O problema de Riemann para um modelo de injeção de polímero.

Abstract

We present the detailed construction of the Riemann problem solution associate to a system of conservation laws of a non−strictly hyperbolic problem, from mathematical modeling of a one-dimensional two-flow in a porous medium filled by oil and water with dissolved polymer, for arbitrary initial data in the state space. The construction of the system solution is based on the solution Buckley−Leverett equation for each level constant polymer concentration and on the integral curves of a linearly degenerated field characteristic that gives rise to the so-called contact waves.