GMPE compendium by Dr John Douglas, senior lecturer and seismic-hazard consultant in Civil and Environmental Engineering at the University of Strathclyde, UK.

Ground motion prediction equations (GMPEs), also called ground-motion models (GMMs) and attenuation relations, estimate the shaking (strong ground motion) that may occur at a site if an earthquake of a certain magnitude occurs at a nearby location. GMPEs are crucial for engineering seismology and earthquake engineering (branches of civil engineering) as they are used to assess seismic hazard, thereby providing estimates of the loading that a structure may undergo during a future earthquake.

This compendium provides details of models for the intensity measures (IMs) of peak ground acceleration (PGA) and linear elastic response spectral ordinates (acceleration, velocity and displacement). It also provides brief characteristics of models for: peak ground velocity (PGV) and displacement (PGD), Arias intensity (AI), cumulative absolute velocity (CAV), Fourier spectral amplitudes (FSA), maximum absolute unit elastic input energy (IE), inelastic response spectral ordinates (ISO), Japanese Meteorological Agency (JMA) seismic intensity, macroseismic intensity (MI, also called intensity prediction equations), mean period (MP), relative significant duration (RSD) and vertical-to-horizontal response spectral ratio (VH). The focus is on empirical GMPEs, i.e. those derived from recorded strong-motion data, but lists are provided of simulation-based GMPEs as well as models derived in other ways (e.g. hybrid and backbone). GMPEs for both natural (crustal and subduction) and induced/triggered earthquakes are included.

Review articles based on this compendium were published in Earth-Science Reviews in 2003 and 2016. Read a general review of ground-motion prediction.

Read a recent article on "Assessment of the uncertainty in spatial-correlation models for earthquake ground motion due to station layout and derivation method"

Download the compendium in PDF or View online (using mathjax so slow to load). Last updated 14 May 2021

Please contact me if a model is missing or if you find an error. Thank you.

Download these figures and other introductory material (e.g. some nomograms) on engineering seismology, with citable DOIs.

View an online talk on "Estimating earthquake ground motions: Background, methods and challenges" for members of Fault2SHA on 12 July 2021.

Download various GMPE-related datasets and the program CHEEP (Composite Hybrid Equation Estimation Program), developed in 2006.

Play a simple earthquake early warning game developed for the H2020 TURNkey project.

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Ground motion prediction equations (1964-2020) is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.