Acoustic spectroscopy of fluid saturation effects in carbonate rock

Averbakh, V. S.; Bredikhin, V. V.; Лебедев, А. В.; Manakov, S. A.

doi:10.1134/s1063771010060035

Cited by 12 publications

(4 citation statements)

References 22 publications

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“…A slightly different version of this algorithm [ Tufts and Kumaresan , ] was applied successfully for the first time by Lebedev and his colleagues in the context of RUS, to synthetic data with Q ~ 50 [ Lebedev , ] and to experimental data with Q ranging from about 50 to 350 [ Lebedev et al , , ]. The same technique was used later on an isotropic sample of carbonate rock where the Q ‐factor was varied from Q ~ 1000 in a vacuum down to Q ~ 40 when fully saturated [ Averbakh et al , ]. In a similar fashion, RUS was applied to sedimentary and metamorphic rock samples with Q ‐factors as low as 20 [ Lebedev et al , ].…”

Section: Introductionmentioning

confidence: 99%

Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

et al. 2015

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Resonant ultrasound spectroscopy (RUS) is a powerful and established technique for measuring elastic constants of a material with general anisotropy. The first step of this technique consists of extracting resonance frequencies and damping from the vibrational frequency spectrum measured on a sample with free boundary conditions. An inversion technique is then used to retrieve the elastic tensor from the measured resonance frequencies. As originally developed, RUS has been mostly applicable to (i) materials with small damping such that the resonances of the sample are well separated and (ii) samples with simple geometries for which analytical solutions exist. In this paper, these limitations are addressed with a new RUS approach adapted to materials with high damping and samples of arbitrary geometry. Resonances are extracted by fitting a sum of exponentially damped sinusoids to the measured frequency spectrum. The inversion of the elastic tensor is achieved with a genetic algorithm, which allows searching for a global minimum within a discrete and relatively wide solution space. First, the accuracy of the proposed approach is evaluated against numerical data simulated for samples with isotropic symmetry and transversely isotropic symmetry. Subsequently, the applicability of the approach is demonstrated using experimental data collected on a composite structure consisting of a cylindrical sample of Berea sandstone glued to a large piezoelectric disk. In the proposed experiments, RUS is further enhanced by the use of a 3‐D laser vibrometer allowing the visualization of most of the modes in the frequency band studied.

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Section: Introductionmentioning

confidence: 99%

Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

et al. 2015

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“…Figure 1 (see also [25]) shows the physical config uration of the experimental setup. The letters "R" and "S" mark the oscillation receiver and the excitation power source, respectively.…”

Section: Measurement Of Acousticmentioning

confidence: 99%

“…The excitation frequency varied with the step, which was ten times smaller than the expected width of the resonance max imum (the Q factor of oscillations did not exceed 200 for all specimens) to resolve the overlapping resonance lines [29]. To eliminate effects related to the influence of fluid vapor and condensate inside the specimens (e.g., [25]), the measurements were performed in a rarefied atmosphere at the pressure of ~20 Pa. Simple estimates show that the fluid inside the specimens at such pressure could have existed only in a bound state, the thickness of the adsorption film being about 5 Å.…”

Section: Measurement Of Acousticmentioning

confidence: 99%

Correlation between elastic anisotropy and magnetic susceptibility anisotropy of sedimentary and metamorphic rock

2012

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A correlation has been revealed between the types of acoustic anisotropy and magnetic suscepti bility anisotropy for specimens from noncrystalline metamorphic and sedimentary rock has been revealed. This correlation makes it possible to assume that the anisotropy of magnetic and acoustic characteristics has the same origin, namely, the rock texture. The pronounced triaxial acoustic anisotropy for specimens of poly crystalline rock in the absence of external forces makes it possible to judge the fracturing caused by tectonic loads and the degree of this fracturing. The large body of available experimental data allows the expectation that it will be possible to obtain empirical dependences suitable for estimating the intensity of geological pro cesses based on the values of the magnetic susceptibility anisotropy and elasticity tensor anisotropy.

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“…This potential has two minima with separation distances and and a barrier with for some ion concentrations and electric potentials. Rock, concrete and other porous materials widely used in industry contain a sufficient amount of fluid and ions between the grains even in room conditions to be trustworthy recorded in elastic moduli (e.g., the results of accurate measurements in [40]). Therefore, the potential ( 5) is a good approximation for better understanding of slow and fast time processes.…”

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confidence: 99%

Slow Time Phenomena in Heterogeneous Materials: from Microscopic Fluctuations to Macroscopic Relaxation

Лебедев

2023

Acoust. Phys.

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Slow time relaxation of elastic moduli with typically logarithmic time dependence is observed in many media interesting for materials science. This phenomenon is related to internal structure and is, hence, important for the development of present-day materials. Here, we provide a general explanation showing a close link between slow time phenomena and fluctuations on the microscopic and mesoscopic scales. We look for the origin of slow time phenomena in random walk or diffusion processes on microscopic scales. Some bonds occurring in the metastable state make a transition through the energy barriers due to small fluctuations slightly perturbing the statistical equilibrium. If the number of the excited bonds is small compared to the total number of bonds in a heterogeneous material, the process of the transition as a whole can be considered as mesoscopic fluctuations. Averaging over all transient bonds or states is revealed in the observed macroscopic relaxation of elastic moduli, velocities, and others. The functional dependence on time in the relaxation process has been shown to be controlled by the profile of energy barriers. The results obtained point to their possible applications in materials science.

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Acoustic spectroscopy of fluid saturation effects in carbonate rock

Cited by 12 publications

References 22 publications

Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

Resonant ultrasound spectroscopy for materials with high damping and samples of arbitrary geometry

Correlation between elastic anisotropy and magnetic susceptibility anisotropy of sedimentary and metamorphic rock

Slow Time Phenomena in Heterogeneous Materials: from Microscopic Fluctuations to Macroscopic Relaxation

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