Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method

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Titel: Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method
Autoren: Maryam Atta, Sardar Muhammad Hussain, Farooq Hussain, Hasrat Hussain Shah, Hassan Shah, Jong-Suk Ro
Quelle: Fractal and Fractional, Vol 6, Iss 573, p 573 (2022)
Verlagsinformationen: MDPI AG
Publikationsjahr: 2022
Bestand: Directory of Open Access Journals: DOAJ Articles
Schlagwörter: fracture, porous media, matrix method, analytic element method, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433
Beschreibung: The work presented in this article is composed of 2-dimensional groundwater flow simulations for fractured porous media with different aperture of fractures by using the Analytic Element Method. In order to investigate the flow behavior and its effect on fractures, we considered different systems of fractures with varying apertures, hydraulic conductivities and orientations in the presence of uniform flow field and a well. We also introduced the matrix method to solve the problems for which the unknown coefficients are obtained from the discharge potential of all the elements present in the systems. The numerical solution of the prescribed problem is based on a series expansion, while the influence of each fracture is expressed in a series that satisfy Laplace’s equation.
Publikationsart: article in journal/newspaper
Sprache: English
Relation: https://www.mdpi.com/2504-3110/6/10/573; https://doaj.org/toc/2504-3110; https://doaj.org/article/3d3da9eaf79248d38d26900abfcea15b
DOI: 10.3390/fractalfract6100573
Verfügbarkeit: https://doi.org/10.3390/fractalfract6100573
https://doaj.org/article/3d3da9eaf79248d38d26900abfcea15b
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Items – Name: Title
  Label: Title
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  Data: Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Maryam+Atta%22">Maryam Atta</searchLink><br /><searchLink fieldCode="AR" term="%22Sardar+Muhammad+Hussain%22">Sardar Muhammad Hussain</searchLink><br /><searchLink fieldCode="AR" term="%22Farooq+Hussain%22">Farooq Hussain</searchLink><br /><searchLink fieldCode="AR" term="%22Hasrat+Hussain+Shah%22">Hasrat Hussain Shah</searchLink><br /><searchLink fieldCode="AR" term="%22Hassan+Shah%22">Hassan Shah</searchLink><br /><searchLink fieldCode="AR" term="%22Jong-Suk+Ro%22">Jong-Suk Ro</searchLink>
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  Data: Fractal and Fractional, Vol 6, Iss 573, p 573 (2022)
– Name: Publisher
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  Data: MDPI AG
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2022
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  Label: Collection
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  Data: Directory of Open Access Journals: DOAJ Articles
– Name: Subject
  Label: Subject Terms
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  Data: <searchLink fieldCode="DE" term="%22fracture%22">fracture</searchLink><br /><searchLink fieldCode="DE" term="%22porous+media%22">porous media</searchLink><br /><searchLink fieldCode="DE" term="%22matrix+method%22">matrix method</searchLink><br /><searchLink fieldCode="DE" term="%22analytic+element+method%22">analytic element method</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22QC310%2E15-319%22">QC310.15-319</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink><br /><searchLink fieldCode="DE" term="%22Analysis%22">Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22QA299%2E6-433%22">QA299.6-433</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The work presented in this article is composed of 2-dimensional groundwater flow simulations for fractured porous media with different aperture of fractures by using the Analytic Element Method. In order to investigate the flow behavior and its effect on fractures, we considered different systems of fractures with varying apertures, hydraulic conductivities and orientations in the presence of uniform flow field and a well. We also introduced the matrix method to solve the problems for which the unknown coefficients are obtained from the discharge potential of all the elements present in the systems. The numerical solution of the prescribed problem is based on a series expansion, while the influence of each fracture is expressed in a series that satisfy Laplace’s equation.
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  Data: article in journal/newspaper
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  Data: English
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  Data: https://www.mdpi.com/2504-3110/6/10/573; https://doaj.org/toc/2504-3110; https://doaj.org/article/3d3da9eaf79248d38d26900abfcea15b
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.3390/fractalfract6100573
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  Data: https://doi.org/10.3390/fractalfract6100573<br />https://doaj.org/article/3d3da9eaf79248d38d26900abfcea15b
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        Value: 10.3390/fractalfract6100573
    Languages:
      – Text: English
    Subjects:
      – SubjectFull: fracture
        Type: general
      – SubjectFull: porous media
        Type: general
      – SubjectFull: matrix method
        Type: general
      – SubjectFull: analytic element method
        Type: general
      – SubjectFull: Thermodynamics
        Type: general
      – SubjectFull: QC310.15-319
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      – SubjectFull: QA299.6-433
        Type: general
    Titles:
      – TitleFull: Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method
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            NameFull: Maryam Atta
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            NameFull: Hassan Shah
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            NameFull: Jong-Suk Ro
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              Y: 2022
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          Titles:
            – TitleFull: Fractal and Fractional, Vol 6, Iss 573, p 573 (2022
              Type: main
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