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  An Estimate of the Effect of 3D Heterogeneous Density Distribution on Coseismic Deformation Using a Spectral Finite-Element Approach

Tanaka, Y., Klemann, V., Martinec, Z. (2024): An Estimate of the Effect of 3D Heterogeneous Density Distribution on Coseismic Deformation Using a Spectral Finite-Element Approach. - In: Freymueller, J. T., Sánchez, L. (Eds.), X Hotine-Marussi Symposium on Mathematical Geodesy: Proceedings of the Symposium in Milan, Italy, June 13-17, 2022, (International Association of Geodesy Symposia ; 155), Berlin, Heidelberg : Springer, 103-111.
https://doi.org/10.1007/1345_2023_236

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This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/ licences/by/4.0/), which permits you to use, share, adapt, distribute and copy the work in any medium or format, provided you give the original author and source credit. credit to the original author(s) and source, provide a link to the Creative Commons licence, and indicate whether any modifications have been made. Theimagesorotherthirdpartymaterialinthischapterareincludedinthechapter'sCreativeCommonslicence,unlessotherwiseindicatedinthecreditline. If material is not covered by the section's Creative Commons Licence and your intended use is not permitted by law or exceeds the permitted use, you must include a credit line to the material. or exceeds the permitted use, you must obtain permission directly from the copyright holder.
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 ???ViewItemFull_lblCreators???:
Tanaka, Y.1, ???ENUM_CREATORROLE_AUTHOR???
Klemann, V.2, ???ENUM_CREATORROLE_AUTHOR???           
Martinec, Z.1, ???ENUM_CREATORROLE_AUTHOR???
???ViewItemFull_lblAffiliations???:
1External Organizations, ou_persistent22              
21.3 Earth System Modelling, 1.0 Geodesy, Departments, GFZ Publication Database, Deutsches GeoForschungsZentrum, ou_146027              

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???ViewItemFull_lblSubject???: Deformation; Density; Earthquake; Finite element method; Gravity field; Lateral heterogeneity
 ???ViewItemFull_lblAbstract???: The advancement of the Global Geodetic Observing System (GGOS) has enabled monitoring of mass transport and solid-Earth deformation processes with unprecedented accuracy. Coseismic deformation is modelled as an elastic response of the solid Earth to an internal dislocation. Self-gravitating spherical Earth models can be employed in modelling regional to global scale deformations. Recent seismic tomography and high-pressure/high-temperature experiments have revealed finer-scale lateral heterogeneities in the elasticity and density structures within the Earth, which motivates us to quantify the effects of such finer structures on coseismic deformation. To achieve this, fully numerical approaches including the Finite Element Method (FEM) have often been used. In our previous study, we presented a spectral FEM, combined with an iterative perturbation method, to consider lateral heterogeneities in the bulk and shear moduli for surface loading. The distinct feature of this approach is that the deformation of the entire sphere is modelled in the spectral domain with finite elements dependent only on the radial coordinate. By this, self-gravitation can be treated without special treatments employed when using an ordinary FEM. In this study, we extend the formulation so that it can deal with lateral heterogeneities in density in the case of coseismic deformation. We apply this approach to a longer-wavelength vertical deformation due to a large earthquake. The result shows that the deformation for a laterally heterogeneous density distribution is suppressed mainly where the density is larger, which is consistent with the fact that self-gravitation reduces longer-wavelength deformations for 1-D models. The effect on the vertical displacement is relatively small, but the effect on the gravity change could amount to the same order of magnitude of a given heterogeneity if the horizontal scale of the heterogeneity is large enough.

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???ViewItemFull_lblLanguages???: eng - English
 ???ViewItemFull_lblDates???: 2023-12-062024
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 ???ViewItemFull_lblIdentifiers???: ???ENUM_IDENTIFIERTYPE_DOI???: 10.1007/1345_2023_236
???ENUM_IDENTIFIERTYPE_GFZPOF???: p4 T2 Ocean and Cryosphere
???ENUM_IDENTIFIERTYPE_OATYPE???: Gold - DEAL Springer Nature
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???ViewItemFull_lblSourceTitle???: X Hotine-Marussi Symposium on Mathematical Geodesy: Proceedings of the Symposium in Milan, Italy, June 13-17, 2022
???ViewItemFull_lblSourceGenre???: ???ENUM_GENRE_BOOK???
 ???ViewItemFull_lblSourceCreators???:
Freymueller, Jeffrey T. 1, ???ENUM_CREATORROLE_EDITOR???
Sánchez, Laura1, ???ENUM_CREATORROLE_EDITOR???
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1 External Organizations, ou_persistent22            
???ViewItemFull_lblSourcePubInfo???: Berlin, Heidelberg : Springer
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???ENUM_IDENTIFIERTYPE_ISBN???: 978-3-031-55362-2

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???ViewItemFull_lblSourceTitle???: International Association of Geodesy Symposia
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