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Analytic generalized inverse for transmission+reflection tomography

Gerard T. Schuster
Analytic generalized inverse for transmission+reflection tomography
Geophysics (August 1989) 54 (8): 1046-1049

Abstract

This short note presents a 1-D analytic generalized inverse for VSP transmission + reflection tomography. Its validity is restricted to evenly layered media and negligible ray bending. The significance of the result is that the reliability estimate of slowness for 1-D VSP tomography can be analyzed analytically, rather than by empirical guesswork. This can lead to the design of optimal tomography algorithms and field experiments. For example, Salo and Schuster (1989) observed empirically that reflection + transmission VSP data provided a better velocity reconstruction than do transmission VSP data alone. However, the underlying reason for this improvement was not clearly identified. This short note gives an unambiguous explanation.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 54
Serial Issue: 8
Title: Analytic generalized inverse for transmission+reflection tomography
Author(s): Schuster, Gerard T.
Affiliation: Univ. Utah, Dep. Geol. and Geophys., Salt Lake City, UT, United States
Pages: 1046-1049
Published: 198908
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 2
Accession Number: 1989-053181
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 1989
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