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Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake

Abstract

It has been known since at least 1898 (ref. 1) that sediments can amplify earthquake ground motion relative to bedrock. For the weak ground motion accompanying small earthquakes, the amplification due to sediments is well understood in terms of linear elasticity (Hooke's law)2, but there has been a long-standing debate regarding the amplification associated with the strong ground motion produced by large earthquakes. The view of geotechnical engineers, based largely on laboratory studies, is that Hooke's law breaks down at larger strains causing a reduced (nonlinear) amplification. Seismologists, on the other hand, have tended to remain sceptical of this nonlinear effect, mainly because the relatively few strong-motion observations seemed to be consistent with linear elasticity. Although some recent earthquake studies have demonstrated nonlinear behaviour under certain circumstances3,4, the significance of nonlinearity for the type of stiff-soil sites found in the greater Los Angeles region remains unresolved5. Here we report that ground-motion amplification due to sediments for the main shock of the 1994 Northridge earthquake was up to a factor of two less than the amplification observed for its aftershocks. These observations imply significant nonlinearity in such amplification, and bring into question the use of measurements of weak ground motion to predict the strong ground motion at sedimentary sites.

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Figure 1: Relief map of the study region.
Figure 2: The mean and ±2 standard-deviation-of-the-mean confidence limits of the estimates of amplification at the 15 alluvium sites.
Figure 3: Ratios of the estimates of weak- to strong-motion site responses for each of the 15 sediment sites (dashed lines).

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Acknowledgements

We thank several members of the Los Alamos National Laboratory (LANL) and the Southern California Earthquake Centre (SCEC) for comments and discussions. The data used in this study were collected by the SCEC, the United States Geological Survey, the California Division of Mines and Geology, the University of Southern California, the Department of Energy, and the City of Los Angeles. This work was supported by LANL Institutional Support (LDRD-IP). E.H.F. received additional support from the SCEC.

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Correspondence to Edward H. Field.

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Field, E., Johnson, P., Beresnev, I. et al. Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake. Nature 390, 599–602 (1997). https://doi.org/10.1038/37586

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