Abstract
This paper describes a new upscaling algorithm, which combines the key aspects of nonuniform coarsening methods and renormalization based multiphase methods. The algorithm is applied to a range of heterogeneous, two dimensional geological descriptions. Extensive simulation results indicate that the new algorithm is able to provide results on highly coarsened grids ((5 x 5)) that are in close agreement with fine grid ((100 x 100)) simulations, at least for the set of problems considered. This very large degree of coarsening is more than an order of magnitude greater than could be achieved with either of the original methods individually, as currently implemented. For the set of problems considered, the algorithm is unbiased and consistent, even at very large levels of scale up.
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Wallstrom, T.C., Hou, S., Christie, M.A. et al. Accurate scale up of two phase flow using renormalization and nonuniform coarsening. Computational Geosciences 3, 69–87 (1999). https://doi.org/10.1023/A:1011570724061
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DOI: https://doi.org/10.1023/A:1011570724061