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Due to the paucity of strong recorded accelerograms, earthquake engineeringanalysis relies on accelerogram amplitude scaling for structuraldamage/collapse assessment and target spectrum matching. This paperinvestigates seismological characteristics of scaled accelerograms so as toinform future ground motion selection and seismic risk assessment methods. If arecorded accelerogram is scaled linearly by multiplying it with a positivefactor, it is shown using the Representation theorem and the accelerogramFourier spectrum that moment magnitude scales logarithmically and static stressdrop scales linearly. Other seismic parameters such as the Joyner-Booredistance metric and the effective rupture area are invariant to scaling anaccelerogram. This proposed interpretation of scaling is validated in the timeas well as the frequency domains using a hybrid method for ground motionsimulation. Finally, a discussion is made over the seismological correctness ofaccelerogram scaling. It is suggested that a suite of scaled accelerograms canbe considered as being seismologically correct if this suite's magnitude givenrupture area and stress drop distributions are similar to empiricalobservations.

Seismological Understanding of Accelerogram Amplitude Scaling for Engineers with Implications to Seismic Risk Analysis