Prestack traveltime approximations

Tariq Alkhalifa*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish (US)
Title of host publicationSociety of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011
PublisherSociety of Exploration Geophysicists
Pages3017-3021
Number of pages5
ISBN (Print)9781618391841
StatePublished - Jan 1 2011
EventSociety of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 - San Antonio, United States
Duration: Sep 18 2011Sep 23 2011

Publication series

NameSociety of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011

Conference

ConferenceSociety of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011
CountryUnited States
CitySan Antonio
Period09/18/1109/23/11

ASJC Scopus subject areas

  • Geophysics

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