Groundwater flow equation, overview, derivation, and solution
Darcy’s law is the basic law of flow, and it produces a partial differential equation is similar to the heat transfer equation when coupled with an equation of continuity that explains the conservation of fluid mass during flow through a porous media. This article, titled the groundwater flow equati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/90/e3sconf_wmad2021_04007.pdf |
| _version_ | 1818429097142910976 |
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| author | El Mezouary Lhoussaine El Mansouri Bouabid |
| author_facet | El Mezouary Lhoussaine El Mansouri Bouabid |
| author_sort | El Mezouary Lhoussaine |
| collection | DOAJ |
| description | Darcy’s law is the basic law of flow, and it produces a partial differential equation is similar to the heat transfer equation when coupled with an equation of continuity that explains the conservation of fluid mass during flow through a porous media. This article, titled the groundwater flow equation, covers the derivation of the groundwater flow equations in both the steady and transient states. We look at some of the most common approaches and methods for developing analytical or numerical solutions. The flaws and limits of these solutions in reproducing the behavior of water flow on the aquifer are also discussed in the article. |
| first_indexed | 2024-12-14T15:12:06Z |
| format | Article |
| id | doaj.art-491b7595d0564552812681ed0b960091 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-14T15:12:06Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-491b7595d0564552812681ed0b9600912022-12-21T22:56:30ZengEDP SciencesE3S Web of Conferences2267-12422021-01-013140400710.1051/e3sconf/202131404007e3sconf_wmad2021_04007Groundwater flow equation, overview, derivation, and solutionEl Mezouary Lhoussaine0El Mansouri Bouabid1Laboratories of mathematical and analysis, noncommutative geometry and applications, Faculty of Science, Ibn Tofail University, Campus MaamoraLaboratory of hydroinformatics, Faculty of Sciences, University Ibn Tofail, Campus MaamoraDarcy’s law is the basic law of flow, and it produces a partial differential equation is similar to the heat transfer equation when coupled with an equation of continuity that explains the conservation of fluid mass during flow through a porous media. This article, titled the groundwater flow equation, covers the derivation of the groundwater flow equations in both the steady and transient states. We look at some of the most common approaches and methods for developing analytical or numerical solutions. The flaws and limits of these solutions in reproducing the behavior of water flow on the aquifer are also discussed in the article.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/90/e3sconf_wmad2021_04007.pdf |
| spellingShingle | El Mezouary Lhoussaine El Mansouri Bouabid Groundwater flow equation, overview, derivation, and solution E3S Web of Conferences |
| title | Groundwater flow equation, overview, derivation, and solution |
| title_full | Groundwater flow equation, overview, derivation, and solution |
| title_fullStr | Groundwater flow equation, overview, derivation, and solution |
| title_full_unstemmed | Groundwater flow equation, overview, derivation, and solution |
| title_short | Groundwater flow equation, overview, derivation, and solution |
| title_sort | groundwater flow equation overview derivation and solution |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/90/e3sconf_wmad2021_04007.pdf |
| work_keys_str_mv | AT elmezouarylhoussaine groundwaterflowequationoverviewderivationandsolution AT elmansouribouabid groundwaterflowequationoverviewderivationandsolution |