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Elastic modeling in discontinuous media

Carlos A. Cunha
Elastic modeling in discontinuous media
Geophysics (December 1993) 58 (12): 1840-1851

Abstract

Results from elastic-wave simulations in a simple model show that for models characterized by a set of layers with sharp boundaries (discontinuous stiffness tensor), traditional finite-difference methods fail to correctly describe the dynamics of the propagation process. The failure comes from the lack of distinction between model and field variables; the same differential operator is applied to discontinuous (model) and continuous (wavefield) components. This problem is solved with a modified high-order finite-difference modeling scheme (dual-operator method) that uses two distinct operators for evaluating the model and field derivatives, a modified version of Virieux-staggered grid, and Shoenberg-Muir averaging relations. The dual-operator method generates a dynamic response that is more accurate than traditional finite-difference schemes and comparable to Haskell-Thomson propagator-matrix schemes, with the advantage that it can be applied to structurally complex models. The method produces stable, accurate results for both solid and liquid layers.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 58
Serial Issue: 12
Title: Elastic modeling in discontinuous media
Author(s): Cunha, Carlos A.
Affiliation: Stanford University, Geophysics Department, Stanford, CA, United States
Pages: 1840-1851
Published: 199312
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 18
Accession Number: 1994-001745
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: 199401
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