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Drying and percolation in correlated porous media

Soumyajyoti Biswas1,*, Paolo Fantinel1, Oshri Borgman2,†, Ran Holtzman2,‡, and Lucas Goehring3,§

  • 1Max Planck Institute for Dynamics and Self-Organisation (MPIDS), Göttingen 37077, Germany
  • 2Department of Soil and Water Sciences, The Hebrew University of Jerusalem, Israel
  • 3School of Science and Technology, Nottingham Trent University, Nottingham, NG11 8NS, United Kingdom

  • *WW8-Materials Simulation, Department of Materials Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, Fürth 90762, Germany.
  • †The Department of Environmental Hydrology and Microbiology, Ben-Gurion University of the Negev, Sede Boqer, 8499000, Israel.
  • ‡Institute of Environmental Assessment and Water Research (IDAEA), Spanish National Research Council (CSIC), Barcelona 08034, Spain.
  • §lucas.goehring@ntu.ac.uk
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Phys. Rev. Fluids 3, 124307 – Published 21 December, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.124307

Abstract

We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in microfluidic micromodels of porous media. Here, the fluid pressures develop more intermittent dynamics as local correlations are added to the structure of the pore spaces. We also consider this problem numerically, using a model of invasion percolation with trapping, and find that there is a crossover in invasion behavior associated with the length scale of the disorder in the system. The critical exponents that describe large enough events are similar to the classic invasion percolation problem, while the addition of a finite correlation length significantly affects the exponent values of avalanches and bursts, up to some characteristic size. We find that even a weak local structure can interfere with the universality of invasion percolation phenomena. This has implications for a variety of multiphase flow problems, such as drying, drainage, and fluid invasion.

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Phys. Rev. Fluids 3, 124307– Published 21 December, 2018
  • Received 11 September 2018
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