1. Elastodynamic Green's function retrieval through single-sided Marchenko inverse scattering.
- Author
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da Costa Filho, Carlos Alberto, Ravasi, Matteo, Curtis, Andrew, and Meles, Giovanni Angelo
- Subjects
- *
GREEN'S functions , *DIFFERENTIAL equations , *POTENTIAL theory (Mathematics) , *MATHEMATICAL physics , *CALCULUS - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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