Génération de grilles de type volumes finis : adaptation à un modèle structural, pétrophysique et dynamique

Abstract : Voronoi grids are generated under constraints to reduce the errors due to cells geometry during flow simulation in reservoirs. The Voronoi points are optimized by minimizing objective functions relevant to various geometrical constraints. An original feature of this approach is to combine simultaneously the constraints: - Cell quality, by placing the Voronoi points at the cell barycenters. - Local refinement according to a density field rho, relevant to permeability, velocity or vorticity. - Cell anisotropy according to a matrix field M built with the three principal vectors of the anisotropy, which one is defined by the velocity vector or by the stratigraphic gradient. - Faces orientation according to a matrix field M built with the three vectors orthogonal to the faces, which one is defined by the velocity vector. - Conformity to structural features, faults and horizons. - Voronoï points alignment along well path. The quality of the generated grids is assessed from geometrical criteria and from comparisons of flow simulation results with reference fine grids. Results show geometrical improvements, that are not necessarily followed by flow simulation results improvements
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Romain Merland. Génération de grilles de type volumes finis : adaptation à un modèle structural, pétrophysique et dynamique. Mathématiques générales [math.GM]. Université de Lorraine, 2013. Français. ⟨NNT : 2013LORR0037⟩. ⟨tel-01749569⟩

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