Internal friction in shear and shear modulus of Solenhofen limestone over a frequency range of 10<sup>7</sup>cycles per second

Peselnick, Louis; Outerbridge, William F.

doi:10.1029/jz066i002p00581

Cited by 63 publications

(33 citation statements)

References 7 publications

(4 reference statements)

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“…Many data (Peselnick and Outerbridge 1961;Knopoff 1964) are also explained by the frictional dissipation mechanism. This mechanism, which yields a constant Q versus frequency, can be interpreted as frame inelasticity incorporated in Biot's (1956a,b) formulations.…”

Section: Vp (Iter) Vs (Iter) Vp (Meas) Vs (Meas)mentioning

confidence: 92%

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹

Tao

King

Nabi-Bidhendi

1995

Geophysical Prospecting

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Abst ractCompressional and shear-wave velocities have been measured and a novel approach using digital processing employed to study wave attenuation for brine-and gassaturated sandstones, over a range of effective stresses from 5 to 60 MPa. Also measured were the complex conductivity in the brine-saturated state and permeability in the gas-saturated state over the same range of stresses as for the velocity measurements. Broadband ultrasonic pulses of P-and orthogonally polarized S-waves in the frequency range 0.3-0.8 MHz are transmitted through the specimen to be characterized for comparison with a reference (aluminium) having low attenuation. The attenuation is calculated in terms of the quality factor Q from the Fourier spectral ratios, using the frequency spectral ratios technique. The corrections necessary for the effects of diffraction due to the finite size of the ultrasonic transducers have been carried out for the case of measurements under lower confining stress. To interpret the laboratory measured velocity and attenuation data under the physical conditions of this study and to estimate the effects of pore structure, numerical modelling of velocities and attenuation as functions of the confining stress have been performed, based on the MIT model. Theoretical models based on several hypothesized attenuation mechanisms are considered in relation to laboratory data of the effects of confining pressure, fluid saturation and pore structure on attenuation. Numerical calculations using these models with the experimental data indicate that friction on thin cracks and grain boundaries is the dominant attenuation mechanism for dry and brine-saturated sandstones at low effective stresses for the frequencies tested. However, for brine-saturated sandStones at moderately high effective stresses, fluid flow could play a more important role in ultrasonic S-wave attenuation, depending on the pore structure of the sample.

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Section: Vp (Iter) Vs (Iter) Vp (Meas) Vs (Meas)mentioning

confidence: 92%

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹

Tao

King

Nabi-Bidhendi

1995

Geophysical Prospecting

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“…In the calculation, the only major assumption needed is that there is no velocity dispersion in dry rocks, which is supported by experiments (Peselnick and Outerbridge, 1961;Spencer, 1981 ) compressional velocity in the saturated rock at low-frequency limit; Vs/, shear velocity in the saturated rock at lowfrequency limit; V•h, compressional velocity in the saturated rock at high-frequency limit; and Vsh, shear velocity in the saturated rock at high-frequency limit. The high-frequency limit of the velocities in the Biot theory is used to calculate the high-frequency limit velocities and a is called the tortuosity factor, which is defined in the Biot theory as a nondimensional parameter dependent on the pore geometry of the porous medium.…”

Section: Biot Dispersion = ( Vs --Vo )/Vomentioning

confidence: 99%

Dispersion analysis of acoustic velocities in rocks

Wang

Nur

1990

The Journal of the Acoustical Society of America

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Acoustic velocity dispersions in three rocks saturated with water, normal decane (n-decane), and a heavy oil (in petroleum engineering, heavy oil is referred to as crude oil with viscosity higher than 0.5 Pa s), respectively, are calculated in this paper. The results show that the apparent velocity dispersion in light fluid (low-viscosity)-saturated rocks is relatively small, usually less than 3% to 5%, whereas that in the same rocks saturated with heavy oil is much larger. Such apparent velocity dispersion can be well explained by the "local flow" mechanism, which relates dispersion to the viscosity of the pore fluid, the pore geometry of the rock, and the effective pressure and temperature. The Biot velocity dispersion calculated using the Gassmann equation and the Biot high-frequency limit of the velocities in the rocks is very small, typically less than 2%. Such Biot dispersion can be explained in terms of the Biot theory, which relates dispersion to the viscosity of the pore fluid and the permeability of the rock in a way that is just opposite to the local flow mechanism. According to either the local flow mechanism or the Biot theory, the temperature dependence of the compressional wave velocities in heavy-oil-saturated rocks in the seismic frequency band should be no less than that observed in the laboratory at 0.8-MHz frequency, which means that the laboratory results can be applied to the field as a basis for seismic monitoring of thermal floods.

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“…Although it has not been rigorously tested for all rocks, many observations show that the difference between the ultrasonic and low-frequency velocities of dry sandstones was normally within the typical experimental accuracy of about 1 percent (e.g., Peselnick and Outerbridge, 1961;Spencer, 1981;Murphy et al, 1984;Batzle et al, 2006).…”

Section: Velocity Dispersion Mechanisms and Fl Uid Viscositymentioning

confidence: 97%

Laboratory study of fluid viscosity induced ultrasonic velocity dispersion in reservoir sandstones

Zou

Pei

et al. 2010

Appl. Geophys.

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Ultrasonic velocities of a set of saturated sandstone samples were measured at simulated in-situ pressures in the laboratory. The samples were obtained from the W formation of the WXS Depression and covered low to nearly high porosity and permeability ranges. The brine and four different density oils were used as pore fl uids, which provided a good chance to investigate fluid viscosity-induced velocity dispersion. The analysis of experimental observations of velocity dispersion indicates that (1) the Biot model can explain most of the small discrepancy (about 2 -3%) between ultrasonic measurements and zero frequency Gassmann predictions for high porosity and permeability samples saturated by all the fl uids used in this experiment and is also valid for medium porosity and permeability samples saturated with low viscosity fluids (less than approximately 3 mP•S) and (2) the squirt flow mechanism dominates the low to medium porosity and permeability samples when fl uid viscosity increases and produces large velocity dispersions as high as about 8%. The microfracture aspect ratios were also estimated for the reservoir sandstones and applied to calculate the characteristic frequency of the squirt fl ow model, above which the Gassmann' s assumptions are violated and the measured high frequency velocities cannot be directly used for Gassmann's fluid replacement at the exploration seismic frequency band for W formation sandstones.

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Internal friction in shear and shear modulus of Solenhofen limestone over a frequency range of 10⁷cycles per second

Cited by 63 publications

References 7 publications

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹

Dispersion analysis of acoustic velocities in rocks

Laboratory study of fluid viscosity induced ultrasonic velocity dispersion in reservoir sandstones

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Internal friction in shear and shear modulus of Solenhofen limestone over a frequency range of 107cycles per second

Cited by 63 publications

References 7 publications

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling1

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling1

Dispersion analysis of acoustic velocities in rocks

Laboratory study of fluid viscosity induced ultrasonic velocity dispersion in reservoir sandstones

Contact Info

Product

Resources

About

Internal friction in shear and shear modulus of Solenhofen limestone over a frequency range of 10⁷cycles per second

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹

Ultrasonic wave propagation in dry and brine‐saturated sandstones as a function of effective stress: laboratory measurements and modelling¹