Abstract
Most prestack traveltime relations we tend work with are based on homogeneous (or semi-homogenous, possibly effective) media approximations. This includes the multi-focusing or double square-root (DSR) and the common reflection stack (CRS) equations. Using the DSR equation, I analyze the associated eikonal form in the general source-receiver domain. Like its wave-equation counterpart, it suffers from a critical singularity for horizontally traveling waves. As a result, I derive expansion based solutions of this eikonal based on polynomial expansions in terms of the reflection and dip angles in a generally inhomogenous background medium. These approximate solutions are free of singularities and can be used to estimate travetimes for small to moderate offsets (or reflection angles) in a generally inhomogeneous medium. A Marmousi example demonstrates the usefulness of the approach.
| Original language | English (US) |
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| Title of host publication | Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 |
| Publisher | Society of Exploration Geophysicists |
| Pages | 3017-3021 |
| Number of pages | 5 |
| ISBN (Print) | 9781618391841 |
| State | Published - 2011 |
| Event | Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 - San Antonio, United States Duration: Sep 18 2011 → Sep 23 2011 |
Publication series
| Name | Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 |
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Conference
| Conference | Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 |
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| Country/Territory | United States |
| City | San Antonio |
| Period | 09/18/11 → 09/23/11 |
Bibliographical note
Publisher Copyright:© 2011 SEG.
ASJC Scopus subject areas
- Geophysics