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

Carlos Alberto da Costa Filho, Matteo Ravasi, Andrew Curtis, and Giovanni Angelo Meles
Phys. Rev. E 90, 063201 – Published 1 December 2014

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.

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  • Received 13 May 2014

DOI:https://doi.org/10.1103/PhysRevE.90.063201

©2014 American Physical Society

Authors & Affiliations

Carlos Alberto da Costa Filho*, Matteo Ravasi, Andrew Curtis, and Giovanni Angelo Meles

  • School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom

  • *c.costa@ed.ac.uk

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Vol. 90, Iss. 6 — December 2014

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