On the origin of nonlinear elasticity in disparate rocks
Abstract
Abstract Dynamic acoustoelastic testing is performed on a set of six rock samples (four sandstones, one soapstone, and one granite). From these studies at 20 strain levels 10 −7 < ϵ <10 −5 , four measures characterizing the nonlinear elastic response of each sample are found. Additionally, each sample is tested with nonlinear resonant ultrasonic spectroscopy and a fifth measure of nonlinear elastic response is found. These five measures of the nonlinear elastic response of the samples (approximately 3 × 6×20 × 5 numbers as each measurement is repeated 3 times) are subjected to careful analysis using model‐independent statistical methods, principal component analysis, and fuzzy clustering. This analysis reveals differences among the samples and differences among the nonlinear measures. Four of the nonlinear measures are sensing much the same physical mechanism in the samples. The fifth is seeing something different. This is the case for all samples. Although the same physical mechanisms (two) are operating in all samples, there are distinctive features in the way the physical mechanisms present themselves from sample to sample. This suggests classification of the samples into two groups. The numbers in this study and the classification of the measures/samples constitute an empirical characterization of rockmore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Pennsylvania State Univ., University Park, PA (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1321750
- Alternate Identifier(s):
- OSTI ID: 1402259
- Report Number(s):
- LA-UR-14-28140
Journal ID: ISSN 2169-9313
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Geophysical Research. Solid Earth
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 3; Journal ID: ISSN 2169-9313
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Material Science
Citation Formats
Riviere, Jacques Vincent, Shokouhi, Parisa, Guyer, Robert A., and Johnson, Paul Allan. On the origin of nonlinear elasticity in disparate rocks. United States: N. p., 2015.
Web. doi:10.1002/2014JB011718.
Riviere, Jacques Vincent, Shokouhi, Parisa, Guyer, Robert A., & Johnson, Paul Allan. On the origin of nonlinear elasticity in disparate rocks. United States. https://doi.org/10.1002/2014JB011718
Riviere, Jacques Vincent, Shokouhi, Parisa, Guyer, Robert A., and Johnson, Paul Allan. Tue .
"On the origin of nonlinear elasticity in disparate rocks". United States. https://doi.org/10.1002/2014JB011718. https://www.osti.gov/servlets/purl/1321750.
@article{osti_1321750,
title = {On the origin of nonlinear elasticity in disparate rocks},
author = {Riviere, Jacques Vincent and Shokouhi, Parisa and Guyer, Robert A. and Johnson, Paul Allan},
abstractNote = {Abstract Dynamic acoustoelastic testing is performed on a set of six rock samples (four sandstones, one soapstone, and one granite). From these studies at 20 strain levels 10 −7 < ϵ <10 −5 , four measures characterizing the nonlinear elastic response of each sample are found. Additionally, each sample is tested with nonlinear resonant ultrasonic spectroscopy and a fifth measure of nonlinear elastic response is found. These five measures of the nonlinear elastic response of the samples (approximately 3 × 6×20 × 5 numbers as each measurement is repeated 3 times) are subjected to careful analysis using model‐independent statistical methods, principal component analysis, and fuzzy clustering. This analysis reveals differences among the samples and differences among the nonlinear measures. Four of the nonlinear measures are sensing much the same physical mechanism in the samples. The fifth is seeing something different. This is the case for all samples. Although the same physical mechanisms (two) are operating in all samples, there are distinctive features in the way the physical mechanisms present themselves from sample to sample. This suggests classification of the samples into two groups. The numbers in this study and the classification of the measures/samples constitute an empirical characterization of rock nonlinear elastic properties that can serve as a valuable testing ground for physically based theories that relate rock nonlinear elastic properties to microscopic elastic features.},
doi = {10.1002/2014JB011718},
journal = {Journal of Geophysical Research. Solid Earth},
number = 3,
volume = 120,
place = {United States},
year = {Tue Mar 31 00:00:00 EDT 2015},
month = {Tue Mar 31 00:00:00 EDT 2015}
}
Web of Science
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