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Title: Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks

Abstract

The strain response of rock to quasistatic stress cycles (e.g., 10{sup {minus}3} Hz) is highly nonlinear, hysteretic, and displays discrete memory. Rocks also display unusual nonlinear behavior in acoustic wave experiments (e.g., 10{sup 4} Hz). Nonlinearity and hysteresis are prominent features in elastic measurements on rocks. This observation is the key to making the connection between low-frequency (quasistatic) and high-frequency (acoustic) measurements, e.g., between static modulus and dynamic modulus. A new paradigm has been developed for the description of the elastic behavior of rocks and other consolidated materials. This paradigm uses the statistical properties of an ensemble of micron-scale hysteretic mechanical units to describe the elastic response of a macroscopic piece of material. It provides a recipe for inverting stress-strain data (low-frequency data) for the distribution of hysteretic mechanical units. From this distribution, the high-frequency acoustic response of the macroscopic piece of material can be predicted. The new paradigm will be described in principle and in application. Quasistatic stress-strain data on sandstone lead to predictions for dynamic modulus and resonant response that agree well with experiment.

Authors:
 [1];  [2];  [3]
  1. Earth and Environ. Sciences Div., Los Alamos Natl. Lab., Los Alamos, NM 87545 (United States)
  2. Univ. of Massachusetts, Amherst, MA 01003 (United States)
  3. New Mexico State Univ., Las Cruces, NM 88003 (United States)
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
122298
Resource Type:
Journal Article
Journal Name:
Journal of the Acoustical Society of America
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Other Information: PBD: Nov 1995
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; ROCKS; ELASTICITY; ACOUSTIC MEASUREMENTS; FREQUENCY DEPENDENCE; HYSTERESIS; NONLINEAR PROBLEMS; STRAINS; STRESSES

Citation Formats

McCall, K R, Guyer, R A, and Zhu, L. Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks. United States: N. p., 1995. Web. doi:10.1121/1.414230.
McCall, K R, Guyer, R A, & Zhu, L. Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks. United States. https://doi.org/10.1121/1.414230
McCall, K R, Guyer, R A, and Zhu, L. Wed . "Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks". United States. https://doi.org/10.1121/1.414230.
@article{osti_122298,
title = {Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks},
author = {McCall, K R and Guyer, R A and Zhu, L},
abstractNote = {The strain response of rock to quasistatic stress cycles (e.g., 10{sup {minus}3} Hz) is highly nonlinear, hysteretic, and displays discrete memory. Rocks also display unusual nonlinear behavior in acoustic wave experiments (e.g., 10{sup 4} Hz). Nonlinearity and hysteresis are prominent features in elastic measurements on rocks. This observation is the key to making the connection between low-frequency (quasistatic) and high-frequency (acoustic) measurements, e.g., between static modulus and dynamic modulus. A new paradigm has been developed for the description of the elastic behavior of rocks and other consolidated materials. This paradigm uses the statistical properties of an ensemble of micron-scale hysteretic mechanical units to describe the elastic response of a macroscopic piece of material. It provides a recipe for inverting stress-strain data (low-frequency data) for the distribution of hysteretic mechanical units. From this distribution, the high-frequency acoustic response of the macroscopic piece of material can be predicted. The new paradigm will be described in principle and in application. Quasistatic stress-strain data on sandstone lead to predictions for dynamic modulus and resonant response that agree well with experiment.},
doi = {10.1121/1.414230},
url = {https://www.osti.gov/biblio/122298}, journal = {Journal of the Acoustical Society of America},
number = 5,
volume = 98,
place = {United States},
year = {1995},
month = {11}
}