Upscaling is often applied to generate practical simulation models from highly detailed geocellular descriptions. In this paper we develop and evaluate a new upscaling procedure – a variable compact multipoint adaptive local-global technique (VCMP-ALG) – that is able to capture, accurately and efficiently, both full-tensor and global flow effects in the coarse model. The method successfully combines the positive attributes of its two underlying component procedures: the variable compact multipoint (VCMP) flux scheme, which provides coarse-scale transmissibilities that are appropriate for use in problems characterized by strong full-tensor permeabilities, and adaptive local-global (ALG) upscaling, which accounts for the effects of large-scale flow in the upscaling computations without solving any global fine-scale flow problems. The performance of the local-global VCMP upscaling technique is evaluated for multiple realizations of oriented variogram-based models and synthetic deltaic systems. Extensive numerical results for 2D cases demonstrate that the VCMP-ALG approach provides better overall accuracy than either of the underlying methods – an extended local VCMP technique and an adaptive local-global procedure based on two-point flux approximations – applied individually. The extension of the VCMP-ALG method to irregular quadrilateral grids is also accomplished. Finally, we present results for two-phase oil-water flows, for which the models based on the VCMP-ALG method again provide the best overall accuracy.

You can access this article if you purchase or spend a download.