19–22 May 2026
Europe/Paris timezone

Flow rate distribution in a 2D disordered porous medium

22 May 2026, 10:20
1h 30m
Poster Presentation (MS08) Mixing, dispersion and reaction processes across scales in heterogeneous and fractured media Poster

Speaker

José Arnal (IDAEA-CSIC; University of Barcelona, Barcelona, Spain)

Description

We study steady Stokes flow through a two-dimensional packing of circular beads. We build a minimal statistical model for the flow-rate distribution based on a mapping of the pore space to a network of Poiseuille-flow tubes. We show that the flow rates at the pores follow a Gamma distribution, and that the flow-rate distribution at throats is fully determined in terms of it. The predictions agree closely with computational fluid dynamics simulations and show better agreement than prior mean-field models. The study clarifies how local splitting and merging shape flow in disordered porous networks.

Country Spain
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Author

José Arnal (IDAEA-CSIC; University of Barcelona, Barcelona, Spain)

Co-authors

Dr Guillem Sole-Mari (Universitat Politecnica de Catalunya) Tomas Aquino (IDAEA -- CSIC)

Presentation materials

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