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Comparative review of theoretical models for elastic wave attenuation and dispersion in partially saturated rocks

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TLDR
In this paper, the effect of random distributions of mesoscopic fluid heterogeneities on the attenuation and dispersion of wave-induced fluid flow has been studied in the frequency range from 10 to 1000 Hz.
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This article is published in Soil Dynamics and Earthquake Engineering.The article was published on 2006-06-01 and is currently open access. It has received 114 citations till now. The article focuses on the topics: Attenuation & Fluid dynamics.

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Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks — A review

TL;DR: In this article, the wave-induced flow between mesoscopic inhomogeneities has been identified as a major cause of elastic wave attenuation in heterogeneous porous media, and several models for attenuation and velocity dispersion have been developed with varying degrees of rigor and complexity.

Theory of Frequency Dependent Acoustics in Patchy-Saturated Porous Media

TL;DR: The theory of the dynamic bulk modulus, K(ω), of a porous rock whose saturation occurs in patches of 100% saturation each of two different fluids, is developed within the context of the quasi-static Biot theory as discussed by the authors.

Effect of brine-gas mixture on velocity in an unconsolidated sand reservoir. [Laboratory velocity measurements in unconsolidated sand at various brine saturations]

S.N. Domenico
TL;DR: In this article, the authors demonstrate that the measured and theoretical velocities at high brine saturation indicate that the technique for partially saturating the sand specimen by flowing a gas-brine mixture through the specimen does not provide a sufficiently uniform distribution.
Journal ArticleDOI

Quasi-static finite element modeling of seismic attenuation and dispersion due to wave-induced fluid flow in poroelastic media

TL;DR: In this article, a quasi-static creep test with mesoscopic-scale heterogeneities is proposed to calculate the complex and frequency-dependent P wave moduli from the modeled stress-strain relations.
Journal ArticleDOI

Rock anelasticity due to patchy saturation and fabric heterogeneity: A double double-porosity model of wave propagation

TL;DR: In this paper, a double double-porosity model is introduced to model the wave effects (attenuation and velocity dispersion), where pores saturated with two different fluids overlap with pores having dissimilar compressibilities.
References
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Journal ArticleDOI

Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range

TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.
Journal ArticleDOI

Elastic properties of reinforced solids: some theoretical principles

TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Journal ArticleDOI

Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range

TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.
Journal ArticleDOI

Mechanics of deformation and acoustic propagation in porous media

TL;DR: In this paper, a unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived, including anisotropic media, solid dissipation, and other relaxation effects.
Book

Random Heterogeneous Materials: Microstructure and Macroscopic Properties

TL;DR: In this article, a unified approach for the characterization of 2-dimensional (2-3D) moduli is presented. But the approach is not suitable for 3-dimensional moduli.
Related Papers (5)
Frequently Asked Questions (15)
Q1. What are the contributions in "Comparative review of theoretical models for elastic wave attenuation and dispersion in partially saturated rocks" ?

In this paper, the authors present a review of the literature on seismic wave propagation in partially saturated porous media. 

However, further research is required to relate the parameters of natural fluid distributions ( both in the laboratory and field experiments ) to the parameters of random functions used in the model. 

Fluid flow between phases is assumed to be proportional to the pressure difference, where the proportionality coefficient is frequency dependent. 

Wave attenuation and phase velocity dispersion within Biot type media is caused by global or macroscopic fluid flow, which is called “Biot loss”. 

Partial fluid saturation of porous rock by multiple types of pore fluids was first proposed as a cause for the mismatch between experimental measurements of attenuation and phase velocity dispersion, and theoretical predictions given by Biot theory [1-3]. 

The frequency dependency of wave velocity and attenuation in a partially saturated medium is controlled by the size, shape and spatial distribution of fluid pockets and permeability and elastic moduli of the solid matrix as well as the properties of the two fluids. 

the same physics which dictates fluid distribution on the pore scale, such as minimization of interfacial surface area, between grains and fluids, and fluids and fluids will also determine fluid distribution on the mesoscale. 

Since then, the study of elastic wave propagation in partially fluid saturated media has become a field of interest in its own right, generating a number of experimental [25,33- 35], numerical [37-41] and theoretical studies designed to elucidate key features, which cause attenuation and phase velocity dispersion. 

Providing the weak scattering conditions are met, there is good agreement between attenuation and phase velocity estimates for periodic and random distributions of fluid inclusions. 

Providing the weak scattering conditions are met, there is good agreement between attenuation and phase velocity estimates for periodic and random distributions of fluid inclusions. 

Central to the double-porosity dual-permeability theory is a model for fluid transport between two poroelastic phases when induced fluid pressures are different. 

Central to the double-porosity dual-permeability theory is a model for fluid transport between two poroelastic phases when induced fluid pressures are different. 

In this case the first bracketed term in the right-hand side of (3) can be neglected [19] and the dynamic permeability reduces to the steady-state permeability κ , givingκω ηiq = . 

Depending on the size of fluid clusters these gradients may occur on the pore scale or on the mesoscale (a scale that is larger than the pore size but smaller than wavelength scale). 

shows that the attenuation behaviour of periodic andrandom distributions of fluid inclusions is proportional to ω for low frequencies andproportional to 21−ω for high frequencies.