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The relation between dissipation and memory in two-fluid displacements in disordered media
  • +1
  • Ran Holtzman,
  • Marco Dentz,
  • Ramon Planet,
  • Jordi Ortín
Ran Holtzman
Centre for Fluid and Complex Systems, Coventry University

Corresponding Author:[email protected]

Author Profile
Marco Dentz
Spanish National Research Council (IDAEA-CSIC)
Ramon Planet
Departament de Física de la Matèria Condensada, Universitat de Barcelona, Institute of Complex Systems, Universitat de Barcelona Barcelona
Jordi Ortín
Departament de Física de la Matèria Condensada, Universitat de Barcelona, Institute of Complex Systems, Universitat de Barcelona Barcelona

Abstract

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.
19 Nov 2023Submitted to ESS Open Archive
20 Nov 2023Published in ESS Open Archive