Prestack traveltime approximations

Tariq Ali Alkhalifah

doi:10.1190/1.3627822

Prestack traveltime approximations

Tariq Ali Alkhalifah

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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. © 2011 Society of Exploration Geophysicists.

Original language	English (US)
Pages (from-to)	3017-3021
Number of pages	5
Journal	SEG Technical Program Expanded Abstracts 2011
Volume	30
Issue number	1
DOIs	https://doi.org/10.1190/1.3627822
State	Published - May 25 2012

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geophysics

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10.1190/1.3627822

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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. {\textcopyright} 2011 Society of Exploration Geophysicists.",

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Prestack traveltime approximations

Abstract

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