Abstract

We investigate a new model for fluid flows in diatomite formations recently introduced by Barenblatt, Patzek, Prostokishin and Silin. We provide numerical evidences of the existence of a sharp front between the damaged and the undamaged rock, and we study the structure of this front. Finally, we simulate some infield operations and we set up a qualitative model control problem to maximize the profit during the oil extraction.

Keywords

flow in porous media, oil engineering, continuum damage mechanics, degenerate parabolic system

Mathematical Subject Classification

Primary: 76S05

Secondary: 74A45, 35K65

Authors