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    Model reduction for coupled near-well and reservoir models using multiple space-time discretizations

    Access Status
    Fulltext not available
    Authors
    Kheriji, W.
    Efendiev, Y.
    Calo, Victor
    Gildin, E.
    Date
    2017
    Type
    Book Chapter
    
    Metadata
    Show full item record
    Citation
    Kheriji, W. and Efendiev, Y. and Calo, V. and Gildin, E. 2017. Model reduction for coupled near-well and reservoir models using multiple space-time discretizations. In Benner P., Ohlberger M., Patera A., Rozza G., Urban K. (eds), Model Reduction of Parametrized Systems, 471-490. Champagne: Springer.
    Source Title
    Model Reduction of Parametrized Systems
    DOI
    10.1007/978-3-319-58786-8_29
    ISBN
    978-3-319-58785-1
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/58434
    Collection
    • Curtin Research Publications
    Abstract

    In reservoir simulations, fine fully-resolved grids deliver accurate model representations, but lead to large systems of nonlinear equations to solve every time step. Numerous techniques are applied in porous media flow simulations to reduce the computational effort associated with solving the underlying coupled nonlinear partial differential equations. Many models treat the reservoir as a whole. In other cases, the near-well accuracy is important as it controls the production rate. Near-well modeling requires finer space and time resolution compared with the remaining of the reservoir domain. To address these needs, we combine Model Order Reduction (MOR) with local grid refinement and local time stepping for reservoir simulations in highly heterogeneous porous media. We present a domain decomposition algorithm for a gas flow model in porous media coupling near-well regions, which are locally well-resolved in space and time with a coarser reservoir discretization. We use a full resolution for the near-well regions and apply MOR in the remainder of the domain. We illustrate our findings with numerical results on a gas flow model through porous media in a heterogeneous reservoir.

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