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Analysis of higher-order, finite-difference schemes in 3-D reverse-time migration

Wen-Jin Wu, Larry R. Lines and Han-Xing Lu
Analysis of higher-order, finite-difference schemes in 3-D reverse-time migration
Geophysics (June 1996) 61 (3): 845-856

Abstract

The design and usefulness of practical algorithms for 3-D reverse-time depth migration is examined, while demonstrating data applications of the algorithm. We evaluate quantitatively the accuracy of the finite-difference operator from second-order to eighth-order for the scalar wave equation by comparing numerical and analytical solutions. The results clearly show the advantage of using higher-order, finite-difference schemes, especially from second-order to fourth-order for space derivatives. Hence, a finite-difference method with the accuracy of fourth-order in space and second-order in time is applied to 3-D full scalar wave equations in reverse-time migration. Considerable savings in CPU and memory are obtained by using larger horizontal grid spacings than the vertical spacings. Therefore, we derive dispersion and stability conditions for such unequal grid spacing. The 3-D reverse-time migration of data from the Hibernia Field shows an image improvement over 2-D migrations, despite the fact that much of the structure was considered to be approximately 2-D. Stable, nondispersive, finite-difference methods of higher order can allow for tractable and efficient 3-D reverse-time migration solutions.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 61
Serial Issue: 3
Title: Analysis of higher-order, finite-difference schemes in 3-D reverse-time migration
Affiliation: Geo-X Systems, Calgary, AB, Canada
Pages: 845-856
Published: 199606
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 13
Accession Number: 1996-051873
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: Memorial University of Newfoundland, CAN, Canada
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: 199617
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