The Relationship between the Darcy and Poiseuille Laws
Francesco Fiorillo, Libera Esposito, Guido Leone, Mauro Pagnozzi
Abstract
The Poiseuille and Darcy laws describe the velocity of groundwater flow under laminar conditions. These laws were deducted empirically in conduit and porous systems, respectively, and are widely used to model the groundwater flow. The analytical relationship between these hydraulic laws has been found by draining a tank-reservoir. Based on equations found, the discharge in a conduit under the Poiseuille law can be transformed in the same amount flowing inside a darcian system, and vice versa. This transformation occurs, for example, in karst aquifers, from the matrix to karst conduits during discharge phases, and from conduits to matrix during recharge phases.
Topics & Concepts
Hagen–Poiseuille equationElectrical conduitLaminar flowDarcy's lawAquiferKarstGeologyGroundwaterGroundwater rechargeMechanicsFlow (mathematics)Matrix (chemical analysis)Groundwater flowArtesian aquiferGeotechnical engineeringLawPorous mediumHydrology (agriculture)PorosityMaterials sciencePhysicsEngineeringComposite materialPaleontologyPolitical scienceMechanical engineeringKarst Systems and HydrogeologyGroundwater flow and contamination studiesGroundwater and Watershed Analysis