O problema de Riemann para um modelo de injeção de polímero em meio poroso com efeito de adsorção.

Abstract

In this work we consider a system of conservation laws from the mathematical modeling of a one-dimensional two-phase flow in porous media, filled with oil and water with dissolved polymer in it and taking into account the adsorption of part of the polymer by the rock. Using the wave curves technique, we present a detailed construction of the Riemann problem solution for arbitrary initial data on the state space. We use the entropy condition of the viscous pro le for the shock waves with jumps in the polymer concentration and Oleynik-Liu condition for the shocks with constant concentration of polymer and jumps on the water saturation.