Volume 136, Number 3, November 2021
|Number of page(s)||7|
|Section||Geophysics, Astronomy and Astrophysics|
|Published online||23 February 2022|
Anderson localisation and reentrant delocalisation of tensorial elastic waves in two-dimensional fractured media
1 Department of Earth Sciences, ETH Zürich - Zürich, Switzerland
2 Department of Management, Technology and Economics, ETH Zürich - Zürich, Switzerland
3 Department of Physics, ETH Zürich - Zürich, Switzerland
4 Institute of Risk Analysis, Prediction and Management, Academy for Advanced Interdisciplinary Studies, Southern University of Science and Technology - Shenzhen, China
Received: 9 August 2021
Accepted: 31 August 2021
We study tensorial elastic wave transport in two-dimensional densely fractured media using numerical simulations and document transitions from propagation to diffusion and to localisation/delocalisation. For large fracture stiffness, waves are propagative at the scale of the system. For small stiffness, multiple scattering prevails, such that waves are diffusive in disconnected fracture networks, and localised in connected ones with a strong multifractality of the intensity field. A re-entrant delocalisation is found in well-connected fracture networks due to energy leakage via evanescent waves and cascades of mode conversion.
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