Decomposition of the Green's function using the Marchenko equation

Conference paper (2017)

Authors

J.A. Brackenhoff Applied Geophysics and Petrophysics -

J.R. van der Neut Applied Geophysics and Petrophysics - ,

C.P.A. Wapenaar Applied Geophysics and Petrophysics - ,

DOI: https://doi.org/10.1190/segeab.36

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Published Date

2017

Language

English

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Abstract

The Marchenko equation can be used to retrieve the Green’s function at depth as a full function or decomposed into its upand downgoing parts. We show that the equation can be rewritten to create a decomposition scheme that can decompose a full wavefield, that was recorded at depth, into its up- and downgoing parts. We show that this can be done without a smooth velocity model that the Marchenko scheme requires and without any knowledge of the medium properties that traditional decomposition methods require. Instead we only need a the reflection response and a wavefield that has been recorded at the
surface due to a source at depth or (by using source-receiver reciprocity) that was measured down in a borehole due to a source at the surface. We also validate our results by comparing them to directly modeled up- and downgoing wavefields.

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