19–22 May 2026
Europe/Paris timezone

Two-phase flow of yield-stress fluid in porous media : flow regimes and invasion patterns

19 May 2026, 11:50
15m
Oral Presentation (MS09) Pore-Scale Physics and Modeling MS09

Speaker

Nathan Abitbol (Université Paris-Saclay)

Description

We investigate the flow of yield-stress fluid using a pore-network model, a simplified representation of porous media. Dynamic two-phase flows are considered, where a Newtonian fluid is injected into a medium initially saturated with a yield-stress fluid. In this system, yield stress competes with both capillarity and viscous forces, leading to the appearance of multiple new flow regimes.

A breakthrough criterion is derived and three novel flow regimes are studied: a stable-front regime, and two invasion patterns that arise from the presence of the yield stress. When the invading Newtonian fluid is highly viscous, preferential flow paths develop for high yield stress values and lead to the formation of a column-like invasion pattern. In contrast, for lower viscosities, a directed tree structure emerges from the branching of the advancing paths.

To distinguish these different flow regimes, we introduce a set of dimensionless parameters and construct a phase diagram using qualitative observables.

Country France
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Author

Nathan Abitbol (Université Paris-Saclay)

Co-authors

Dr Alberto Rosso (LPTMS, CNRS, Université Paris-Saclay) Alex Hansen (NTNU) Laurent Talon (lab. FAST, CNRS, Université Paris-Saclay)

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