Hysteresis in elastic behavior: The connection between low-frequency response and acoustic properties of rocks
- Earth and Environ. Sciences Div., Los Alamos Natl. Lab., Los Alamos, NM 87545 (United States)
- Univ. of Massachusetts, Amherst, MA 01003 (United States)
- New Mexico State Univ., Las Cruces, NM 88003 (United States)
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.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 122298
- Journal Information:
- Journal of the Acoustical Society of America, Journal Name: Journal of the Acoustical Society of America Journal Issue: 5 Vol. 98; ISSN 0001-4966; ISSN JASMAN
- Country of Publication:
- United States
- Language:
- English
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