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Source Description of the 1999 Hector Mine, California, Earthquake, Part I: Wavelet Domain Inversion Theory and Resolution Analysis

Ji, Chen and Wald, David J. and Helmberger, Donald V. (2002) Source Description of the 1999 Hector Mine, California, Earthquake, Part I: Wavelet Domain Inversion Theory and Resolution Analysis. Bulletin of the Seismological Society of America, 92 (4). pp. 1192-1207. ISSN 0037-1106. doi:10.1785/0120000916. https://resolver.caltech.edu/CaltechAUTHORS:20121205-083950391

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Abstract

We present a new procedure for the determination of rupture complexity from a joint inversion of static and seismic data. Our fault parameterization involves multiple fault segments, variable local slip, rake angle, rise time, and rupture velocity. To separate the spatial and temporal slip history, we introduce a wavelet transform that proves effective at studying the time and frequency characteristics of the seismic waveforms. Both data and synthetic seismograms are transformed into wavelets, which are then separated into several groups based on their frequency content. For each group, we use error functions to compare the wavelet amplitude variation with time between data and synthetic seismograms. The function can be an L1 + L2 norm or a correlative function based on the amplitude and scale of wavelet functions. The objective function is defined as the weighted sum of these functions. Subsequently, we developed a finite-fault inversion routine in the wavelet domain. A simulated annealing algorithm is used to determine the finite-fault model that minimizes the objective function described in terms of wavelet coefficients. With this approach, we can simultaneously invert for the slip amplitude, slip direction, rise time, and rupture velocity efficiently. Extensive experiments conducted on synthetic data are used to assess the ability to recover rupture slip details. We, also explore slip-model stability for different choices of layered Earth models assuming the geometry encountered in the 1999 Hector Mine, California, earthquake.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1785/0120000916 DOIUNSPECIFIED
http://bssa.geoscienceworld.org/content/92/4/1192PublisherUNSPECIFIED
ORCID:
AuthorORCID
Ji, Chen0000-0002-0350-5704
Additional Information:© 2002 by the Seismological Society of America. Manuscript received 6 November 2000. The project was supported by USGS and SCEC. Ji benefited from the discussion with Professor Zhenxing Yao (Institute of Geophysics, Chinese Academy of Sciences). The figures are made using GMT (Generic Mapping Tools) software (Wessel and Smith, 1991). This manuscript was prepared with AGU’s LATEX macros v5, with the extension package AGU by P. W. Daly, version 1.6b, from 19 August 1999. This project was supported by SCEC contract No. NSF EAR-8920136 and by the U.S. Geological Survey under Contract No. 1HQGR0098. Contribution 8749, Division of Geological and Planetary Sciences, California Institute of Technology.
Funders:
Funding AgencyGrant Number
USGSUNSPECIFIED
Southern California Earthquake Center (SCEC)UNSPECIFIED
NSF Cooperative AgreementEAR-8920136
USGS1HQGR0098
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological and Planetary Sciences8749
Issue or Number:4
DOI:10.1785/0120000916
Record Number:CaltechAUTHORS:20121205-083950391
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20121205-083950391
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35807
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Dec 2012 19:31
Last Modified:09 Nov 2021 23:17

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