On Green’s functions, propagator matrices, focusing functions and their mutual relations

On Green’s functions, propagator matrices, focusing functions and their mutual relations

Wapenaar, C.P.A. (TU Delft Applied Geophysics and Petrophysics)
Brackenhoff, J. (Quantairra Research and Development Services B.V.)
De Ridder, S. (University of Leeds)
Slob, E.C. (TU Delft Applied Geophysics and Petrophysics)
Snieder, R. (Colorado School of Mines)

2023

Green’s functions and propagator matrices are both solutions of the wave equation, but whereas Green’s functions obey a causality condition in time (G = 0 for t < 0), propagator matrices obey a boundary condition in space. Marchenko-type focusing functions focus a wave field in space at zero time. We discuss the mutual relations between Green’s functions, propagator matrices and focusing functions, avoiding up-down decomposition and accounting for propagating and evanescent waves. We conclude with discussing a Marchenko-type Green’s function representation, which forms a basis for extending the Marchenko method to improve the imaging of steeply dipping flanks and to account for refracted waves.

http://resolver.tudelft.nl/uuid:1057c91e-4e0b-4c9b-a2c8-75a386e6bd0f

https://doi.org/10.3997/2214-4609.202310755

EAGE

2023-12-08

84th EAGE Annual Conference & Exhibition 2023, 2023

84th EAGE ANNUAL Conference and Exhibition 2023, 2023-06-05 → 2023-06-08, Vienna, Austria

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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conference paper

© 2023 C.P.A. Wapenaar, J. Brackenhoff, S. De Ridder, E.C. Slob, R. Snieder