Method of upscaling permeability for unstructured grids

G - Physics – 06 – F

Patent

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Details

IPC codes

G06F 17/11 (2006.01) G01N 15/08 (2006.01) G01V 9/00 (2006.01) E21B 49/00 (2006.01)

Type

Patent

Patent number

CA 2375506

Description

A method is provided for scaling up permeabilities associated with a fine- scale grid of cells representative of a porous medium (fig.1) to permeabilities associated with an unstructured coarse-scale grid of cells representative of the porous medium (fig.3). An areally unstructured, Voronoi, computational grid is generated using the coarse-scale grid as the genesis of the computational grid. The computational grid is then populated with permeabilities associated with the fine-scale grid. Flow equations are developed for the computational grid, the flow equations are solved, and inter- node fluxes and pressure gradients are then computed for the computational grid. These inter-node fluxes and pressure gradients are used to calculate inter-node average fluxes and average pressure gradients associated with the coarse-scale grid. The inter-node average fluxes and average pressure gradients associated with the coarse grid are then used to calculate upscaled permeabilities associated with the coarse-scale grid.

L'invention concerne un procédé permettant d'augmenter des perméabilités associées à un maillage à petite échelle de cellules représentatives d'un milieu poreux (fig. 1) jusqu'à obtenir des perméabilités associées à un maillage à échelle grossière non structuré de cellules représentatives dudit milieu poreux (fig.3). Une grille informatique de Voronoi, non structurée en superficie, est générée à l'aide d'un maillage à échelle grossière, celui-ci représentant la genèse de ladite grille informatique. Cette grille informatique est ensuite peuplée de perméabilités associées au maillage à petite échelle. On développe des équations d'écoulement pour ladite grille informatique, on les résout, puis on calcule des flux inter-noeuds et des gradients de pression pour cette grille informatique. On utilise ces flux inter-noeuds et ces gradients de pression pour calculer des flux inter-noeuds moyens et des gradients de pression moyens associés au maillage à échelle grossière. On utilise ensuite les flux inter-noeuds moyens et les gradients de pression moyens associés au maillage grossier pour calculer des perméabilités à augmentation scalaire associées au maillage à échelle grossière.

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