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.
| Original language | English |
|---|---|
| Article number | e2023GL104073 |
| Number of pages | 8 |
| Journal | Geophysical Research Letters |
| Volume | 50 |
| Issue number | 16 |
| Early online date | 10 Aug 2023 |
| DOIs | |
| Publication status | Published - 28 Aug 2023 |
Bibliographical note
This is an Open Access article distributed under the terms of the CreativeCommons Attribution License (http://creativecommons.org/licenses/by/4.0/),
which permits unrestricted use, distribution, and reproduction in any medium,
provided the original work is properly cited
Keywords
- Hele‐Shaw flows
- driven interfaces
- flows in porous media
- nonequilibrium and irreversible thermodynamics
- quasistatic displacements
- random and disordered media