Sammendrag
The poster presents an overview of the multiscale mixed finite-element method (MsMFEM). The basic idea is to use a mixed finite-element method on a coarse scale with special basis that satisfy local flow problems and thereby account for subgrid variations. This way, an approximate fine-scale solution is constructed at the cost of solving a coarse-scale problem. MsMFEM is formulated using two grids, a fine underlying grid on which the media properties are given, and a coarse simulation grid where each block can consists of an arbitrary connected collection of cells from the fine grid. In this sense, the method is very flexible and can be applied to almost any grid, structured or unstructured, and can easily be built on-top-of existing pressure solvers. MsMFEM offers fast, accurate, and robust pressure solvers for highly heterogeneous porous media. We discuss efficency and present several examples of its usage: Direct simulation of high-fidelity models of fracture corridors Optimization of net-present value for an industry-standard model from the Norwegian Sea A strongly compressible injection case Primary production in a SAIGUP