Representations for the Marchenko Method for imperfectly sampled data

Conference paper (2019)

Authors

C.P.A. Wapenaar Applied Geophysics and Petrophysics - CEG ,
J.E. van IJsseldijk Applied Geophysics and Petrophysics - CEG
Research Group
Applied Geophysics and Petrophysics (CEG) (TU Delft)
Copyright: © 2019 C.P.A. Wapenaar, J.E. van IJsseldijk
DOI: https://doi.org/10.1190/segam2019-3216035.1
More Info
expand_more

Published Date

2019

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Civil Engineering & Geosciences

Department

Geoscience and Engineering

Research Group

Applied Geophysics and Petrophysics

Abstract

The Marchenko method is based on two integral representations for focusing functions and Green’s functions. In practice the integrals are replaced by finite summations. This works well for regularly sampled data, but the quality of the results degrades in case of imperfect sampling. We reformulate the integral representations into summation representations which properly account for imperfectly sampled data and we illustrate these representations with numerical examples. We indicate how these representations may be used to modify the Marchenko method to account for imperfect sampling.