22–25 May 2023
Europe/London timezone

Traveling wave solutions describing the foam flow in porous media for low surfactant concentration

22 May 2023, 15:00
15m
Oral Presentation (MS21) Non-linear effects in flow and transport through porous media MS21

Speaker

Luis Fernando Lozano Guerrero (LAMAP- Universidade Federal de Juiz de Fora)

Description

We present a foam displacement model with a separate balance equation for the surfactant concentration in the aqueous phase. We consider the gas mobility that depends on the surfactant concentration and the dynamic behavior of foam as Newtonian. We study traveling wave solutions for the proposed model considering a high initial water saturation (drainage scenario) and varying the injected water saturation. The traveling wave solutions are studied using phase portrait analysis and validated with direct numerical simulations. For surfactant concentration at the injection and initial conditions above the Critical Micelle Concentration (CMC), we only found traveling wave solutions in the case when these concentrations are equal. For surfactant concentration at the injection and initial conditions below the CMC, we found traveling wave solutions whenever surfactant concentration at the injection is greater or equal to that at the initial condition.

References

E. Ashoori, D. Marchesin, and W. R. Rossen. Roles of transient and local equilibrium foam behavior in porous media: Traveling wave. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 377(1):228–242, 2011.
P. L. J. Zitha and D. X. Du. A new stochastic bubble population model for foam flow in porous media. Transport in Porous Media, 83(3):603–621, 2010.
R. Q. Zavala, L. F. Lozano, P. L. J. Zitha, and G. Chapiro. Analytical solution for the population-balance model describing foam displacement. Transport in Porous Media,
pages 1–17, 2021.
L. F. Lozano, R. Q. Zavala, and G. Chapiro. Mathematical properties of the foam flow
in porous media. Computational Geosciences, 25(1):515–527, 2021.

Participation In-Person
Country Brasil
MDPI Energies Student Poster Award No, do not submit my presenation for the student posters award.
Acceptance of the Terms & Conditions Click here to agree

Primary authors

Luis Fernando Lozano Guerrero (LAMAP- Universidade Federal de Juiz de Fora) Prof. Grigori Chapiro (Universidade Federal de Juiz de Fora) Dr Rosmery Quispe Zavala (Universidade Federal de Juiz de Fora)

Presentation materials

There are no materials yet.