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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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-b2b8b50b314c4432bb6a5bda4c1f590a |
institution | Kabale University |
issn | 1687-885X 1687-8868 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Geophysics |
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 |
work_keys_str_mv | AT bangyuwu preliminaryinvestigationofwavefielddepthextrapolationbytwowaywaveequations AT rushanwu preliminaryinvestigationofwavefielddepthextrapolationbytwowaywaveequations AT jinghuaigao preliminaryinvestigationofwavefielddepthextrapolationbytwowaywaveequations |