• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    A decoupled scheme to solve the mass and momentum conservation equations of the improved Darcy–Brinkman–Forchheimer framework in matrix acidization

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    5.0067340.pdf
    Size:
    15.73Mb
    Format:
    PDF
    Description:
    publisher's version
    Download
    Type
    Article
    Authors
    Wu, Yuanqing cc
    Kou, Jisheng cc
    Wu, Yu-Shu cc
    Sun, Shuyu cc
    Xia, Yilin
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2021-12-01
    Preprint Posting Date
    2020-08-07
    Permanent link to this record
    http://hdl.handle.net/10754/673925
    
    Metadata
    Show full item record
    Abstract
    Matrix acidization simulation is a challenging task in the study of flows in porous media due to the changing porosity in the procedure. The improved Darcy–Brinkman–Forchheimer framework is one model to do this simulation. In this framework, the mass and momentum conservation equations are discretized to form a pressure–velocity linear system. However, the coefficient matrix of the linear system has a large condition number, and solving the linear system belongs to the saddle point problem. As a result of that, convergence is hard to achieve when solving it with iterative solvers. It is well known that the scale of the linear systems in matrix acidization simulation is large, and therefore, the usage of iterative solvers is required. Thus, a decoupled scheme is proposed in this work to decouple the pressure–velocity linear system into two independent linear systems: one is to solve for pressure, and the other one is to solve for velocity. It is emphasized that both of the linear systems are discretized from the elliptical partial differential equations, which guarantees fast convergence can be achieved by iterative solvers. A numerical experiment is carried out to demonstrate the correctness of the decoupled scheme and its higher computing efficiency. After that, the decoupled scheme is applied in investigating the factors that cannot change the optimal injected velocity and the dissolution pattern in matrix acidization.
    Citation
    Wu, Y., Kou, J., Wu, Y.-S., Sun, S., & Xia, Y. (2021). A decoupled scheme to solve the mass and momentum conservation equations of the improved Darcy–Brinkman–Forchheimer framework in matrix acidization. AIP Advances, 11(12), 125305. doi:10.1063/5.0067340
    Sponsors
    This work was supported by the Peacock Plan Foundation of Shenzhen (Grant No. 000255) and the General Program of Natural Science Foundation of Shenzhen (Grant No. 20200801100615003)
    Publisher
    AIP Publishing
    Journal
    AIP Advances
    DOI
    10.1063/5.0067340
    arXiv
    2008.03268
    Additional Links
    https://aip.scitation.org/doi/10.1063/5.0067340
    ae974a485f413a2113503eed53cd6c53
    10.1063/5.0067340
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.