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    Mode decomposition methods for flows in high-contrast porous media. A global approach

    Access Status
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    Authors
    Ghommem, M.
    Calo, Victor
    Efendiev, Y.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Ghommem, M. and Calo, V. and Efendiev, Y. 2014. Mode decomposition methods for flows in high-contrast porous media. A global approach. Journal of Computational Physics. 257 (Pt A): pp. 400-413.
    Source Title
    Journal of Computational Physics
    DOI
    10.1016/j.jcp.2013.09.031
    ISSN
    0021-9991
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/63361
    Collection
    • Curtin Research Publications
    Abstract

    We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeability fields with high contrast are considered to investigate the capability of these techniques to capture the main flow features and forecast the flow evolution within a certain accuracy. A DMD-based approach shows a better predictive capability due to its ability to accurately extract the information relevant to long-time dynamics, in particular, the slowly-decaying eigenmodes corresponding to largest eigenvalues. Our study enables a better understanding of the strengths and weaknesses of the applicability of these techniques for flows in high-contrast porous media. Furthermore, we discuss the robustness of DMD- and POD-based reduced-order models with respect to variations in initial conditions, permeability fields, and forcing terms. © 2013 Elsevier Inc.

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