Scientific Papers

On the Riemann Problem for the Foam Displacement in Porous Media with Linear Adsorption

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SIAM Journal on Applied Mathematics, Volume 84, Issue 2, Page 581-601, April 2024.
Abstract. Motivated by the foam displacement in porous media with linear adsorption, we extended the existing framework for two-phase flow containing an active tracer described by a non–strictly hyperbolic system of conservation laws. We solved the global Riemann problem by presenting possible wave sequences that composed this solution. Although the problems are well-posed for all Riemann data, there is a parameter region where the solution lacks structural stability. We verified that the model implemented on the most used commercial solver for geoscience, CMG-STARS, describing foam displacement in porous media with adsorption, satisfies the hypotheses to apply the developed theory, resulting in structural stability loss for some parameter regions.

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