Elastodynamic Green's function retrieval through single-sided Marchenko inverse scattering

Carlos Alberto Da Costa Filho, Matteo Ravasi, Andrew Curtis, Giovanni Angelo Meles

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72 Scopus citations


The solution of the inverse scattering problem for the one-dimensional Schrödinger equation is given by the Marchenko equation. Recently, a Marchenko-type equation has been derived for three-dimensional (3D) acoustic wave fields, whose solution has been shown to recover the Green's functions from points within the medium to its exterior, using only single-sided scattered data. Here we extend this approach to 3D vectorial wave fields that satisfy the elastodynamic wave equation and recover Green's functions from points interior to an elastic, solid-state medium from purely external and one-sided measurements. The method is demonstrated in a solid-earth-like model to construct Green's functions using only subsurface sources, from earth-surface force and deformation sources and particle velocity and stress measurements.
Original languageEnglish (US)
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number6
StatePublished - Dec 1 2014
Externally publishedYes

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Generated from Scopus record by KAUST IRTS on 2022-09-13


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