Toward reservoir simulation on geological grid models

We present a reservoir simulation scheme that gives accurate resolution of both large-scale and fine-scale flow patterns. The method uses a mixed multiscale finite-element method (MMsFEM) to solve the pressure equation on a coarse grid and a streamline-based technique to solve the fluid transport on a fine-scale subgrid. Through this combination, we aim towards a numerical scheme that facilitates reservoir simulation of large heterogeneous geomodels without upscaling. We validate the method by applying it to a 3D upscaling benchmark case taken from the 10th SPE Comparative Solution Project. The numerical results demonstrate that the combination of multiscale methods and streamlines is a robust and viable alternative to traditional upscaling-based reservoir simulation.