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Spherical-earth Fréchet sensitivity kernels

Abstract : We outline a method that enables the efficient computation of exact Fréchet sensitivity kernels for a non-gravitating 3-D spherical earth model. The crux of the method is a 2-D weak formulation for determining the 3-D elastodynamic response of the earth model to both a moment-tensor and a point-force source. The sources are decomposed into their monopole, dipole and quadrupole constituents, with known azimuthal radiation patterns. The full 3-D response and, therefore, the 3-D waveform sensitivity kernel for an arbitrary source–receiver geometry, can be reconstructed from a series of six independent 2-D solutions, which may be obtained using a spectral-element or other mesh-based numerical method on a 2-D, planar, semicircular domain. This divide-and-conquer, 3-D to 2-D reduction strategy can be used to compute sensitivity kernels for any seismic phase, including grazing and diffracted waves, at relatively low computational cost.
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Tarje Nissen-Meyer, F. A. Dahlen, Alexandre Fournier. Spherical-earth Fréchet sensitivity kernels. Geophysical Journal International, Oxford University Press (OUP), 2007, 168 (3), pp.1051 à 1066. ⟨10.1111/j.1365-246X.2006.03123.x⟩. ⟨insu-00347499⟩



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