Spatial and spectral interpolation of ground-motion intensity measure observations

Bulletin of the Seismological Society of America
By: , and 

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Abstract

Following a significant earthquake, ground‐motion observations are available for a limited set of locations and intensity measures (IMs). Typically, however, it is desirable to know the ground motions for additional IMs and at locations where observations are unavailable. Various interpolation methods are available, but because IMs or their logarithms are normally distributed, spatially correlated, and correlated with each other at a given location, it is possible to apply the conditional multivariate normal (MVN) distribution to the problem of estimating unobserved IMs. In this article, we review the MVN and its application to general estimation problems, and then apply the MVN to the specific problem of ground‐motion IM interpolation. In particular, we present (1) a formulation of the MVN for the simultaneous interpolation of IMs across space and IM type (most commonly, spectral response at different oscillator periods) and (2) the inclusion of uncertain observation data in the MVN formulation. These techniques, in combination with modern empirical ground‐motion models and correlation functions, provide a flexible framework for estimating a variety of IMs at arbitrary locations.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Spatial and spectral interpolation of ground-motion intensity measure observations
Series title Bulletin of the Seismological Society of America
DOI 10.1785/0120170201
Volume 108
Issue 2
Year Published 2018
Language English
Publisher Seismological Society of America
Contributing office(s) Geologic Hazards Science Center
Description 10 p.
First page 866
Last page 875