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    A discontinuous Galerkin method for P-wave modeling in tilted TI media

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    Type
    Conference Paper
    Authors
    Amler, Thomas
    Alkhalifah, Tariq Ali cc
    Hoteit, Ibrahim cc
    KAUST Department
    Earth Fluid Modeling and Prediction Group
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2014
    Permanent link to this record
    http://hdl.handle.net/10754/575766
    
    Metadata
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    Abstract
    The acoustic approximation is an efficient alternative to the equations of elastodynamics for modeling Pwave propagation in weakly anisotropic media. We present a stable discontinuous Galerkin (DG) method for solving the acoustic approximation in tilted TI media (acoustic TI approximation). The acoustic TI approximation is considered as a modification of the equations of elastodynamics from which a modified energy is derived. The modified energy is obtained by eliminating the shear stress in the coordinates determined by the tilt angle and finding an energy for the remaining unknowns. This construction is valid if the medium is not elliptically anisotropic, a requirement frequently found in the literature. In the fully discrete setting, the modified energy is also conserved in time the presence of sharp contrasts in material parameters. By construction, the scheme can be coupled to the (fully) acoustic wave equation in the same way as the equations of elastodynamics. Hence, the number of unknowns can be reduced in acoustic regions. Our numerical examples confirm the conservation of energy in the discrete setting and the stability of the scheme.
    Publisher
    EAGE Publications
    Journal
    Proceedings 76th EAGE Conference and Exhibition 2014
    Conference/Event name
    76th European Association of Geoscientists and Engineers Conference and Exhibition 2014: Experience the Energy - Incorporating SPE EUROPEC 2014
    ISBN
    9781632666949
    DOI
    10.3997/2214-4609.20141529
    ae974a485f413a2113503eed53cd6c53
    10.3997/2214-4609.20141529
    Scopus Count
    Collections
    Conference Papers; Environmental Science and Engineering Program; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Earth Science and Engineering Program

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