METHOD OF UPSCALING PERMEABILITY FOR UNSTRUCTURED GRIDS

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, Vorono i, computational grid is generated using the coarse-scale grid as the genesis o f 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 int er- 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 upscale d permeabilities associated with the coarse-scale grid.