@inproceedings{2eacd5509fca43a388aa38195d8e116e,
title = "Prestack traveltime approximations",
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.",
author = "Tariq Alkhalifah",
note = "Publisher Copyright: {\textcopyright} 2011 SEG.; Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011 ; Conference date: 18-09-2011 Through 23-09-2011",
year = "2011",
doi = "10.1190/1.3627822",
language = "English (US)",
isbn = "9781618391841",
series = "Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011",
publisher = "Society of Exploration Geophysicists",
pages = "3017--3021",
booktitle = "Society of Exploration Geophysicists International Exposition and 81st Annual Meeting 2011, SEG 2011",
}