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arXiv · 2304.07414

On the Riemann problem for the foam displacement in porous media with linear adsorption

G. C. Fritis·P. S. Paz·L. F. G. Lozano·G. Chapiro
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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-posedness 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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G. C. Fritis, P. S. Paz, L. F. G. Lozano, G. Chapiro. 2023-04-14. On the Riemann problem for the foam displacement in porous media with linear adsorption. https://arxiv.org/abs/2304.07414

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