Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake

Handle URI:
http://hdl.handle.net/10754/550794
Title:
Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake
Authors:
Razafindrakoto, Hoby ( 0000-0002-7717-280X ) ; Mai, Paul Martin ( 0000-0002-9744-4964 ) ; Genton, Marc G. ( 0000-0001-6467-2998 ) ; Zhang, Ling; Thingbaijam, Kiran Kumar ( 0000-0002-2415-2266 )
Abstract:
Finite-fault earthquake source inversion is an ill-posed inverse problem leading to non-unique solutions. In addition, various fault parametrizations and input data may have been used by different researchers for the same earthquake. Such variability leads to large intra-event variability in the inferred rupture models. One way to understand this problem is to develop robust metrics to quantify model variability. We propose a Multi Dimensional Scaling (MDS) approach to compare rupture models quantitatively. We consider normalized squared and grey-scale metrics that reflect the variability in the location, intensity and geometry of the source parameters. We test the approach on two-dimensional random fields generated using a von Kármán autocorrelation function and varying its spectral parameters. The spread of points in the MDS solution indicates different levels of model variability. We observe that the normalized squared metric is insensitive to variability of spectral parameters, whereas the grey-scale metric is sensitive to small-scale changes in geometry. From this benchmark, we formulate a similarity scale to rank the rupture models. As case studies, we examine inverted models from the Source Inversion Validation (SIV) exercise and published models of the 2011 Mw 9.0 Tohoku earthquake, allowing us to test our approach for a case with a known reference model and one with an unknown true solution. The normalized squared and grey-scale metrics are respectively sensitive to the overall intensity and the extension of the three classes of slip (very large, large, and low). Additionally, we observe that a three-dimensional MDS configuration is preferable for models with large variability. We also find that the models for the Tohoku earthquake derived from tsunami data and their corresponding predictions cluster with a systematic deviation from other models. We demonstrate the stability of the MDS point-cloud using a number of realizations and jackknife tests, for both the random field and the case studies.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Quantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake 2015, 202 (1):17 Geophysical Journal International
Publisher:
Oxford University Press (OUP)
Journal:
Geophysical Journal International
Issue Date:
22-Apr-2015
DOI:
10.1093/gji/ggv088
Type:
Article
ISSN:
0956-540X; 1365-246X
Additional Links:
http://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggv088
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorRazafindrakoto, Hobyen
dc.contributor.authorMai, Paul Martinen
dc.contributor.authorGenton, Marc G.en
dc.contributor.authorZhang, Lingen
dc.contributor.authorThingbaijam, Kiran Kumaren
dc.date.accessioned2015-04-28T11:40:05Zen
dc.date.available2015-04-28T11:40:05Zen
dc.date.issued2015-04-22en
dc.identifier.citationQuantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquake 2015, 202 (1):17 Geophysical Journal Internationalen
dc.identifier.issn0956-540Xen
dc.identifier.issn1365-246Xen
dc.identifier.doi10.1093/gji/ggv088en
dc.identifier.urihttp://hdl.handle.net/10754/550794en
dc.description.abstractFinite-fault earthquake source inversion is an ill-posed inverse problem leading to non-unique solutions. In addition, various fault parametrizations and input data may have been used by different researchers for the same earthquake. Such variability leads to large intra-event variability in the inferred rupture models. One way to understand this problem is to develop robust metrics to quantify model variability. We propose a Multi Dimensional Scaling (MDS) approach to compare rupture models quantitatively. We consider normalized squared and grey-scale metrics that reflect the variability in the location, intensity and geometry of the source parameters. We test the approach on two-dimensional random fields generated using a von Kármán autocorrelation function and varying its spectral parameters. The spread of points in the MDS solution indicates different levels of model variability. We observe that the normalized squared metric is insensitive to variability of spectral parameters, whereas the grey-scale metric is sensitive to small-scale changes in geometry. From this benchmark, we formulate a similarity scale to rank the rupture models. As case studies, we examine inverted models from the Source Inversion Validation (SIV) exercise and published models of the 2011 Mw 9.0 Tohoku earthquake, allowing us to test our approach for a case with a known reference model and one with an unknown true solution. The normalized squared and grey-scale metrics are respectively sensitive to the overall intensity and the extension of the three classes of slip (very large, large, and low). Additionally, we observe that a three-dimensional MDS configuration is preferable for models with large variability. We also find that the models for the Tohoku earthquake derived from tsunami data and their corresponding predictions cluster with a systematic deviation from other models. We demonstrate the stability of the MDS point-cloud using a number of realizations and jackknife tests, for both the random field and the case studies.en
dc.publisherOxford University Press (OUP)en
dc.relation.urlhttp://gji.oxfordjournals.org/cgi/doi/10.1093/gji/ggv088en
dc.rightsArchived with thanks to Geophysical Journal International.© The Authors 2015. Published by Oxford University Press on behalf of The Royal Astronomical Society.en
dc.subjectInstability analysisen
dc.subjectSpatial analysisen
dc.subjectEarthquake source observationsen
dc.titleQuantifying variability in earthquake rupture models using multidimensional scaling: application to the 2011 Tohoku earthquakeen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalGeophysical Journal Internationalen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorRazafindrakoto, Hobyen
kaust.authorMai, Paul Martinen
kaust.authorGenton, Marc G.en
kaust.authorZhang, Lingen
kaust.authorThingbaijam, Kiran Kumaren
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