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

Carlos Alberto da Costa Filho1, Matteo Ravasi1, Andrew Curtis1

  • 1School of GeoSciences, University of Edinburgh, Grant Institute, James Hutton Road, Edinburgh EH9 3FE, United Kingdom.

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This summary is machine-generated.

Researchers adapted the Marchenko equation to solve inverse scattering problems for elastic waves. This method reconstructs Green's functions in 3D solid media using only external, one-sided measurements, advancing geophysical imaging.

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Area of Science:

  • Geophysics
  • Wave physics
  • Inverse problems

Background:

  • The Marchenko equation solves inverse scattering for 1D Schrödinger equations.
  • A Marchenko-type equation was recently developed for 3D acoustic wave fields.
  • This allowed Green's function recovery from scattered data within a medium.

Purpose of the Study:

  • To extend the Marchenko-type approach to 3D vectorial elastodynamic wave fields.
  • To recover Green's functions from interior points of elastic media using external data.
  • To demonstrate the method's efficacy in a solid-earth model.

Main Methods:

  • Adaptation of Marchenko-type equations for elastodynamics.
  • Utilizing one-sided, external measurements of scattered wave fields.
  • Application to a solid-earth model with subsurface sources.

Main Results:

  • Successful recovery of Green's functions for 3D elastic wave fields.
  • Demonstration of reconstructing interior Green's functions from surface measurements.
  • Validation using simulated subsurface sources and surface data.

Conclusions:

  • The extended Marchenko-type method effectively reconstructs Green's functions in 3D elastic media.
  • This approach enables subsurface imaging using only surface-based measurements.
  • The technique holds significant potential for geophysical exploration and seismic analysis.