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...

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Bibliographic Details
Published inE3S Web of Conferences Vol. 314; p. 4007
Main Authors El Mezouary, Lhoussaine, El Mansouri, Bouabid
Format Journal Article Conference Proceeding
LanguageEnglish
Published Les Ulis EDP Sciences 2021
Subjects
Aquifers
Derivation
Flow equations
Fluid flow
Groundwater
Groundwater flow
Heat transfer
Partial differential equations
Porous media
Water flow
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Summary: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.
ISSN:2267-1242
2555-0403
2267-1242
DOI:10.1051/e3sconf/202131404007