PhD Position F/M Modeling of groundwater-river exchanges for climate change predictions
il y a 4 semaines
Contexte et atouts du poste
This project is a collaboration with the inria CARDAMOM team and the I2M fluid mechanics laboratory, and is co-financed with the CNRS IMPT program (Institut de Mathématique pour la Planète Terre). Funding already secured.
The aim is to model all hydraulic processes, both surface and subsurface, on a catchment scale and for periods of several decades. This modeling is essential to produce numerical calculation tools that can be used for regional forecasts in a context of climate change, in particular for water resource and morphodynamic issues. It is mainly based on vertically-integrated models, typically the Saint-Venant and Dupuit-Forchheimer equations. This type of model does not easily take into account infiltration processes. The problem of infiltration into the unsaturated zone, known as the vadose zone, seems to be the most critical to the relevance of predictions. This is at the heart of the thesis project. A well adapted modeling and numerical method will be proposed.
To encourage exchanges with IFPEN and BRGM, missions to Orléans andparis will be organized on a regular basis, with remineration in the line with the current salary scales.
Mission confiée
Assignments:
With the help of Martin Parisot (inria Cardamom) and Mathieu Coquerelle (I2M), the person recruited will derive a vertical infiltration model and coupling with a Saint-Venant-type surface model and a Dupuit-Forchheimer-type groundwater model based on a reduction of the Richards model. An analysis of the model's properties will be carried out and a numerical strategy preserving these properties will be proposed. Particular attention will be paid to methods with no time step limitation, in order to be able to simulate several years of physical time.
For a better knowledge of the proposed research subject:
[1] BULTEAU, S., BADSI, M., BERTHON, C., AND BESSEMOULIN-CHATARD, M. A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with a generalized manning friction source term. Calcolo 58, 4 (Sep 2021), 41.
[2] CARREAU M. AND PARISOT M. A unified modeling of underground-surface hydraulic processes: case of the saturated regions. Work in progress.
[3] ERSOYM.,LAKKISO.ANDTOWNSENDP..ASaint-VenantModelforOverlandFlowswithPrecipitationandRecharge. Math. and Comput. Appl., 2021.
Collaboration:
The person recruited will liaise with Mathieu Coquerelle of I2M to understand the physical processes involved. Discussions with Léo Agelas, Benoit Chauveau and Arnaud Pujol from IFPEN will also be organized.
Principales activités
Main activities:
Derive a vertical infiltration model for the unsaturated zone Coupled the model with the saturated zone at the bottom of the aquifer and with surface runoff Propose an efficient numerical scheme (without time step restrictions) Perform simulations at regional scales and compare with existing models write publications on the results obtained. Disseminate the results obtained at national and international conferences.
Compétences
Technical skills and level required : PhD in earth sciences or applied mathematics. Taste for environmental problems, mathematical formalism and numerical simulations.
Language: English
Avantages
Subsidized meals Partial reimbursement of public transport costs Possibility of teleworking and flexible organization of working hours Professional equipment available (videoconferencing, loan of computer equipment, etc.) Social, cultural and sports events and activities Access to vocational training Social security coverage
Rémunération
2100€ / month (before taxs) during the first 2 years, 2190€ / month (before taxs) during the third year.-
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