Acoustic Attenuation in Self-Affine Porous Structures

Pride, Steven R.; Masson, Yder

doi:10.1103/physrevlett.97.184301

Cited by 28 publications

(25 citation statements)

References 17 publications

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“…Finally, at low enough frequencies, there is a transition to a Q −1 / w dependence. This effect was explained in detail by Pride and Masson [2006] and is due to the diffusion skin depth at low enough frequencies being larger than the finite size of the sample.…”

Section: Attenuation Due To Spatial Fluctuations In the Fluid Saturatmentioning

confidence: 99%

“…[23] Pride and Masson [2006] have shown that when the distribution of the local Biot's coupling incompressibility C (defined in the next paragraph) is a self-affine fractal characterized by a Hurst exponent H, the attenuation Q −1 (w) is related to circular frequency w by the power law scaling…”

Section: Attenuation Due To Spatial Fluctuations In the Fluid Saturatmentioning

confidence: 99%

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Seismic attenuation due to patchy saturation

Masson

Pride

2011

J. Geophys. Res.

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[1] In porous rocks saturated in patches by two immiscible fluids, seismic compression causes the fluid with the larger bulk modulus to respond with a larger change in fluid pressure than the fluid with the smaller bulk modulus which results in fluid movement and seismic attenuation. For virtual rock samples having fluid distributions obtained using the invasion percolation model, attenuation is determined using finite difference numerical experiments based on the laws of poroelasticity. Analytical models are also proposed to explain the numerical results. When oil invades water, the equilibration is controlled by the geometry of the invading oil which has a narrow range of small diffusion lengths resulting in a single relaxation frequency at high frequencies and not much seismic band attenuation. When water invades oil, the defending oil controls the equilibration, and a power law emerges for how attenuation varies with frequency due to the fractal nature of how saturation is varying with scale in the defending oil. For air invading water, the geometry of the defending water controls the equilibration, and a large amount of attenuation is observed over a wide range of frequencies including the seismic band due to the wide range in water patch sizes. However, when water invades air, the narrow fingers of invading water control the equilibration, and there is a single relaxation frequency at high frequencies that does not result in much seismic band attenuation.

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Section: Attenuation Due To Spatial Fluctuations In the Fluid Saturatmentioning

confidence: 99%

Section: Attenuation Due To Spatial Fluctuations In the Fluid Saturatmentioning

confidence: 99%

Seismic attenuation due to patchy saturation

Masson

Pride

2011

J. Geophys. Res.

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“…Pride et al (2004) used a double-porosity model to describe inhomogeneous pore distribution, patchy saturation, and squirt fl ow mechanism and disproved the microscopicheterogeneity-caused squirt flow mechanism's applicability in low frequency band problems. Based on the most recent numerical experiments by Pride et al in 2006, it is pointed out a quantitative relation H Q tanh Z v between attenuation characteristics and wave frequency exists in the universal self-affine fractal porous rocks (Pride and Masson, 2006). It shows that there are some certain intrinsic relations among frequency, scale, and attenuation in actual rocks.…”

Section: Introductionmentioning

confidence: 98%

Double-porosity rock model and squirt flow in the laboratory frequency band

Cao

Yao

et al. 2008

Appl. Geophys.

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Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations, analytically derive the degeneration method for double-porosity's return to BISQ, and give three necessary conditions which the degeneration must satisfy. By introducing dynamic permeability and tortuosity theory, a full set of dynamic double-porosity wave equations are derived. A narrow band approximation is made to simplify the numerical simulation for dynamic double-porosity wavefi elds. Finally, the pseudo-spectral method is used for wave simulation within the laboratory frequency band (50 kHz). Numerical results have proved the feasibility for dynamic double-porosity's description of squirt fl ow and the validity of the quasi-static approximation method.

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“…Such features provide a link between fluid-transport properties and seismic wave signatures 29 and make it possible to identify the fluid-saturated formations in shale gas, geothermal formations, and oil reservoirs.…”

Section: Basic Equations and Methodsmentioning

confidence: 99%

Propagation of pore pressure diffusion waves in saturated dual-porosity media (II)

Yang

Zhang

2016

Journal of Applied Physics

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A mechanism has been established for pressure diffusion waves in dual-porosity media. Pressure diffusion waves are heavily damped with relatively low velocities and short wavelengths. The characteristic frequency dominates the attenuation behavior of pressure diffusions and separates wave fields into two asymptotic regimes: relaxed and unrelaxed. Characteristic delay times control the pressure diffusion between the matrix and the fractures. The transition zones in wavelength and attenuation peak shift toward high frequencies when the characteristic delay time decreases. In contrast, the transition zones in both phase and group velocity shift toward low frequencies as the characteristic time of the delay increases. In a spatially dependent diffusivity field, the pressure diffusion waves in dual-porosity media obey an accumulation-depletion law.

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Acoustic Attenuation in Self-Affine Porous Structures

Cited by 28 publications

References 17 publications

Seismic attenuation due to patchy saturation

Seismic attenuation due to patchy saturation

Double-porosity rock model and squirt flow in the laboratory frequency band

Propagation of pore pressure diffusion waves in saturated dual-porosity media (II)

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