Abstract
An asymptotic theory is presented for calculating co-seismic potential and geoid changes, as an approximation of the dislocation theory for a spherical Earth. This theory is given by a closed-form mathematical expression, so that it is mathematically simple and can be applied easily. Moreover, since the asymptotic theory includes sphericity and vertical structure effects, it is physically more reasonable than the flat-Earth theory. A comparison between results calculated by three dislocation theories (the flat-Earth theory, the theory for a spherical Earth and its asymptotic solution) shows that the true co-seismic geoid changes are approximated better by the asymptotic results than by those of a flat Earth. Numerical results indicate that the sphericity effect is obvious large, especially for a tensile source on a vertical fault plane.
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Acknowledgements The author is grateful to Dr S. Okubo for his helpful suggestions and discussions. Comments by anonymous reviewers are also greatly acknowledged. This research was financially supported by JSPS research grants (C13640420) and ‘Basic design and feasibility studies for the future missions for monitoring Earth’s environment’.
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Sun, W. Asymptotic theory for calculating deformations caused by dislocations buried in a spherical earth: geoid change. Journal of Geodesy 77, 381–387 (2003). https://doi.org/10.1007/s00190-003-0335-4
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DOI: https://doi.org/10.1007/s00190-003-0335-4