Speaker
Description
The problem of upscaling in determining the macroscale behaviour of two-phase flow in porous media from pore scale to darcy scale is one of the central problems in our field of research. Simplified models like the capillary fibre bundle model gives some insight into the macroscale behaviour, however it lacks a crucial property of a real porous media, namely mixing. We focus on investigating a model of a porous media consisting of diverging and merging T-junctions in sequence creating a loop model with more complex topology than the capillary fibre model, but simpler than a true network model. Our goal is to use this more complex model to derive statistical properties on a macroscopic scale following the framework of Hansen et al. [1] based on Jaynes information entropy. We will present several analytical results, for instance the loop model explicitly shows flux dependence on the Euler characteristic of the bubble distribution, as predicted by the Hadwiger theorem. Under the right conditions the model can be shown to facilitate mixing, making this a great candidate for modelling the thermodynamics of flow in porous media. Our numerical results show the flux through the model, and the interfacial energy tends towards a steady state.
| References | [1] Hansen, A., Flekkøy, E.G., Sinha, S. and Slotte, P.A., 2023. A statistical mechanics framework for immiscible and incompressible two-phase flow in porous media. Advances in Water Resources, 171, p.104336. |
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| Country | Norway |
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