, displacement spectrum intensity, spectrum intensity, effective peak acceleration, effective peak velocity, and effective peak displacement). The results show that the correlation among generalized IMV is multivariate, IMV-IMV has the property of multivariate lognormality. The potential dependence of the correlation coefficient on rupture parameters is discussed. The correlation coefficient prediction models are developed and the examples of the models to generalized conditional intensity measure and vector-valued probabilistic seismic hazard analysis are given.