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Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method.

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Title: Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method.
Authors: Zhang, Jiansong1 (AUTHOR) jzhang@upc.edu.cn, Zhu, Jiang2 (AUTHOR) jiang@lncc.br, Guo, Hui1 (AUTHOR) sdugh@163.com, Wang, Yiming1 (AUTHOR) 1164324059@qq.com, Liu, Yanyu1 (AUTHOR) 1872371250@qq.com
Source: Computers & Mathematics with Applications. Aug2026, Vol. 216, p129-146. 18p.
Subjects: Finite element method, Reactive flow, Acidity, Porosity, Carbonate reservoirs, Computer simulation, Petroleum reservoirs
Abstract: The acid treatment of carbonate reservoirs is a widely adopted technique for enhancing the productivity of oil and gas reservoirs. In this paper, we propose a novel hybridized mixed discontinuous Galerkin (HMDG) finite element method to simulate the dissolution process near the wellbore, commonly referred to as the wormhole phenomenon. The key contributions of this work include the application of hybridization techniques to both pressure and concentration equations, the use of an upwind scheme for convection-dominant case, and the introduction of a "cut-off" operator to ensure porosity boundedness. Compared with traditional discontinuous Galerkin methods, the proposed approach yields a global system with fewer unknowns, significantly reducing computational costs. We rigorously analyze the existence and uniqueness of the solution for the new method and derive optimal error estimates using the developed framework. Numerical examples are provided to validate the theoretical findings. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Label: Title
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  Data: Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Jiansong%22">Zhang, Jiansong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jzhang@upc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhu%2C+Jiang%22">Zhu, Jiang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jiang@lncc.br</i><br /><searchLink fieldCode="AR" term="%22Guo%2C+Hui%22">Guo, Hui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sdugh@163.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yiming%22">Wang, Yiming</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 1164324059@qq.com</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Yanyu%22">Liu, Yanyu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 1872371250@qq.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Aug2026, Vol. 216, p129-146. 18p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Reactive+flow%22">Reactive flow</searchLink><br /><searchLink fieldCode="DE" term="%22Acidity%22">Acidity</searchLink><br /><searchLink fieldCode="DE" term="%22Porosity%22">Porosity</searchLink><br /><searchLink fieldCode="DE" term="%22Carbonate+reservoirs%22">Carbonate reservoirs</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Petroleum+reservoirs%22">Petroleum reservoirs</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The acid treatment of carbonate reservoirs is a widely adopted technique for enhancing the productivity of oil and gas reservoirs. In this paper, we propose a novel hybridized mixed discontinuous Galerkin (HMDG) finite element method to simulate the dissolution process near the wellbore, commonly referred to as the wormhole phenomenon. The key contributions of this work include the application of hybridization techniques to both pressure and concentration equations, the use of an upwind scheme for convection-dominant case, and the introduction of a "cut-off" operator to ensure porosity boundedness. Compared with traditional discontinuous Galerkin methods, the proposed approach yields a global system with fewer unknowns, significantly reducing computational costs. We rigorously analyze the existence and uniqueness of the solution for the new method and derive optimal error estimates using the developed framework. Numerical examples are provided to validate the theoretical findings. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.camwa.2026.05.013
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 129
    Subjects:
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Reactive flow
        Type: general
      – SubjectFull: Acidity
        Type: general
      – SubjectFull: Porosity
        Type: general
      – SubjectFull: Carbonate reservoirs
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Petroleum reservoirs
        Type: general
    Titles:
      – TitleFull: Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Zhang, Jiansong
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            NameFull: Zhu, Jiang
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            NameFull: Guo, Hui
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            NameFull: Wang, Yiming
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            NameFull: Liu, Yanyu
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            – D: 15
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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              Value: 216
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            – TitleFull: Computers & Mathematics with Applications
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