Weill, Sylvain (2007) Modélisation des échanges surface/subsurface à l'échelle de la parcelle par une approche darcéenne multidomaine. PhD thesis Hydrologie et Hydrogéologie Quantitatives, GEOSC- Centre de Géosciences, ENSMP p.160.

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Abstract

This study deals with physically based distributed modelling of surface/subsurface

interactions. A new modelling approach, called Darcy multidomain approach, is presented. Richards

and diffusive wave equations are used to describe respectively infiltration and runoff processes.

Diffusive wave equation is turned into a nonlinear diffusion equation, that looks like Richards one.

Overland flow is then assimilated as a flow in porous medium that has particular properties. A porous

layer, called runoff layer, is introduced in the computational domain. The whole surface/subsurface

dynamics is then described in a Darcy continuum by a single nonlinear Darcy equation with domain

dependent parameters. It allows to impose an hydraulic continuity between surface and subsurface

waters. The model is evaluated from classical test cases of the literature. A sensibility analysis and a

detailed study of Hortonian runoff are then presented. Finally, the plot scale experiment realised by

IRD in Thies, Senegal is reproduced. Results are satisfying and show that the developed modelling

approach allow to reproduce the strongly coupled dynamics of small scale hydrological systems.

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