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GEOREF RECORD

The velocity inversion problem; present status, new directions

Norman Bleistein and Jack K. Cohen
The velocity inversion problem; present status, new directions
Geophysics (November 1982) 47 (11): 1497-1511

Abstract

The research program in seismic exploration in progress in the Mathematics Dept. of the Univ. of Denver is described. The mathematical formulations employed by this group are outlined and results of computer implementation are depicted. Ongoing research is also presented. The main method we have developed is identified here by the term 'velocity inversion.' This is a method based upon perturbation theory, leading to a linear integral equation for the variation in velocity from a fixed reference value. Applied to high-frequency data, the method yields a map of the interfaces in the interior of the earth, as well as estimates of reflection strength at those interfaces. A new non-perturbation approach to the velocity inversion problem is also presented. This is a high-frequency method which accounts for two major nonlinear effects, namely, transmission losses and refraction. The method also has some similarity to wave-equation migration in that a wave equation is derived for the ensemble of backscattered signals, scaled by time, and with initial data having their support on the reflecting surfaces and in known proportion to the reflection strength.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 47
Serial Issue: 11
Title: The velocity inversion problem; present status, new directions
Affiliation: Univ. Denver, Dep. Math., Denver, CO, United States
Pages: 1497-1511
Published: 198211
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 36
Accession Number: 1983-007893
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 1 table
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: 1983
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