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

Journal Article · · Physical Review Materials
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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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE); French National Research Agency (ANR)
Grant/Contract Number:
AC52-06NA25396; ANR-11 RSNR 0009
OSTI ID:
1371610
Alternate ID(s):
OSTI ID: 1407887
Report Number(s):
LA-UR-17-23120; PRMHAR; 023603
Journal Information:
Physical Review Materials, Journal Name: Physical Review Materials Vol. 1 Journal Issue: 2; ISSN 2475-9953
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

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Related Subjects

58 GEOSCIENCES
Nonlinear Elasticity
Dynamic Acousto-Elasticity
Geomaterials
Rocks
Hyperelasticity
Slow Dynamics