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Ultrasound-induced dense granular flows: a two-time scale modelling

Published online by Cambridge University Press:  30 January 2025

H.A. Martin Open the ORCID record for H.A. Martin [Opens in a new window] ,
A. Mangeney Open the ORCID record for A. Mangeney [Opens in a new window] ,
X. Jia Open the ORCID record for X. Jia [Opens in a new window] ,
B. Maury Open the ORCID record for B. Maury [Opens in a new window] ,
A. Lefebvre-Lepot Open the ORCID record for A. Lefebvre-Lepot [Opens in a new window] ,
Y. Maday Open the ORCID record for Y. Maday [Opens in a new window]  and
P. Dérand Open the ORCID record for P. Dérand [Opens in a new window]
H.A. Martin*
Affiliation:
Institut de Physique du Globe de Paris, Université Paris Cité, CNRS, F-75005 Paris, France Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, CNRS, Université Paris Cité, F-75005 Paris, France
A. Mangeney
Affiliation:
Institut de Physique du Globe de Paris, Université Paris Cité, CNRS, F-75005 Paris, France Institut Universitaire de France (IUF), 75231 Paris Cedex 05, France
X. Jia*
Affiliation:
Institut Langevin, ESPCI Paris, Université PSL, CNRS, F-75005 Paris, France Université Gustave Eiffel, 77454 Marne-la-Vallée Cedex 2, France
B. Maury
Affiliation:
Département de Mathématiques Appliquées, École Normale Supérieure, Université PSL, F-75005 Paris, France Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay, 91405 Orsay Cedex, France
A. Lefebvre-Lepot
Affiliation:
Fédération de Mathématiques de CentraleSupélec, CNRS, FR-3487, CentraleSupélec, Université Paris-Saclay, Saclay, France
Y. Maday
Affiliation:
Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, CNRS, Université Paris Cité, F-75005 Paris, France Institut Universitaire de France (IUF), 75231 Paris Cedex 05, France
P. Dérand
Affiliation:
Institut Langevin, ESPCI Paris, Université PSL, CNRS, F-75005 Paris, France
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

Understanding the mechanisms behind the remote triggering of landslides by seismic waves at micro-strain amplitude is essential for quantifying seismic hazards. Granular materials provide a relevant model system to investigate landslides within the unjamming transition framework, from solid to liquid states. Furthermore, recent laboratory experiments have revealed that ultrasound-induced granular avalanches can be related to a reduction in the interparticle friction through shear acoustic lubrication of the contacts. However, investigating slip at the scale of grain contacts within an optically opaque granular medium remains a challenging issue. Here, we propose an original coupling model and numerically investigate two-dimensional dense granular flows triggered by basal acoustic waves. We model the triggering dynamics at two separated time scales – one for grain motion (milliseconds) and the other for ultrasound (10 ${\rm \mu} {\rm s}$) – relying on the computation of vibrational modes with a discrete element method through the reduction of the local friction. We show that ultrasound predominantly propagates through the strong-force chains, while the ultrasound-induced decrease of interparticle friction occurs in the weak contact forces perpendicular to the strong-force chains. This interparticle friction reduction initiates local rearrangements at the grain scale that eventually lead to a continuous flow through a percolation process at the macroscopic scale – with a delay depending on the proximity to the failure. Consistent with experiments, we show that ultrasound-induced flow appears more uniform in space than pure gravity-driven flow, indicating the role of an effective temperature by ultrasonic vibration.

JFM classification

Granular media: Dry granular material Acoustics: Waves in random media Mathematical Foundations: Computational methods
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1004 , 10 February 2025 , A10
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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