2014
DOI: 10.1093/gji/ggu269
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Seismic wave propagation in fully anisotropic axisymmetric media

Abstract: S U M M A R YWe present a numerical method to compute 3-D elastic waves in fully anisotropic axisymmetric media. This method is based on a decomposition of the wave equation into a series of uncoupled 2-D equations for which the dependence of the wavefield on the azimuth can be solved analytically. Four independent equations up to quadrupole order appear as solutions for moment-tensor sources located on the symmetry axis while single forces can be accommodated by two separate solutions up to dipole order. This… Show more

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Cited by 23 publications
(5 citation statements)
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References 57 publications
(71 reference statements)
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“…To simulate IC anisotropy with a fast axis parallel to ERA, we use ak135 (Kennett et al., 1995) as a background model and compare it to ak135 with an increased IC vp ${v}_{p}$ of 3.2% along the polar direction (Van Driel & Nissen‐Meyer, 2014), which is a similar strength of IC anisotropy inferred by pioneering studies (e.g., Morelli et al., 1986; Tromp, 1993). The negative peak in the amplitude (white fringe) at 2,405 s on the correlogram (Figure 3a) followed by a positive peak in the amplitude (black fringe) corresponds to the energy arrival of I2*.…”
Section: New Methods Developmentmentioning
confidence: 95%
“…To simulate IC anisotropy with a fast axis parallel to ERA, we use ak135 (Kennett et al., 1995) as a background model and compare it to ak135 with an increased IC vp ${v}_{p}$ of 3.2% along the polar direction (Van Driel & Nissen‐Meyer, 2014), which is a similar strength of IC anisotropy inferred by pioneering studies (e.g., Morelli et al., 1986; Tromp, 1993). The negative peak in the amplitude (white fringe) at 2,405 s on the correlogram (Figure 3a) followed by a positive peak in the amplitude (black fringe) corresponds to the energy arrival of I2*.…”
Section: New Methods Developmentmentioning
confidence: 95%
“…Apart from a compromise on model symmetry, the solver does not make any limiting assumptions regarding short-period wave propagation physics (the lack of rotation and gravity is not relevant for periods below 100 s) or on the source radiation pattern. Transverse anisotropy -the most complex type of anisotropy for a spherically symmetric model [61] -and attenuation [62] can also be accounted for.…”
Section: Axisem: 25-d Global Wavefieldsmentioning
confidence: 99%
“…To this end, the spectral-element solver AxiSEM was used (Nissen-Meyer et al, 2014). It separates the problem of wave propagation in a cylindrically or spherically symmetric object into an analytical solution of the problem in the azimuthal (ϕ) direction perpendicular to the source-receiver plane, and a numerical spectral-element discretisation within the in-plane r, θ, which reduces the numerical cost to that of a 2D method (Nissen-Meyer et al, 2008 and includes attenuation (van Driel and Nissen-Meyer, 2014a) and anisotropy (van Driel and Nissen-Meyer, 2014b). The software was modified to handle general 1D velocity profiles.…”
Section: Wavefield Modelingmentioning
confidence: 99%