IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v107y2015icp24-45.html
   My bibliography  Save this article

Mixed finite element method and the characteristics-mixed finite element method for a slightly compressible miscible displacement problem in porous media

Author

Listed:
  • Sun, Tongjun
  • Yuan, Yirang

Abstract

Single-phase, two-component slightly compressible miscible flow in porous media, is governed by a system of nonlinear partial differential equations. The density of the mixture is related to the pressure and the concentration. An approximate scheme is introduced for this system, which is constructed by two methods. A standard mixed finite element is used for the pressure equation. A characteristic-mixed finite element method is presented for the concentration equation. Characteristic approximation is applied to handle the convection part of the concentration equation, and a lowest order mixed finite element spatial approximation is adopted to deal with the diffusion part. Thus, the scalar unknown concentration and the diffusive flux can be approximated simultaneously. In order to derive the optimal L2-norm error estimates, a post-processing step is included in the approximation to the scalar unknown concentration. A numerical experiment is presented finally to validate the theoretical analysis.

Suggested Citation

  • Sun, Tongjun & Yuan, Yirang, 2015. "Mixed finite element method and the characteristics-mixed finite element method for a slightly compressible miscible displacement problem in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 107(C), pages 24-45.
    • Handle: RePEc:eee:matcom:v:107:y:2015:i:c:p:24-45
    DOI: 10.1016/j.matcom.2014.07.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475414001645
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2014.07.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:107:y:2015:i:c:p:24-45. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.