The relation between dissipation and memory in two-fluid displacements in disordered media

Ran Holtzman, Marco Dentz, Ramon Planet, Jordi Ortin

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We show that the return-point memory of cyclic macroscopic trajectories enables the derivation of a thermodynamic framework for quasistatically driven dissipative systems with multiple metastable states. We use this framework to sort out and quantify the energy dissipated in quasistatic fluid-fluid displacements in disordered media. Numerical computations of imbibition–drainage cycles in a quasi-2D medium with gap thickness modulations (imperfect Hele-Shaw cell) show that energy dissipation in quasistatic displacements is due to abrupt changes in the fluid-fluid configuration between consecutive metastable states (Haines jumps), and its dependence on microstructure and gravity. The relative importance of viscous dissipation is deduced from comparison with quasistatic experiments.
Original languageEnglish
Article numbere2023GL104073
Number of pages8
JournalGeophysical Research Letters
Issue number16
Early online date10 Aug 2023
Publication statusPublished - 28 Aug 2023

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This is an Open Access article distributed under the terms of the Creative
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  • Hele‐Shaw flows
  • driven interfaces
  • flows in porous media
  • nonequilibrium and irreversible thermodynamics
  • quasistatic displacements
  • random and disordered media


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