The Relation Between Dissipation and Memory in Two-Fluid Displacements in Disordered Media
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.
Main Authors: | , , , |
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Other Authors: | |
Format: | artículo biblioteca |
Language: | English |
Published: |
Wiley-Blackwell
2023-08-28
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Subjects: | Random and disordered media, Driven interfaces, Flows in porous media, Hele-Shaw flows, Nonequilibrium and irreversible thermodynamics |, Quasistatic displacements, http://metadata.un.org/sdg/6, Ensure availability and sustainable management of water and sanitation for all, |
Online Access: | http://hdl.handle.net/10261/334367 https://api.elsevier.com/content/abstract/scopus_id/85167788633 |
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Summary: | 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. |
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