# Amplitude Corrections for Regional Seismic Discriminants

LA-UR-99-3040

**Steven R. Taylor, Aaron A. Velasco, Hans E. Hartse, W. Scott Phillips**

Los Alamos National Laboratory

**William R. Walter and Arthur J. Rodgers**

Lawrence Livermore National Laboratory

## Introduction

We present an update on seismic event identification methodologies being investigated as
part of the Department of Energy GNEM R&E program.
A fundamental problem associated with event identification lies in deriving corrections that remove source and path effects on
regional phase amplitudes used to construct discriminants. Our goal is to derive a set of
physically based corrections that are independent of magnitude and distance, and amenable
to multivariate discrimination by extending the technique described in Taylor and Hartse
(1998).

For a given station and source region, a number of well-recorded earthquakes are
used to estimate source and path corrections. The source model assumes a simple Brune
(1970) earthquake-source that has been extended to handle non-constant stress drop.

The propagation model consists of a frequency-independent geometrical spreading and
frequency-dependent power-law Q. A large-scale search is performed simultaneously at
each station for all recorded regional phases over stress-drop, geometrical spreading, and
frequency-dependent Q to find a suite of good-fitting models that remove the dependence
on mb and distance.

Seismic moments can either be inverted for or fixed and are tied to mb
through two additional coefficients. We also solve for frequency-dependent site/phase
excitation terms.

Once a set of corrections is derived, effects of source scaling and distance
as a function of frequency are applied to amplitudes from new events prior to forming
discrimination ratios. Thus, all the corrections are tied to just mb and distance and can be
applied very rapidly in an operational setting. Moreover, phase amplitude residuals as a
function of frequency can be spatially interpolated (e.g. using Kriging) and used to
construct a correction surface for each phase and frequency. The spatial corrections from
the correction surfaces can then be applied to the corrected amplitudes based only on the
event location. The correction parameters and correction surfaces can be developed offline
and entered into an online database for pipeline processing providing multivariate-normal
corrected amplitudes for event identification.

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Summary

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