Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations

Most of the wavefield downward continuation migration approaches are relying on one-way wave equations, which move the seismic energy always in one direction along depth. The one-way downward continuation migrations only use the primaries for imaging and do not treat secondary reflections recorded o...

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Main Authors: Bangyu Wu, Ru-Shan Wu, Jinghuai Gao
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Geophysics
Online Access:http://dx.doi.org/10.1155/2012/968090
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author Bangyu Wu
Ru-Shan Wu
Jinghuai Gao
author_facet Bangyu Wu
Ru-Shan Wu
Jinghuai Gao
author_sort Bangyu Wu
collection DOAJ
description Most of the wavefield downward continuation migration approaches are relying on one-way wave equations, which move the seismic energy always in one direction along depth. The one-way downward continuation migrations only use the primaries for imaging and do not treat secondary reflections recorded on the surface correctly. In this paper, we investigate wavefield depth extrapolators based on the full acoustic wave equations, which can propagate wave components to opposite directions. Several two-way wavefield downward continuation propagators are numerically tested in this study. Recursively implementing of the depth extrapolator makes it necessary and important to eliminate the unstable wave modes, that is, evanescent waves. For the laterally varying velocity media, distinction between the propagating and evanescent wave mode is less clear. We demonstrate that the spatially localized two-way beamlet propagator is an effective way to remove the evanescent waves while maintain the propagating mode in laterally inhomogeneous media.
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spelling doaj-art-b2b8b50b314c4432bb6a5bda4c1f590a2025-02-03T01:23:59ZengWileyInternational Journal of Geophysics1687-885X1687-88682012-01-01201210.1155/2012/968090968090Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave EquationsBangyu Wu0Ru-Shan Wu1Jinghuai Gao2The School of Electronic and Information Engineering and Institute of Wave and Information, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, ChinaModeling and Imaging Laboratory, Institute of Geophysics and Planetary Physics, University of California Santa Cruz, Santa Cruz, CA 95064, USAThe School of Electronic and Information Engineering and Institute of Wave and Information, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, ChinaMost of the wavefield downward continuation migration approaches are relying on one-way wave equations, which move the seismic energy always in one direction along depth. The one-way downward continuation migrations only use the primaries for imaging and do not treat secondary reflections recorded on the surface correctly. In this paper, we investigate wavefield depth extrapolators based on the full acoustic wave equations, which can propagate wave components to opposite directions. Several two-way wavefield downward continuation propagators are numerically tested in this study. Recursively implementing of the depth extrapolator makes it necessary and important to eliminate the unstable wave modes, that is, evanescent waves. For the laterally varying velocity media, distinction between the propagating and evanescent wave mode is less clear. We demonstrate that the spatially localized two-way beamlet propagator is an effective way to remove the evanescent waves while maintain the propagating mode in laterally inhomogeneous media.http://dx.doi.org/10.1155/2012/968090
spellingShingle Bangyu Wu
Ru-Shan Wu
Jinghuai Gao
Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
International Journal of Geophysics
title Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
title_full Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
title_fullStr Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
title_full_unstemmed Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
title_short Preliminary Investigation of Wavefield Depth Extrapolation by Two-Way Wave Equations
title_sort preliminary investigation of wavefield depth extrapolation by two way wave equations
url http://dx.doi.org/10.1155/2012/968090
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AT jinghuaigao preliminaryinvestigationofwavefielddepthextrapolationbytwowaywaveequations