Angus, DA (2007) True amplitude corrections for a narrow-angle one-way elastic wave equation. Geophysics, 72 (2). T19 - T26. ISSN 0016-8033
Abstract
Wavefield extrapolators using one-way wave equations are computationally efficient methods for accurate traveltime modeling in laterally heterogeneous media, and have been used extensively in many seismic forward modeling and migration problems. However, most leading-order, one-way wave equations do not simulate waveform amplitudes accurately and this is primarily because energy flux is not accounted for correctly. I review the derivation of a leading-order, narrow-angle, one-way elastic wave equation for 3D media. I derive correction terms that enable energy-flux normalization and introduce a new higher-order, narrow-angle, one-way elastic wave extrapolator. By implementing these correction terms, the new true amplitude wave extrapolator allows accurate amplitude estimates in the presence of strong gradients. I present numerical examples for 1D velocity transition models to show that (1) the leading-order, narrow-angle propagator accurately models traveltimes, but overestimates transmitted- or primary-wave amplitudes and (2) the new amplitude corrected narrow-angle propagator accurately models both the traveltimes and amplitudes of all forward-traveling waves.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2007 Society of Exploration Geophysicists. This is an author produced version of a paper published in Geophysics. Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | anisotropic media; operator approach; complex-screen; ray theory; scattering; propagation; extrapolation; migration; WKBJ |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Jan 2014 14:40 |
Last Modified: | 26 Nov 2016 01:30 |
Published Version: | http://dx.doi.org/10.1190/1.2430694 |
Status: | Published |
Identification Number: | 10.1190/1.2430694 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77391 |