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Published April 1988 | Published
Journal Article Open

An iterative inversion of back-scattered acoustic waves

Abstract

The application of the Born approximation to the scattered wave field, followed by a WKBJ and far-field approximation on the propagation Green's function for a slowly varying background medium, leads to a simple integral relation between the density and bulk-modulus anomalies superimposed on the background medium and the scattered wave field. An iterative inversion scheme based on successive back-projections of the wave field is used to reconstruct the two acoustic parameters. The scheme, when applied to data generated using the direct integral relation, shows that the variations of the parameters can be reconstructed. The procedure is readily applicable to actual data, since every iterative step is essentially a prestack Kirchhoff migration followed by the application of the direct Born approximation and far-field operator.

Additional Information

© 1988 Society of Exploration Geophysicists. Presented at the 54th Annual International Meeting, Society of Exploration Geophysicists, 1984. Manuscript received by the Editor August 27, 1986; revised manuscript received September 4, 1987. We would like to thank John Louie and Christof Stork from Caltech for their help and suggestions. We would also like to thank Prof. Albert Tarantola from I.P.G. (Paris) for suggesting the iterative method presented here. This work was partially supported by a National Science Foundation PYI award to RWC. Contribution no. 4353 from the Division of Geological and Planetary Science, California Institute of Technology.

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August 19, 2023
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