2017
DOI: 10.1186/s40623-017-0651-1
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Quasi-Cartesian finite-difference computation of seismic wave propagation for a three-dimensional sub-global model

Abstract: A simple and efficient finite-difference scheme is developed to calculate seismic wave propagation in a partial spherical shell model of a three-dimensionally (3-D) heterogeneous global Earth structure for modeling on regional or sub-global scales where the effects of the Earth's spherical geometry cannot be ignored. This scheme solves the elastodynamic equation in the quasi-Cartesian coordinate form similar to the local Cartesian one, instead of the spherical polar coordinate form, with a staggered-grid finit… Show more

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Cited by 8 publications
(10 citation statements)
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References 26 publications
(20 reference statements)
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“…To address this problem, a flexible grid method that arranges grid nodes at irregular intervals (Zhao, 2009) and a method that moves the study region to the equator by global coordinate transformation (Gupta et al, 2009; Kobayashi & Zhao, 2004) have been proposed. In this study, we adopt one of the latter methods using the transformation from equatorial to ecliptic coordinates, which is proposed in the field of seismic waveform modeling (i.e., the quasi‐Cartesian approach) (Takenaka et al, 2017). Details of the coordinate transformation are given in Appendix A.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…To address this problem, a flexible grid method that arranges grid nodes at irregular intervals (Zhao, 2009) and a method that moves the study region to the equator by global coordinate transformation (Gupta et al, 2009; Kobayashi & Zhao, 2004) have been proposed. In this study, we adopt one of the latter methods using the transformation from equatorial to ecliptic coordinates, which is proposed in the field of seismic waveform modeling (i.e., the quasi‐Cartesian approach) (Takenaka et al, 2017). Details of the coordinate transformation are given in Appendix A.…”
Section: Methodsmentioning
confidence: 99%
“…Following Takenaka et al (2017), we assume that the location (longitude, latitude) of a reference point and an arbitrary point in the equatorial coordinates are represented by (γ′, ε) and (α′, δ), respectively ( Figure S22a). We define the position of the arbitrary point to be (α, δ) when rotated by an angle ψ around the Earth's axis, and the reference point would then be (90°, ε) ( Figure S22b).…”
Section: Appendix A: Coordinate Transformationmentioning
confidence: 99%
“…We conduct a global coordinate transformation of the study region by moving its center to the equator (Takenaka et al, 2017;Toyokuni et al, 2020a), so that we can set 3-D grid nodes for the tomographic inversion uniformly both in the longitude and latitude directions. Following Toyokuni et al (2020a), we move the station SUMG (longitude, latitude)=(−38.461°, 72.574°) on the GrIS summit to a point on the equator   (90 , 0 ) E .…”
Section: Methodsmentioning
confidence: 99%
“…When we attempt to specify the study area located in high‐latitude regions such as Greenland using longitudinal and latitudinal ranges, a fan‐shaped area is cut out in the horizontal direction. Therefore, in this study, we apply a method that moves the center of the study region to the equator by a global coordinate transformation (Takenaka et al, 2017). We transform all earthquakes and seismic stations used from the equatorial to ecliptic coordinates so that the location (longitude, latitude) of a reference point in the study region is transformed to (90°, 0°).…”
Section: Methodsmentioning
confidence: 99%