Modeling nonlinear viscoelasticity in dynamic acoustoelasticity

Trarieux, Chloé; Callé, Samuel; Moreschi, Hélène; Renaud, Guillaume; Defontaine, M.

doi:10.1063/1.4904995

Cited by 23 publications

(16 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The probe ( p ) is a HF pulse (of low strain amplitude, ε p ≃10 −7 ) that tests the state of the sample at all phases of the pump strain field, i.e., in both compression and tension. From the response of the probe to the pump modulation, a complete description of the rich nonlinear elastic properties of the sample is obtained, e.g., hysteresis, tension/compression asymmetry, and nonlinear elastic constants, providing a more complete picture on the nonlinear phenomena than static experiments [ Renaud et al , , , , , , ; Moreschi et al , ; Trarieux et al , ; Rivière et al , , ].…”

Section: Introductionmentioning

confidence: 99%

Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone

Rivière

Pimienta

Scuderi

et al. 2016

Geophysical Research Letters

View full text Add to dashboard Cite

Acoustoelasticity measurements in a sample of room dry Berea sandstone are conducted at various loading frequencies to explore the transition between the quasi‐static ( f→0) 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.

show abstract

Section: Introductionmentioning

confidence: 99%

Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone

Rivière

Pimienta

Scuderi

et al. 2016

Geophysical Research Letters

View full text Add to dashboard Cite

show abstract

“…4b and d). Such phase delay depends on the storage and loss modulus of the material, namely the relation between the real and imaginary parts of the frequency domain signals [34], as well as on the hysteretic contribution U(De, _ e). Further, by integrating the relation between the relative variations of modulus with strain, the stress-strain relationship can be obtained as…”

Section: Resultsmentioning

confidence: 99%

Dynamic acousto-elastic test using continuous probe wave and transient vibration to investigate material nonlinearity

Eiras

Lott

et al. 2016

Ultrasonics

View full text Add to dashboard Cite

“…To include both nonlinearity and viscoelasticity, Favrie et al (2015) developed a phenomenological model in which nonlinearity was included through a "soft rachet" mechanism and viscoelasticity through a generalized Zener model with multiple relaxation rates. Another way of combining nonlinear and viscoelastic methods is an empirical approach involving complex nonlinear coefficients at each frequency (Trarieux et al, 2014). Our methodology is also empirical; however, it differs from the previous works that focus on the use of continuous waves because our data are collected in the time domain and our model is therefore time domain based and includes viscoelasticity and causality (Szabo, 1995, 2014.…”

Section: Citationmentioning

confidence: 99%

Short‐Period Nonlinear Viscoelastic Memory of Rocks Revealed by Copropagating Longitudinal Acoustic Waves

et al. 2018

View full text Add to dashboard Cite

We describe a new sensitive acoustic method to measure nonlinear viscoelastic properties of rocks directly in the time domain. Unlike static stress-strain measurements, or dynamic acousto-elastic methods that use steady state resonance to load a strain field into a rock, our method uses two copropagating longitudinal acoustic waves, one to perturb the strain in the sample and the other to probe the effect of that strain. Experiments on Crab Orchard Sandstone and Lucite samples are presented. We evaluate the time-dependent nonlinear effects and find strong evidence that rocks have a short-period nonlinear viscoelastic memory that is a function of the time history of the loaded strain. We develop a phenomenological model to describe both this nonlinear viscoelastic memory and the nonlinear elastic behavior of rock. Our model shows that the viscoelastic memory is controlled by both the traditional nonlinear elastic coefficients and a memory strength parameter. These new observations and methods have significance for quantifying changes in microstructure. This short-term memory effect, on the order of a small fraction of a cycle, is shown to be related through viscoelasticity to absorption in the sample.Plain Language Summary By using propagating ultrasound waves to probe rocks, we have developed measurement methods to characterize very small changes in the stiffness of rocks in response applied dynamic strains. When strained, rocks become softer and have a short-term memory. Our sensitive methods reveal that rock microstructure is responsive to environmental conditions such as overload and fluid content. These new approaches may allow earth scientists to better understand earthquake fault zones or sense environmental problems such as fluid leaks in near-surface reservoirs.

show abstract

Modeling nonlinear viscoelasticity in dynamic acoustoelasticity

Abstract: A non-linear viscoelastic model for the tympanic membrane J. Acoust. Soc. Am. 134, 4427 (2013); 10.1121/1.4828831 Acoustoelasticity in soft solids: Assessment of the nonlinear shear modulus with the acoustic radiation force

Cited by 23 publications

References 37 publications

Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone

Frequency, pressure, and strain dependence of nonlinear elasticity in Berea Sandstone

Dynamic acousto-elastic test using continuous probe wave and transient vibration to investigate material nonlinearity

Short‐Period Nonlinear Viscoelastic Memory of Rocks Revealed by Copropagating Longitudinal Acoustic Waves

Contact Info

Product

Resources

About