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Liquid relative permeability through foam-filled porous media: Experiments
Phys. Rev. Fluids 8, 024302 – Published 8 February, 2023
DOI: https://doi.org/10.1103/PhysRevFluids.8.024302
Abstract
For some applications involving liquid foams, such as soil remediation for example, the liquid relative permeability of the foam-filled porous medium is a crucial parameter as it sets the liquid flow rate at which active substances or nutrients (for bacteria) can be delivered deep into the medium. We are interested in the liquid relative permeability of foam-filled porous media, within the range of low liquid saturations, i.e., . We fill porous media (packed spherical grains) with different foams made from either alkyl polyglucosides (APG) or saponin, in such a manner that we obtain highly controlled samples in terms of the bubble-to-grain size ratio and the liquid saturation. The liquid relative permeability of saponin samples exhibits an optimal value as a function of , while it increases significantly for APG foams. The ratio of their relative permeability of APG/saponin reveals two regimes as a function of : for 0.25, the permeability ratio is equal to the ratio corresponding to the bulk foams, while for larger values, the permeability ratio is increased by one order of magnitude. The foam microstructure changes a lot as the bubble-to-grain size ratio increases up to 0.5, so that a new liquid network is activated, made of surface channels and liquid bridges, the former connecting the latter even at low liquid saturation. These new liquid elements may greatly benefit foams with mobile interfaces such as APGs. One such issue would deserve a dedicated study to be elucidated.
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References (16)
- P. Stevenson, Foam Engineering Fundamentals and Applications (John Wiley & Sons, New York, 2012).
- G. J. Hirasaki, C. A. Miller, R. Szafranski, J. B. Lawson, and N. Akiya, Surfactant/foam process for aquifer remediation, Proceedings - SPE International Symposium on Oilfield Chemistry (1997).
- W. R. Rossen, Foams in enhanced oil recovery, in Foams: Theory, Measurements and Applications, edited by Robert K. Prud'Homme, and Saad A. Khan (Routledge, New York, 1996).
- A. Szymkiewicz, Modelling Water Flow in Unsaturated Porous Media: Accounting for Nonlinear Permeability and Material (Springer, New York, 2013).
- G. G. Bernard, L. W. Holm, and W. L. Jacobs, Effect of foam on trapped gas saturation and on permeability of porous media to water, Soc. Pet. Eng. J. 5, 295 (1965).
- A. A. Eftekhari and R. Farajzadeh, Effect of foam on liquid phase mobility in porous media, Sci. Rep. 7, 43870 (2017).
- Y. Khidas, B. Haffner, and O. Pitois, Capture-induced transition in foamy suspensions, Soft Matter 10, 4137 (2014).
- F. Gorlier, Y. Khidas, and O. Pitois, Coupled elasticity in soft solid foams, J. Colloid Interface Sci. 501, 103 (2017).
- A. Mouquet, Y. Khidas, T. Saison, J.-Y. Faou, and O. Pitois, Well-controlled foam-based solid coatings, Soft Matter 15, 5084 (2019).
- A. Kaddami and O. Pitois, A physical approach towards controlling the microstructure of metakaolin-based geopolymer foams, Cem. Concr. Res. 124, 105807 (2019).
- G. D. Miles, L. Shedlovsky, and J. F. D. Ross, Foam drainage, J. Phys. Chem. 49, 93 (1945).
- D. Weaire, N. Pittet, S. Hutzler, and D. Pardal, Steady-State Drainage of an Aqueous Foam, Phys. Rev. Lett. 71, 2670 (1993).
- I. Cantat, S. Cohen-Addad, F. Elias, F. Graner, R. Höhler, O. Pitois, F. Rouyer, and A. Saint-Jalmes, Foams: Structure and Dynamics (Oxford University Press, Oxford, 2013).
- F. Rouyer, O. Pitois, E. Lorenceau, and N. Louvet, Permeability of a bubble assembly: From the very dry to the wet limit, Phys. Fluids 22, 043302 (2010).
- P. C. Carman, Fluid flow through granular beds, Trans. Inst. Chem. Eng. London 15, 150 (1937).
- J. Kozeny, Ueber kapillare Leitung des Wassers im Boden, Sitzungsber Akad. Wiss. 136, 271 (1927).
