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Full Waveform Inversion for Time–Distance Helioseismology

Author(s): Hanasoge, Shravan M; Tromp, Jeroen

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dc.contributor.authorHanasoge, Shravan M-
dc.contributor.authorTromp, Jeroen-
dc.date.accessioned2023-12-14T17:54:58Z-
dc.date.available2023-12-14T17:54:58Z-
dc.date.issued2014-03-05en_US
dc.identifier.citationHanasoge, Shravan M., and Jeroen Tromp. "Full waveform inversion for time-distance helioseismology." The Astrophysical Journal 784, no. 1 (2014). doi:10.1088/0004-637X/784/1/69.en_US
dc.identifier.issn0004-637X-
dc.identifier.urihttps://arxiv.org/pdf/1401.7603.pdf-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1fb4wm1h-
dc.description.abstractInferring interior properties of the Sun from photospheric measurements of the seismic wavefield constitutes the helioseismic inverse problem. Deviations in seismic measurements (such as wave travel times) from their fiducial values estimated for a given model of the solar interior imply that the model is inaccurate. Contemporary inversions in local helioseismology assume that properties of the solar interior are linearly related to measured travel-time deviations. It is widely known, however, that this assumption is invalid for sunspots and active regions and is likely for supergranular flows. Here, we introduce nonlinear optimization, executed iteratively, as a means of inverting for the subsurface structure of large-amplitude perturbations. Defining the penalty functional as the L 2 norm of wave travel-time deviations, we compute the total misfit gradient of this functional with respect to the relevant model parameters at each iteration around the corresponding model. The model is successively improved using either steepest descent, conjugate gradient, or the quasi-Newton limited-memory Broyden-Fletcher-Goldfarb-Shanno algorithm. Performing nonlinear iterations requires privileging pixels (such as those in the near field of the scatterer), a practice that is not compliant with the standard assumption of translational invariance. Measurements for these inversions, although similar in principle to those used in time-distance helioseismology, require some retooling. For the sake of simplicity in illustrating the method, we consider a two-dimensional inverse problem with only a sound-speed perturbation.en_US
dc.language.isoen_USen_US
dc.relation.ispartofThe Astrophysical Journalen_US
dc.rightsAuthor's manuscripten_US
dc.titleFull Waveform Inversion for Time–Distance Helioseismologyen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1088/0004-637X/784/1/69-
dc.identifier.eissn1538-4357-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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