Article Dans Une Revue Advances in Water Resources Année : 2025

Semi-analytical solutions for flow with space or time-varying viscosity in fractured porous media

Résumé

Some polymer solutions can form a gel when injected into a porous medium. These gel-forming solutions are of great interest for specific applications such as improving the geotechnical characteristics of soils and enhancing the recovery of contaminants or oil from fractured reservoirs. During its travel through porous media, the viscosity of the gelling solution increases, which can significantly affect its hydraulic properties. This work considers the injection of a gelling polymer, whose viscosity varies in space or time, into a system of two fractures with different apertures. Semi-analytical solutions are developed to describe the evolution of velocity as well as the position of the gelling solution front inside each fracture. The developed semi-analytical solutions are useful to investigate the effect of different parameters as demonstrated by the global sensitivity analysis carried out. GSA results show that fluid velocity inside fractures has different influencing parameters over time. Increasing the viscosity of the gelling fluid reduces the gap between the arrival times of the gelling fluid passing through the large and thin fractures. The semi-analytical solutions can also serve for the validation of numerical models simulating variable viscosity flow in fractured media, as we demonstrate with an in-house code.

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hal-05364968 , version 1 (14-11-2025)

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Benjamin Belfort, Anis A. Younes. Semi-analytical solutions for flow with space or time-varying viscosity in fractured porous media. Advances in Water Resources, 2025, 204, pp.105041. ⟨10.1016/j.advwatres.2025.105041⟩. ⟨hal-05364968⟩
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