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Inversion of seismic reflection data in the acoustic approximation

Albert Tarantola
Inversion of seismic reflection data in the acoustic approximation
Geophysics (August 1984) 49 (8): 1259-1266

Abstract

The nonlinear inverse problem for seismic reflection data is solved in the acoustic approximation. The method is based on the generalized least-squares criterion, and it can handle errors in the data set and a priori information on the model. Multiply reflected energy is naturally taken into account, as well as refracted energy or surface waves. The inverse problem can be solved using an iterative algorithm which gives, at each iteration, updated values of bulk modulus, density, and time source function. Each step of the iterative algorithm essentially consists of a forward propagation of the actual sources in the current model and a forward propagation (backward in time) of the data residuals. The correlation at each point of the space of the two fields thus obtained yields the corrections of the bulk modulus and density models. This shows, in particular, that the general solution of the inverse problem can be attained by methods strongly related to the methods of migration of unstacked data, and commercially competitive with them.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 49
Serial Issue: 8
Title: Inversion of seismic reflection data in the acoustic approximation
Author(s): Tarantola, Albert
Affiliation: Univ. Pierre et Marie Curie, Lab. Sismol., Paris, France
Pages: 1259-1266
Published: 198408
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 12
Accession Number: 1985-015760
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
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: 1985
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