Elastic-wave velocities for porous media with power-law distribution of pore sizes

Kupková, Miriam; Kupka, Martin

doi:10.1007/s005310050127

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…(13) In Eqs. (12) and (13), the experimental parameters c 10 and c 11 are determined by fitting to experimental data.…”

Section: Introductionmentioning

confidence: 97%

“…Kupková and Kupka [13] calculated the velocities of waves propagating through a system, which consisted of an elastic matrix with randomly distributed pores of uniform shapes with sizes governed by a power-law distribution. J. Larsson and R. Larsson, [14] researched the problem of coupled deformation and fluid diffusion in porous media based on the elastic-plastic solid theory.…”

Section: Introductionmentioning

confidence: 99%

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Study of the effects of stress sensitivity on the permeability and porosity of fractal porous media

Tan

Liu

et al. 2015

Physics Letters A

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“…(13) In Eqs. (12) and (13), the experimental parameters c 10 and c 11 are determined by fitting to experimental data.…”

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Study of the effects of stress sensitivity on the permeability and porosity of fractal porous media

Tan

Liu

et al. 2015

Physics Letters A

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A stress sensitivity model for the permeability of porous media based on bi-dispersed fractal theory

Tan

Liu

et al. 2018

Int. J. Mod. Phys. C

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A stress sensitivity model for the permeability of porous media based on bidispersed fractal theory is established, considering the change of the flow path, the fractal geometry approach and the mechanics of porous media. It is noted that the two fractal parameters of the porous media construction perform differently when the stress changes. The tortuosity fractal dimension of solid cluster [Formula: see text] become bigger with an increase of stress. However, the pore fractal dimension of solid cluster [Formula: see text] and capillary bundle [Formula: see text] remains the same with an increase of stress. The definition of normalized permeability is introduced for the analyzation of the impacts of stress sensitivity on permeability. The normalized permeability is related to solid cluster tortuosity dimension, pore fractal dimension, solid cluster maximum diameter, Young’s modulus and Poisson’s ratio. Every parameter has clear physical meaning without the use of empirical constants. Predictions of permeability of the model is accordant with the obtained experimental data. Thus, the proposed model can precisely depict the flow of fluid in porous media under stress.

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Elastic-wave velocities for porous media with power-law distribution of pore sizes

Cited by 2 publications

References 8 publications

Study of the effects of stress sensitivity on the permeability and porosity of fractal porous media

Study of the effects of stress sensitivity on the permeability and porosity of fractal porous media

A stress sensitivity model for the permeability of porous media based on bi-dispersed fractal theory

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