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We will derive two-scale models for two-phase flow in porous media, with the microscale given by the porescale. The resulting system will account for balance of mass, momentum and energy. To this aim, we will combine a generalization of Rajagopal's and Srinivasa's assumption of maximum rate of entropy production [39, 20, 21] with formal asymptotic expansion. The microscopic model will be based on phase fields, in particular to the full Cahn-Hilliard-Navier- Stokes-Fourier model derived in doi:10.17877/de290r-4812 fatcat:tao5x7s6gbhgtbotet7peokl6q