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

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Bibliographic Details
Title: Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method
Authors: Maryam Atta, Sardar Muhammad Hussain, Farooq Hussain, Hasrat Hussain Shah, Hassan Shah, Jong-Suk Ro
Source: Fractal and Fractional, Vol 6, Iss 573, p 573 (2022)
Publisher Information: MDPI AG
Publication Year: 2022
Collection: Directory of Open Access Journals: DOAJ Articles
Subject Terms: fracture, porous media, matrix method, analytic element method, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433
Description: 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.
Document Type: article in journal/newspaper
Language: 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
Availability: https://doi.org/10.3390/fractalfract6100573
https://doaj.org/article/3d3da9eaf79248d38d26900abfcea15b
Accession Number: edsbas.DFF53A1F
Database: BASE
Description
Abstract: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.
DOI:10.3390/fractalfract6100573