Abstract (EN)

This paper describes a finite element simulator for incompressible two-phase flow. This simulator is based on numerical techniques which are novel to the field of reservoir simulation. It uses irregular meshes, discontinuous high-order finite elements for the approximation of saturations (including Riemann solvers and slope limiters), and the mixed-hybrid formulation of mixed finite elements for an efficient and precise approximation of pressures and velocities. Each injection or production well is simulated by a few one-dimensional implicit models arranged to form a macroelement. This simulator is able to handle gravity, capillary pressures, porosity and permeability (both absolute and relative), and heterogeneity. Numerical results are shown which illustrate the capabilities of the code.