title: Elastodynamic Green's function retrieval through single-sided Marchenko inverse scattering.
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.
authors.affiliation: School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom.
authors.forename: Carlos Alberto
authors.initials: CA
authors.lastname: da Costa Filho
authors.affiliation: School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom.
authors.forename: Matteo
authors.initials: M
authors.lastname: Ravasi
authors.affiliation: School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom.
authors.forename: Andrew
authors.initials: A
authors.lastname: Curtis
authors.affiliation: School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom.
authors.forename: Giovanni Angelo
authors.initials: GA
authors.lastname: Meles