Green's function representations for Marchenko imaging without up/down decomposition

Abstract

Marchenko methods are based on integral representations which express Green's functions for virtual sources and/or receivers in the subsurface in terms of the reflection response at the surface. An underlying assumption is that inside the medium the wave field can be decomposed into downgoing and upgoing waves and that evanescent waves can be neglected. We present a new derivation of Green's function representations which circumvents these assumptions, both for the acoustic and the elastodynamic situation. These representations form the basis for research into new Marchenko methods which have the potential to handle refracted and evanescent waves and to more accurately image steeply dipping reflectors.

arXiv comment42 pages, 5 figures

References in corpus (5)

• 3D Marchenko internal multiple attenuation on narrow azimuth streamer data of the Santos Basin, Brazil
• Monitoring induced distributed double-couple sources using Marchenko-based virtual receivers
• Elastodynamic single-sided homogeneous Green's function representation: Theory and numerical examples
• The Marchenko method for evanescent waves
• On the implementation of large-scale integral operators with modern HPC solutions -- Application to 3D Marchenko imaging by least-squares inversion

Cited by in corpus (9)

• Target-oriented least-squares reverse-time migration using Marchenko double-focusing: reducing the artifacts caused by overburden multiples
• Wave-field representations with Green's functions, propagator matrices, and Marchenko-type focusing functions
• Propagator and transfer matrices, Marchenko focusing functions and their mutual relations
• Poroelastic near-field inverse scattering
• On the retrieval of forward-scattered waveforms from acoustic reflection and transmission data with the Marchenko equation
• Target-enclosing inversion using an interferometric objective function
• Multiple reflections on Huygens' principle
• On the relation between the propagator matrix and the Marchenko focusing function
• The role of the background velocity model for the Marchenko focusing of reflected and refracted waves