Numerical analysis of a stabilized finite element method for tracer injection simulations Original Research Article

To solve a system of partial differential equations that models tracer injection processes in oil reservoirs we use a post-processing technique to compute an accurate approximation for the velocity field and a stabilized finite element method (SUPG) for the spatial approximation of the tracer concentration combined with a backward finite difference discretization in time. Stability, convergence and error estimates are achieved. Numerical results for homogeneous and heterogeneous media are presented illustrating the performance of the proposed methodology.