Cristin-resultat-ID: 1271564
Sist endret: 24. september 2015, 19:56
Vitenskapelig foredrag

Model Reduction via Multiscale Methods: Application to Water Flooding Optimization

  • Stein Krogstad


Navn på arrangementet: SIAM Conference on Mathematical & Computational Issues in the Geosciences
Sted: Leipzig, Germany
Dato fra: 15. juni 2009
Dato til: 18. juni 2009


Arrangørnavn: SIAM

Om resultatet

Vitenskapelig foredrag
Publiseringsår: 2009



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Model Reduction via Multiscale Methods: Application to Water Flooding Optimization


We develop an adjoint model for a simulator consisting of a multiscale pressure solver and a saturation solver that works on flow adapted grids. The multiscale method solves the pressure on a coarse grid that is close to uniform in index space and incorporates fine-grid effects through numerically computed basis functions. The transport solver works on a coarse grid adapted by a fine-grid velocity field obtained by the multiscale solver. Both the multiscale solver for pressure and the flow-based coarsening approach for transport have earlier shown the ability to produce accurate results for high degree of coarsening. We present results for a complex realistic model to demonstrate that control settings based on optimization of our multiscale flow-based model closely matches or even outperforms those found by using a fine-grid model. For additional speed-up, we develop mappings used for rapid system updates during the time-stepping procedure. As a result, no fine-grid quantities are required during simulations and all fine grid computations (multiscale basis functions, generation of coarse transport grid and coarse mappings) become a preprocessing step. The combined methodology enables optimization of water flooding on a complex model with 45,000 grid-cells in a few minutes.


Stein Krogstad

  • Tilknyttet:
    ved Mathematics and Cybernetics ved SINTEF AS
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