Theory of Wave-equation migration velocity analysis by cascaded image perturbations

Research output: Contribution to journalArticle

Abstract

Wave equation migration velocity analyis (WEMVA) is based on wavefield linearization using the Born approximation which allows image perturbations to be related to the corresponding slowness perturbations. The problem with this linearization is the divergence of the inversion scheme if the image perturbations are large. This imposes severe restrictions on the amount of slowness anomaly that can be estimated using WEMVA. In this paper we suggest the use of cascaded image perturbations to overcome the small slowness perturbation restriction. The idea is to proceed towards the correct image in small steps or cascades so that the image perturbations at each cascade never violate the Born approximation. The large slowness anomaly is then obtained by solving two linear systems at each of these cascades and adding them up.

Original languageEnglish (US)
Pages (from-to)2411-2414
Number of pages4
JournalSEG Technical Program Expanded Abstracts
Volume23
Issue number1
DOIs
StatePublished - Jan 1 2004

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Born approximation
wave equation
Wave equations
Linearization
wave equations
perturbation
Linear systems
cascades
linearization
constrictions
anomalies
anomaly
linear systems
analysis
divergence
inversions

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Geophysics

Cite this

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title = "Theory of Wave-equation migration velocity analysis by cascaded image perturbations",
abstract = "Wave equation migration velocity analyis (WEMVA) is based on wavefield linearization using the Born approximation which allows image perturbations to be related to the corresponding slowness perturbations. The problem with this linearization is the divergence of the inversion scheme if the image perturbations are large. This imposes severe restrictions on the amount of slowness anomaly that can be estimated using WEMVA. In this paper we suggest the use of cascaded image perturbations to overcome the small slowness perturbation restriction. The idea is to proceed towards the correct image in small steps or cascades so that the image perturbations at each cascade never violate the Born approximation. The large slowness anomaly is then obtained by solving two linear systems at each of these cascades and adding them up.",
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Theory of Wave-equation migration velocity analysis by cascaded image perturbations. / Sen, Satyakee; Anandakrishnan, Sridhar.

In: SEG Technical Program Expanded Abstracts, Vol. 23, No. 1, 01.01.2004, p. 2411-2414.

Research output: Contribution to journalArticle

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