Abstract
SINTEF S317Abstract. During the last decade, several multiscale methods that provide high resolution velocity fields at low computational cost have been applied to porous media flow problems. However, to achieve enhanced accuracy in flow simulations, the numerical scheme for modeling the transport must account for the fine scale structures in the velocity field. In this paper we propose a multiscale method for solving transport equations. In this method the global flow is computed on a coarse grid scale, but information from a fine scale velocity field is used to improve accuracy. The method is applied to incompressible and immiscible two-phase flow on a synthetic geological model with corner-point grid geometry. Although corner-point grids are given on a logically Cartesian format, the resulting grids are essentially unstructured. The numerical results demonstrate that the multiscale method gives nearly the same flow characteristics as simulations where the transport equation is solved on the scale of an underlying fine grid.