Numerical simulation of a stratigraphic model at geological time scales

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Niveau: Secondaire, Lycée, Terminale
Numeri al Simulation of a Stratigraphi Model Veronique Gervais and Roland Masson Institut Fran ais du Petrole 1 et 4 av. de Bois Preau 92852 Rueil Malmaison Cedex, Fran e. email : roland.massonifp.fr Abstra t. A multi-lithology diusive stratigraphi model is onsidered whi h simu- lates at large s ales in spa e and time the inll of sedimentary basins governed by the intera tion between te toni s displa ements, eustati s variations, sediments supply and sediments transport laws. The model a ounts for the mass onservation of ea h sediment lithology resulting in a mixed paraboli , hyperboli system of PDEs for the lithology on entrations and the sediments thi kness. It also takes into a ount a limit on the ro k alteration velo ity modelled as a unilaterality onstraint. To obtain a robust, fast and a urate simulation, fully and semi-impli it nite volume dis retization s hemes are derived for whi h the existen e of stable solutions is proved. Then, the set of nonlinear equations is solved using a Newton algorithm adapted to the unilaterality onstraint, and pre onditioning strategies are dened for the solution of the linear system at ea h Newton iteration. They are based on an algebrai approximate de oupling of the sediments thi kness and the on entrations variables as well as on a proper pre onditioning of ea h variable.

  • sediments

  • exists many

  • single lithology

  • fun tion

  • stratigraphi model

  • velo ity

  • pre onditioning methods


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