Notes on Seismic Source Models in Elastostatics

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Authors

Deyu Ming

Abstract

Seismic source models in elastostatics lay the foundations for the popular earthquake deformation formula derived in Okada (1992), which forms key components for many studies in earthquake displacement simulations, earthquake source inversions and ground-motion predictions. However,despite of their importance, we found that the assumptions and proofs of some important theorems about the topic are incomplete in the literature, causing difficulties for beginners to understand the theoretical basis of Okada (1992) and its extensions. This note fills these gaps, and conveys the mathematics of relevant concepts in a consistent (in terms of notations) and rigorous (in terms of assumptions and deviations) manner. The note could be used as a complement to the more general introduction to the quantitative seismology provided in Moczo (2006) and Aki (2009).

DOI

https://doi.org/10.31223/osf.io/234kp

Subjects

Earth Sciences, Geophysics and Seismology, Physical Sciences and Mathematics

Keywords

Constitutive equation, equation of motion, Green's tensor, principle of superposition, reciprocity theorem, representation theorem, uniqueness theorems

Dates

Published: 2020-07-31 15:20

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License

CC BY Attribution 4.0 International

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