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Main Authors: Holtzman, Ran, Dentz, Marco, Moura, Marcel, Chubynsky, Mykyta, Planet, Ramon, Ortin, Jordi
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.13077
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author Holtzman, Ran
Dentz, Marco
Moura, Marcel
Chubynsky, Mykyta
Planet, Ramon
Ortin, Jordi
author_facet Holtzman, Ran
Dentz, Marco
Moura, Marcel
Chubynsky, Mykyta
Planet, Ramon
Ortin, Jordi
contents We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our analysis predicts the capillary energy dissipated in abrupt interfacial displacements (jumps) across defects, and relates it to the corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish between "weak" (reversible interface displacement, exhibiting no hysteresis and dissipation) and "strong" (irreversible) defects. We expose the emergence of dissipation and irreversibility caused by spatial interactions, mediated by interfacial tension, among otherwise weak defects. We exemplify this cooperative behavior for a pair of weak defects and establish a critical separation distance, analytically and numerically, verified by a proof-of-concept experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2401_13077
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces
Holtzman, Ran
Dentz, Marco
Moura, Marcel
Chubynsky, Mykyta
Planet, Ramon
Ortin, Jordi
Fluid Dynamics
We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our analysis predicts the capillary energy dissipated in abrupt interfacial displacements (jumps) across defects, and relates it to the corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish between "weak" (reversible interface displacement, exhibiting no hysteresis and dissipation) and "strong" (irreversible) defects. We expose the emergence of dissipation and irreversibility caused by spatial interactions, mediated by interfacial tension, among otherwise weak defects. We exemplify this cooperative behavior for a pair of weak defects and establish a critical separation distance, analytically and numerically, verified by a proof-of-concept experiment.
title Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces
topic Fluid Dynamics
url https://arxiv.org/abs/2401.13077