Least-squares cross-well migration

Gerard T. Schuster*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

169 Scopus citations


The standard migration algorithm seeks to estimate the reflectivity field As by applying the transpose of the forward modeling operator L to the reflection data pref, i.e. the migrated section is given by As ˜ LT pref. This, however, is an unnecessarily restricted definition that can promote artifacts in the migrated section. A more general definition is to recast the standard migration problem as a linear optimization problem. That is, find As that minimizes the cost function || L ?s - p ||2+ constraints. This provides a general framework to develop a variety of new migration algorithms which might reduce artifacts extant in standard migrated sections. As examples, we introduce several migration algorithms, such as SIRT migration and constrained Conjugate Gradient migration. The benefit might be a more accurate migration at the expense of much more CPU time.

Original languageEnglish (US)
Number of pages4
StatePublished - 1993
Externally publishedYes
Event1993 Society of Exploration Geophysicists Annual Meeting - Washington, United States
Duration: Sep 26 1993Sep 30 1993


Conference1993 Society of Exploration Geophysicists Annual Meeting
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 1993 SEG Annual Meeting. All rights reserved.

ASJC Scopus subject areas

  • Geophysics


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