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Article Dans Une Revue Computational Geosciences Année : 2020

Numerical scheme for a water flow-driven forward stratigraphic model

Didier Granjeon
Sylvie Wolf
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Résumé

This paper is concerned with extending the stratigraphic model previously introduced by Eymard et al. [Int. J. Numer. Methods Engrg. 60, 527-548 (2004)] and subsequently studied by Gervais and her coauthors for the simulation of large scale transport processes of sediments, subject to an erosion constraint. Two major novelties are considered: (i) the diffusion law relating the flux of sediments and the slope of the topography is now nonlinear and involves a p-Laplacian with p > 2 in order for landscape evolutions to be more realistic; (ii) the sediment transport is now intertwined with the water flows due to lakes and rivers via a direct coupling at the continuous PDE level, which avoids empirical algorithms at the discrete level such as MFD (Multiple Flow Directions) at the price of additional p-Laplacians. Aimed at enriching the capabilities of IFPEN's simulator, these sophistications entail the construction of a new finite volume scheme, the details of which are supplied. The physical model is validated through several test cases. Finally, a further extension of the model to the case of multiple lithologies is presented, along with numerical results.
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Dates et versions

hal-01870347 , version 1 (07-09-2018)
hal-01870347 , version 2 (22-06-2020)

Identifiants

Citer

Clément Cancès, Didier Granjeon, Quang-Huy Tran, Sylvie Wolf, Nicolas Peton. Numerical scheme for a water flow-driven forward stratigraphic model. Computational Geosciences, 2020, 24, pp.37-60. ⟨10.1007/s10596-019-09893-w⟩. ⟨hal-01870347v2⟩
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