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Title: Nonlinear elasticity in rocks: A comprehensive three-dimensional description

Abstract

Here we study theoretically and experimentally the mechanisms of nonlinear and nonequilibrium dynamics in geomaterials through dynamic acoustoelasticity testing. In the proposed theoretical formulation, the classical theory of nonlinear elasticity is extended to include the effects of conditioning. This formulation is adapted to the context of dynamic acoustoelasticity testing in which a low-frequency “pump” wave induces a strain field in the sample and modulates the propagation of a high-frequency “probe” wave. Experiments are conducted to validate the formulation in a long thin bar of Berea sandstone. Several configurations of the pump and probe are examined: the pump successively consists of the first longitudinal and first torsional mode of vibration of the sample while the probe is successively based on (pressure) $P$ and (shear) $S$ waves. The theoretical predictions reproduce many features of the elastic response observed experimentally, in particular, the coupling between nonlinear and nonequilibrium dynamics and the three-dimensional effects resulting from the tensorial nature of elasticity.

Authors:
 [1]; ORCiD logo [2];  [1];  [2];  [2];  [1]
  1. Centre National de la Recherche Scientifique (CNRS), Marseille (France). Laboratoire de Mecanique et d'Acoustique (LMA)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE); French National Research Agency (ANR)
OSTI Identifier:
1371610
Alternate Identifier(s):
OSTI ID: 1407887
Report Number(s):
LA-UR-17-23120
Journal ID: ISSN 2475-9953; TRN: US1703288
Grant/Contract Number:
AC52-06NA25396; ANR-11 RSNR 0009
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Materials
Additional Journal Information:
Journal Volume: 1; Journal Issue: 2; Journal ID: ISSN 2475-9953
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; Nonlinear Elasticity, Dynamic Acousto-Elasticity, Geomaterials, Rocks, Hyperelasticity, Slow Dynamics

Citation Formats

Lott, Martin, Remillieux, Marcel, Garnier, Vincent, Le Bas, Pierre-Yves, Ulrich, Timothy James II, and Payan, Cedric. Nonlinear elasticity in rocks: A comprehensive three-dimensional description. United States: N. p., 2017. Web. doi:10.1103/PhysRevMaterials.1.023603.
Lott, Martin, Remillieux, Marcel, Garnier, Vincent, Le Bas, Pierre-Yves, Ulrich, Timothy James II, & Payan, Cedric. Nonlinear elasticity in rocks: A comprehensive three-dimensional description. United States. doi:10.1103/PhysRevMaterials.1.023603.
Lott, Martin, Remillieux, Marcel, Garnier, Vincent, Le Bas, Pierre-Yves, Ulrich, Timothy James II, and Payan, Cedric. Mon . "Nonlinear elasticity in rocks: A comprehensive three-dimensional description". United States. doi:10.1103/PhysRevMaterials.1.023603.
@article{osti_1371610,
title = {Nonlinear elasticity in rocks: A comprehensive three-dimensional description},
author = {Lott, Martin and Remillieux, Marcel and Garnier, Vincent and Le Bas, Pierre-Yves and Ulrich, Timothy James II and Payan, Cedric},
abstractNote = {Here we study theoretically and experimentally the mechanisms of nonlinear and nonequilibrium dynamics in geomaterials through dynamic acoustoelasticity testing. In the proposed theoretical formulation, the classical theory of nonlinear elasticity is extended to include the effects of conditioning. This formulation is adapted to the context of dynamic acoustoelasticity testing in which a low-frequency “pump” wave induces a strain field in the sample and modulates the propagation of a high-frequency “probe” wave. Experiments are conducted to validate the formulation in a long thin bar of Berea sandstone. Several configurations of the pump and probe are examined: the pump successively consists of the first longitudinal and first torsional mode of vibration of the sample while the probe is successively based on (pressure) $P$ and (shear) $S$ waves. The theoretical predictions reproduce many features of the elastic response observed experimentally, in particular, the coupling between nonlinear and nonequilibrium dynamics and the three-dimensional effects resulting from the tensorial nature of elasticity.},
doi = {10.1103/PhysRevMaterials.1.023603},
journal = {Physical Review Materials},
number = 2,
volume = 1,
place = {United States},
year = {Mon Jul 17 00:00:00 EDT 2017},
month = {Mon Jul 17 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevMaterials.1.023603

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