New approach to the simulation of flows in highly heterogeneous porous media
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A numerical methodology for the analysis of flows in heterogeneous porous media is presented. Simple cases of miscible displacement are simulated to investigate the influence of the local heterogeneities on the flow paths. The numerical scheme here developed allows for a fine degree of description of the flowing medium. If the size of the area of interest is a square of a thousand feet per side, geological information on the porous medium can be incorporated to a length scale of about one to two feet. The technique, Operator Splitting on Multiple Grids, solves the elliptic pressure equation by a higher order finite element technique on a coarse grid. This approach has proved not only efficient but also extremely accurate in that it yields the righ pressure solution for a variety of model heterogeneities. Three test cases are simulated: a case of constant permeability, a case of permeability bands of a 100:1 ratio and a case of real field permeability data with permeability variations of over two orders of magnitude.
author list (cited authors)
Rame, M., & Killough, J. E.