Generalized orthonormal moment tensor decomposition and its source-type diagram

Moment tensor decomposition is a method for deriving the isotropic (ISO), double-couple (DC), and compensated linear vector dipole (CLVD) components from a seismic moment tensor. Currently, there are two families of methods, namely, standard moment tensor decomposition and Euclidean moment tensor de...

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Bibliographic Details
Published in:Journal of seismology 2021-02, Vol.25 (1), p.55-71
Main Authors: Huang, Ting-Chung, Wu, Yih-Min
Format: Article
Language:English
Subjects:
Decomposition
Dipoles
Earth and Environmental Science
Earth Sciences
Geophysics/Geodesy
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Mathematical analysis
Methods
Original Article
Seismology
Structural Geology
Tensors
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Summary:Moment tensor decomposition is a method for deriving the isotropic (ISO), double-couple (DC), and compensated linear vector dipole (CLVD) components from a seismic moment tensor. Currently, there are two families of methods, namely, standard moment tensor decomposition and Euclidean moment tensor decomposition. Although both methods can usually provide workable solutions, there are some minor inconsistencies between the two methods: an equality inconsistency that occurs in standard moment tensor decomposition and the pure CLVD unity and flip basis inconsistency encountered in Euclidean moment tensor decomposition. Moreover, there is a sign problem when disentangling the CLVD component from a DC-dominated case. To address these minor inconsistencies, we propose a new moment tensor decomposition method inspired by both previous methods. The new method can not only avoid all these minor inconsistencies but also withstand deviations in ISO- or CLVD-dominated cases when using source-type diagrams.
ISSN:1383-4649
1573-157X
DOI:10.1007/s10950-020-09951-2