Green’s function representations for Marchenko imaging without up/down decomposition
C.P.A. Wapenaar (TU Delft - ImPhys/Medical Imaging, TU Delft - Applied Geophysics and Petrophysics)
Roel Snieder (Colorado School of Mines)
Sjoerd de de Ridder (University of Leeds)
E.C. Slob (TU Delft - Applied Geophysics and Petrophysics)
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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.