Skip to Main content Skip to Navigation
Theses

Apport de l'équation de Brinkman à la modélisation de l'écoulement d'eau et du transport de soluté dans l'aquifère karstique: application au système karstique du Val d'Orléans

Abstract : The karst aquifers are characterized by a fast flow in the karstic conduits and a slow flow in the matrix. Because of this fast flow, these aquifers are strongly vulnerable to pollution. The main aim of this thesis is to evaluate the importance of water exchanges at the interface between the conduits and the matrix and by consequence the impact of these exchanges on the solute transport in the karst system. To investigate the contribution of the Brinkman equation to the evaluation of the water flows, a model whose geometry of the conduit is described by the sine function was established. Two scenarii are applied. Scenario A employs Darcy's law in the conduit and the matrix. The scenario B employs the Brinkman equation and Darcy's law in the conduit and the matrix, respectively. The additional term of the Brinkman equation describing the shear stress plays a predominant role on the water exchange between the conduit and the matrix when the conduits are sinuous. The hydrodynamic - transport model was applied to the karst system of the Val d'Orléans. The calibration showed that the best average diameter of the conduit is of 5 m, the permeability in the hosted rock is of 5.7×10-10 m2 and that of the conduit of 1.65×10-5 m2 to 5.5×10-5 m2. The results of the hydrodynamic - transport model were compared to floods of the Loire observed in the years 1992 and 1993 during which the chloride concentrations (tracer conservative naturalness) were proportioned in the Loire and Bouillon Spring. With a storage coefficient in the matrix 0.9 m-1, the distance penetrated by the water in the matrix is approximately 530 m in two months for a rising of 2 meters (example of 1993).
Document type :
Theses
Complete list of metadatas

Cited literature [283 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00417805
Contributor : Nathalie Pothier <>
Submitted on : Thursday, September 17, 2009 - 8:39:04 AM
Last modification on : Wednesday, September 25, 2019 - 2:56:01 PM
Long-term archiving on: : Tuesday, June 15, 2010 - 10:02:09 PM

Identifiers

  • HAL Id : tel-00417805, version 1

Citation

Ali Salim Joodi. Apport de l'équation de Brinkman à la modélisation de l'écoulement d'eau et du transport de soluté dans l'aquifère karstique: application au système karstique du Val d'Orléans. Hydrologie. Université d'Orléans, 2009. Français. ⟨tel-00417805⟩

Share

Metrics

Record views

1230

Files downloads

2808