Empirical relationships between earthquake magnitude and maximum distance based on the extended global liquefaction-induced damage cases

作者：Hu, Jilei^*

来源：Acta Geotechnica, 2023, 18(4): 2081-2095.

DOI：10.1007/s11440-022-01637-y

• Bayesian regression model
• Extended global liquefaction database
• Magnitude-distance relation
• Seismic liquefaction

Liquefaction-induced damage usually occurs in the epicentral area of earthquakes. To detect the maximum distance such as maximum epicentral distance (R-emax), maximum fault distance (R-fmax), or maximum hypocentral distance (R-hmax) to cause damage given the magnitude of an earthquake, this study constructs multiple empirical models approximating the limiting distances (R-emax, R-fmax, or R-hmax) as a function of different magnitudes (M-w, or M-s) using Bayesian regression method to consider model parameter uncertainty based on an updated global liquefaction database. The updated database with 290 cases is compiled from different historical earthquakes from 1117 to 2020, and these data cover the moment magnitude (M-w) from 4.6 to 9.5 and the maximum R-emax from approximately 1 km to 480 km, which greatly expands the existing databases. The proposed magnitude-distance empirical relations in this study that can be useful in evaluating the minimum energy of an earthquake-induced liquefaction disaster or the maximum distance of the liquefied site given an earthquake in the rapid disaster mapping are more robust than other existing models. In these proposed models, the bounding equation in terms of R-hmax and M-w performs the best. In addition, the deposited condition of the site is also tried to be considered in the M-w-R-hmax model, which improved the performance of the model to a certain extent.