The biot drag and virtual mass coefficients for face centered cubic granular materials

Yavari, B.; Bedford, A.

doi:10.1016/0301-9322(90)90010-g

Cited by 6 publications

(2 citation statements)

References 22 publications

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“…At low frequencies, the flow is dominated by viscous forces whereas, at high frequencies, the inertial forces are more important (AURIAULT et al, 1985;JOHNSON et al, 1987). A striking feature uncovered by recent theoretical, experimental and numerical studies, is that all examined porous materials have the same behavior in these two domains (JOHNSON et al, 1987;SHENG and ZHOU, 1988;CHARLAIX et al, 1988;ZHOU and SHENG, 1989;JOHNSON, 1989;YAVARI and BEDFORD, 1990;SMEULDERS et al, 1992;CHAPMAN and HIGDON, 1992;ACHDOU and AVELLANEDA, 1992;PRIDE et al, 1993). Namely, for decreasing to zero, the real part of k() asymptotically approaches the steady-state value k 0 while the imaginary part decreases as .…”

Section: Introductionmentioning

confidence: 74%

The Frequency Dependence of Harmonic Fluid Flow Through Networks of Cracks and Pores

Bernabé

1997

Pure and Applied Geophysics

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The ''dynamic'' permeability k() of heterogeneous networks of cracks, tubes and spheres, was determined by numerically simulating the harmonic flow of an interstitial fluid for a wide range of frequencies. For comparison with previous works, this procedure was applied to the 100 network realizations used in BERNABÉ (1995). In most cases, the calculated frequency dependence of the real and imaginary parts of k() was consistent with the JKD model (JOHNSON et al., 1987), showing a transition from ''viscous'', macroscopic flow at low frequencies to ''inertial'' flow at high frequencies.The viscous skin depth l c at the transition was found to be proportional to the critical capillary radius r c from a capillary invasion (KATZ and THOMPSON, 1986). A simple explanation is that these two length scales arise from the same percolation problem. On the other hand, l c was not well correlated with the JKD parameter L. The conclusion is that L and l c (or r c ) are two independent parameters, derived from two unrelated approaches (i.e., weighted averaging and percolation theory). Finally, an attempt was made to relax the initial assumptions of a rigid solid matrix and an incompressible fluid. It was observed that the effect of the fluid compressibility could occasionally be very large, especially when networks with large amounts of storage pore space were considered.

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Section: Introductionmentioning

confidence: 74%

The Frequency Dependence of Harmonic Fluid Flow Through Networks of Cracks and Pores

Bernabé

1997

Pure and Applied Geophysics

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“…The assumption that there exists only one scaling function for all porous media was validated in later years, both numerically and experimentally. Numerical computations of the dynamic permeability for a variety of microstructures were presented by Sheng & Zhou (1988) and Yavari & Bedford (1990). Experimental data were obtained by .…”

Section: ( 5 ) W+wmentioning

confidence: 99%

Dynamic permeability: reformulation of theory and new experimental and numerical data

1992

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The dynamic interaction between a rigid porous structure (porosity ϕ) and its saturating fluid is studied. From the microscopic conservation laws and constitutive relations, macroscopic equations are derived. An averaging technique proposed and discussed by for example Lévy, Auriault and Burridge & Keller is used, from which we reformulate the theory by Johnson, Koplik & Dashen. The macroscopic equations then serve to describe the high-frequency behaviour of an oscillating fluid within a porous sample. This behaviour may be characterized by the length parameter Λ and by the tortuosity parameter α∞. It is shown that Λ and α∞, which describe an oscillatory flow behaviour, may be evaluated on the basis of steady potential flow theory. Numerical results are then presented for several pore geometries, and for these geometries, the steady-state permeability k0 is computed numerically also. The parameter 8α∞ k0/ϕΛ2, first introduced by Johnson et al., is then evaluated and appears to be weakly dependent on pore geometry. This implies that for many porous media the dynamic interaction is described by an approximate scaling function. New experimental data, concerning oscillating flows through several porous media, are presented. Within limits of accuracy, these data are in agreement with the approximate scaling function.

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Differential equations governing slip-induced pore-pressure fluctuations in a water-saturated granular medium

Iverson

1993

Math Geol

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The biot drag and virtual mass coefficients for face centered cubic granular materials

Cited by 6 publications

References 22 publications

The Frequency Dependence of Harmonic Fluid Flow Through Networks of Cracks and Pores

The Frequency Dependence of Harmonic Fluid Flow Through Networks of Cracks and Pores

Dynamic permeability: reformulation of theory and new experimental and numerical data

Differential equations governing slip-induced pore-pressure fluctuations in a water-saturated granular medium

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