Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone
| Autor: | Jérôme Fortin, Chris Marone, Lucas Xan Pimienta, Parisa Shokouhi, Thibault Candela, Jacques Rivière, Alexandre Schubnel, Paul A. Johnson, Marco M. Scuderi |
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| Rok vydání: | 2016 |
| Předmět: |
nonlinear acoustics
Materials science 010504 meteorology & atmospheric sciences Geological Survey Netherlands Modulus Mineralogy 010502 geochemistry & geophysics acousto-elasticity Berea sandstone frequency dependence nonlinear elasticity ultrasonic testing earth and planetary sciences geophysics 01 natural sciences Nonlinear acoustics Softening 0105 earth and related environmental sciences Energy Orders of magnitude (frequency) Mechanics Geo Nonlinear system GM - Geomodelling Geophysics Amplitude Harmonics Harmonic General Earth and Planetary Sciences ELSS - Earth Life and Social Sciences |
| Zdroj: | Geophysical Research Letters, 20, 43 |
| ISSN: | 1944-8007 0094-8276 |
| Popis: | Acoustoelasticity measurements in a sample of room dry Berea sandstone are conducted at various loading frequencies to explore the transition between the quasi‐static ( ) and dynamic (few kilohertz) nonlinear elastic response. We carry out these measurements at multiple confining pressures and perform a multivariate regression analysis to quantify the dependence of the harmonic content on strain amplitude, frequency, and pressure. The modulus softening (equivalent to the harmonic at 0f) increases by a factor 2–3 over 3 orders of magnitude increase in frequency. Harmonics at 2f, 4f, and 6f exhibit similar behaviors. In contrast, the harmonic at 1f appears frequency independent. This result corroborates previous studies showing that the nonlinear elasticity of rocks can be described with a minimum of two physical mechanisms. This study provides quantitative data that describes the rate dependency of nonlinear elasticity. These findings can be used to improve theories relating the macroscopic elastic response to microstructural features. |
| Databáze: | OpenAIRE |
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