Seismic Migration And Mathematical Mapping

P. W. Buchen

doi:10.1071/EG991055

ISSN: 0812-3985
E-ISSN: 1834-7533

Seismic Migration And Mathematical Mapping
Authors P. W. Buchen^a
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^a Department of Applied Mathematics University of Sydney
Publisher: Australian Society of Exploration Geophysicists
Source: Exploration Geophysics, Volume 22, Issue 1, Mar 1991, p. 55 - 58
DOI: https://doi.org/10.1071/EG991055
- Published online: 01 Mar 1991

Abstract

This paper is concerned with fundamental properties of seismic imaging (forward modelling) and migration (inverse modelling). The precise mathematical nature of the transformations connecting model space and data space are analyzed and found to belong to a family of mappings called contact or symplectic transformations. The transformations are found explicitly for the case of constant velocity media, so that their structure and properties can be analytically developed. Both geometrical and dynamical aspects of the transformations are discussed. The analysis provides a powerful insight into the nature of seismic imaging and migration.

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1991-03-01

2026-01-13

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References

Cooke, J. C, (1982). ‘Stationary phase in two dimensions’. J. Appl. Maths.29, 25-37.
Guillemin, V., and Sternberg, S., (1984). Symplectic techniques in physics. C.U.R Hilterman, F. J., (1975). ‘Amplitudes of seismic waves - a quick look’. Geophysics, 40, 745-762.
Schneider, W. A., (1978). ‘Integral formulation for migration in two and three dimensions‘. Geophysics, 43, 49-76.
Silvia, M. T, and Robinson, E. A., (1979). Deconvolution of geophysical time series in the exploration for oil and natural gas. Elsevier.

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Article Type: Research Article

Keyword(s): constant velocity media; contact transformations; seismic imaging; seismic migration

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Seismic Migration And Mathematical Mapping

Abstract

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