Nonuniform grid implicit spatial finite difference method for acoustic wave modeling in tilted transversely isotropic media

Handle URI:
http://hdl.handle.net/10754/599005
Title:
Nonuniform grid implicit spatial finite difference method for acoustic wave modeling in tilted transversely isotropic media
Authors:
Chu, Chunlei; Stoffa, Paul L.
Abstract:
Discrete earth models are commonly represented by uniform structured grids. In order to ensure accurate numerical description of all wave components propagating through these uniform grids, the grid size must be determined by the slowest velocity of the entire model. Consequently, high velocity areas are always oversampled, which inevitably increases the computational cost. A practical solution to this problem is to use nonuniform grids. We propose a nonuniform grid implicit spatial finite difference method which utilizes nonuniform grids to obtain high efficiency and relies on implicit operators to achieve high accuracy. We present a simple way of deriving implicit finite difference operators of arbitrary stencil widths on general nonuniform grids for the first and second derivatives and, as a demonstration example, apply these operators to the pseudo-acoustic wave equation in tilted transversely isotropic (TTI) media. We propose an efficient gridding algorithm that can be used to convert uniformly sampled models onto vertically nonuniform grids. We use a 2D TTI salt model to demonstrate its effectiveness and show that the nonuniform grid implicit spatial finite difference method can produce highly accurate seismic modeling results with enhanced efficiency, compared to uniform grid explicit finite difference implementations. © 2011 Elsevier B.V.
Citation:
Chu C, Stoffa PL (2012) Nonuniform grid implicit spatial finite difference method for acoustic wave modeling in tilted transversely isotropic media. Journal of Applied Geophysics 76: 44–49. Available: http://dx.doi.org/10.1016/j.jappgeo.2011.09.027.
Publisher:
Elsevier BV
Journal:
Journal of Applied Geophysics
Issue Date:
Jan-2012
DOI:
10.1016/j.jappgeo.2011.09.027
Type:
Article
ISSN:
0926-9851
Sponsors:
Stoffa would like to acknowledge the King Abdullah University of Science and Technology (KAUST) for their support of his research. We gratefully acknowledge the useful comments from two anonymous reviewers, which helped improve the original manuscript. We thank ConocPhillips for permission to publish this work.
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Full metadata record

DC FieldValue Language
dc.contributor.authorChu, Chunleien
dc.contributor.authorStoffa, Paul L.en
dc.date.accessioned2016-02-25T13:51:02Zen
dc.date.available2016-02-25T13:51:02Zen
dc.date.issued2012-01en
dc.identifier.citationChu C, Stoffa PL (2012) Nonuniform grid implicit spatial finite difference method for acoustic wave modeling in tilted transversely isotropic media. Journal of Applied Geophysics 76: 44–49. Available: http://dx.doi.org/10.1016/j.jappgeo.2011.09.027.en
dc.identifier.issn0926-9851en
dc.identifier.doi10.1016/j.jappgeo.2011.09.027en
dc.identifier.urihttp://hdl.handle.net/10754/599005en
dc.description.abstractDiscrete earth models are commonly represented by uniform structured grids. In order to ensure accurate numerical description of all wave components propagating through these uniform grids, the grid size must be determined by the slowest velocity of the entire model. Consequently, high velocity areas are always oversampled, which inevitably increases the computational cost. A practical solution to this problem is to use nonuniform grids. We propose a nonuniform grid implicit spatial finite difference method which utilizes nonuniform grids to obtain high efficiency and relies on implicit operators to achieve high accuracy. We present a simple way of deriving implicit finite difference operators of arbitrary stencil widths on general nonuniform grids for the first and second derivatives and, as a demonstration example, apply these operators to the pseudo-acoustic wave equation in tilted transversely isotropic (TTI) media. We propose an efficient gridding algorithm that can be used to convert uniformly sampled models onto vertically nonuniform grids. We use a 2D TTI salt model to demonstrate its effectiveness and show that the nonuniform grid implicit spatial finite difference method can produce highly accurate seismic modeling results with enhanced efficiency, compared to uniform grid explicit finite difference implementations. © 2011 Elsevier B.V.en
dc.description.sponsorshipStoffa would like to acknowledge the King Abdullah University of Science and Technology (KAUST) for their support of his research. We gratefully acknowledge the useful comments from two anonymous reviewers, which helped improve the original manuscript. We thank ConocPhillips for permission to publish this work.en
dc.publisherElsevier BVen
dc.subjectAcoustic wave propagationen
dc.subjectImplicit finite differenceen
dc.subjectNonuniform griden
dc.subjectTilted transversely isotropicen
dc.titleNonuniform grid implicit spatial finite difference method for acoustic wave modeling in tilted transversely isotropic mediaen
dc.typeArticleen
dc.identifier.journalJournal of Applied Geophysicsen
dc.contributor.institutionConocoPhillips, Houston, United Statesen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
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