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Numerical scheme for a water flow-driven forward stratigraphic model

Computational geosciences, 2020-02, Vol.24 (1), p.37-60 [Peer Reviewed Journal]

Springer Nature Switzerland AG 2019 ;Computational Geosciences is a copyright of Springer, (2019). All Rights Reserved. ;Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 1420-0597 ;EISSN: 1573-1499 ;DOI: 10.1007/s10596-019-09893-w

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Title:
Numerical scheme for a water flow-driven forward stratigraphic model
Author: Peton, Nicolas ; Cancès, Clément ; Granjeon, Didier ; Tran, Quang-Huy ; Wolf, Sylvie
Subjects: Algorithms ; Computer simulation ; Consumer goods ; Earth and Environmental Science ; Earth Sciences ; Finite volume method ; Geotechnical Engineering & Applied Earth Sciences ; Hydrogeology ; Lakes ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Mathematics ; Numerical Analysis ; Original Paper ; Rivers ; Sciences of the Universe ; Sediment ; Sediment transport ; Sediments ; Simulators ; Soil Science & Conservation ; Stratigraphy ; Transport processes ; Water flow
Is Part Of: Computational geosciences, 2020-02, Vol.24 (1), p.37-60
Description: This paper is concerned with extending the stratigraphic model previously introduced by Eymard et al. (Int. J. Numer. Methods Eng. 60(2):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.
Publisher: Cham: Springer International Publishing
Language: English
Identifier: ISSN: 1420-0597
EISSN: 1573-1499
DOI: 10.1007/s10596-019-09893-w
Source: Hyper Article en Ligne (HAL) (Open Access)
ProQuest Central

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Numerical scheme for a water flow-driven forward stratigraphic model

Springer Nature Switzerland AG 2019 ;Computational Geosciences is a copyright of Springer, (2019). All Rights Reserved. ;Distributed under a Creative Commons Attribution 4.0 International License ;ISSN: 1420-0597 ;EISSN: 1573-1499 ;DOI: 10.1007/s10596-019-09893-w

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