Investigating strong ground-motion variability using analysis of variance and two-way-fit plots |
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Authors: | John Douglas Pierre Gehl |
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Institution: | (1) ARN/RIS, BRGM, 3 avenue C. Guillemin, BP 36009, 45060 Orléans Cedex 2, France |
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Abstract: | A statistical method to quantitatively assess the relative importance of unmodelled site and source effects on the observed
variability (σ) in ground motions is presented. The method consists of analysis of variance (ANOVA) using the computed residuals
with respect to an empirical ground-motion model for strong-motion records of various earthquakes recorded at a common set
of stations. ANOVA divides the overall variance (σ
2) into the components due to site and source effects (respectively σ
S
2 and σ
E
2) not modelled by the ground-motion model plus the residual variance not explained by these effects (σ
R
2). To test this procedure, four sets of observed strong-motion records: two from Italy (Umbria-Marche and Molise), one from
the French Antilles and one from Turkey, are used. It is found that for the data from Italy, the vast majority of the observed
variance is attributable to unmodelled site effects. In contrast, the variation in ground motions in the French Antilles and
Turkey data is largely attributable, especially at short periods, to source effects not modelled by the ground-motion estimation
equations used. |
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Keywords: | Strong-motion data Ground-motion prediction equations(GMPEs) Analysis of variance Site effects Source effects Two-way-fit plots |
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