Numerical scheme for a water flow-driven forward stratigraphic model

Cancès, Clément; Granjeon, Didier; Tran, Quang-Huy; Wolf, Sylvie; Peton, Nicolas

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10596-019-09893-w

Title :

Numerical scheme for a water flow-driven forward stratigraphic model

Author(s) :

Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Granjeon, Didier [Auteur]
IFP Energies nouvelles [IFPEN]
Tran, Quang-Huy [Auteur]
IFP Energies nouvelles [IFPEN]
Wolf, Sylvie [Auteur]
IFP Energies nouvelles [IFPEN]
Peton, Nicolas [Auteur]
IFP Energies nouvelles [IFPEN]

Journal title :

Computational Geosciences

Pages :

37-60

Publisher :

Springer Verlag

Publication date :

2020

ISSN :

1420-0597

English keyword(s) :

weather-limited erosion
stratigraphic forward modeling
p-Laplacian
complementarity problem

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Planète et Univers [physics]/Sciences de la Terre/Stratigraphie

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

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