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Published March 31, 2016 | Published + Supplemental Material
Journal Article Open

Mathematical review on source-type diagrams

Abstract

A source-type diagram is a visualization tool used to display earthquake sources, including double-couples, compensated linear vector dipoles, and isotropic deformation. Together with recent observations of non-double-couple events in a variety of tectonic settings, it is important to be able to recognize the source type intuitively from a representative diagram. Since previous works have proposed diagrams created using a range of projections, we review these diagrams in the framework of the moment tensor eigenvalue space. For further applications, we also provide complete formulas for conversion between moment tensor representation and the coordinate system of each diagram style. Using both a global catalog and synthetic data, we discuss differences between types of diagrams and the relative effectiveness of each.

Additional Information

© 2016 Aso et al. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http:// creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 8 December 2015; Accepted: 25 February 2016; Published: 31 March 2016. We used the moment tensor data from the Preliminary Determination of Epicenters (PDE) catalog, distributed by the United States Geological Survey (USGS). This work was supported by JSPS (Research Project Number: 12J09135). We thank Daniel C. Bowden for useful discussions. We also thank Václav Vavryčuk and Douglas S. Dreger for elaborative and constructive reviews and comments. MATLAB code for conversion between moment tensor eigenvalues and coordinates in source-type diagrams is provided as Additional files. This study was initiated when NA and KO were PhD students and SI was their advisor at the University of Tokyo. Authors' contributions: NA derived the equations, made the figures, and wrote the manuscript. KO contributed to the derivations. SI supervised this study as an advisor and provided perspectives of importance to this study. All authors read and approved the final manuscript. The authors declare that they have no competing interests.

Attached Files

Published - art_3A10.1186_2Fs40623-016-0421-5.pdf

Supplemental Material - 40623_2016_421_MOESM1_ESM.txt

Supplemental Material - 40623_2016_421_MOESM2_ESM.txt

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Created:
August 20, 2023
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