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Spectral-finite element approach to post-seismic relaxation in a spherical compressible Earth: application to gravity changes due to the 2004 Sumatra-Andaman earthquake

Tanaka, Y., Hasegawa, T., Tsuruoka, H., Klemann, V., and Martinec, Z., 2015. Spectral-finite element approach to post-seismic relaxation in a spherical compressible Earth: application to gravity changes due to the 2004 Sumatra-Andaman earthquake. Geophysical Journal International, 200(1):299–321, doi:10.1093/gji/ggu391.

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@ARTICLE{2015GeoJI.200..299T,
       author = {{Tanaka}, Y. and {Hasegawa}, T. and {Tsuruoka}, H. and {Klemann}, V. and {Martinec}, Z.},
        title = "{Spectral-finite element approach to post-seismic relaxation in a spherical compressible Earth: application to gravity changes due to the 2004 Sumatra-Andaman earthquake}",
      journal = {Geophysical Journal International},
     keywords = {Satellite geodesy, Satellite gravity, Transient deformation, Time variable gravity, Subduction zone processes, Rheology: mantle},
         year = 2015,
        month = jan,
       volume = {200},
       number = {1},
        pages = {299-321},
     abstract = "{Global navigation satellite systems (GNSSs) have revealed that a mega-
        thrust earthquake that occurs in an island-arc trench system
        causes post-seismic crustal deformation. Such crustal
        deformation data have been interpreted by combining three
        mechanisms: afterslip, poroelastic rebound and viscoelastic
        relaxation. It is seismologically important to determine the
        contribution of each mechanism because it provides frictional
        properties between the plate boundaries and viscosity estimates
        in the asthenosphere which are necessary to evaluate the stress
        behaviour during earthquake cycles. However, the observation
        sites of GNSS are mostly deployed over land and can detect only
        a small part of the large-scale deformation, which precludes a
        clear separation of the mechanisms. To extend the spatial
        coverage of the deformation area, recent studies started to use
        satellite gravity data that can detect long-wavelength
        deformations over the ocean. To date, compared with theoretical
        models for calculating the post-seismic crustal deformation, a
        few models have been proposed to interpret the corresponding
        gravity variations. Previous approaches have adopted
        approximations for the effects of compressibility, sphericity
        and self-gravitation when computing gravity changes. In this
        study, a new spectral-finite element approach is presented to
        consider the effects of material compressibility for Burgers
        viscoelastic earth model with a laterally heterogeneous
        viscosity distribution. After the basic principles are
        explained, it is applied to the 2004 Sumatra-Andaman earthquake.
        For this event, post-seismic deformation mechanisms are still a
        controversial topic. Using the developed approach, it is shown
        that the spatial patterns of gravity change generated by the
        above three mechanisms clearly differ from one another. A
        comparison of the theoretical simulation results with the
        satellite gravity data obtained from the Gravity Recovery and
        Climate Experiment reveals that both afterslip and viscoelastic
        relaxation are occurring. Considering the spatial patterns in
        satellite gravity fields is an effective method for
        investigating post-seismic deformation mechanisms.}",
          doi = {10.1093/gji/ggu391},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2015GeoJI.200..299T},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

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