Note on Coussy’s Thermodynamical Definition of Fluid Pressure for Deformable Porous Media

The porochemoelectroelastic analytical models have been used to describe the response of chemically active and electrically charged saturated porous media such as clay soils, shales, and biological tissues. However, existing studies have ignored the anisotropic nature commonly observed on these porous media. In this work, the anisotropic porochemoelectroelastic theory is presented. Then, the solution for an inclined wellbore drilled in transversely isotropic shale formations subjected to anisotropic far-field stresses with time-dependent down-hole fluid pressure and fluid activity is derived. Numerical examples illustrating the combined effects of porochemoelectroelastic behavior and anisotropy on wellbore responses are also included. The analysis shows that ignoring either the porochemoelectroelastic effects or the formation anisotropy leads to inaccurate prediction of the near-wellbore pore pressure and effective stress distributions. Finally, wellbore responses during a leak-off test conducted soon after drilling are analyzed to demonstrate the versatility of the solution in simulating complex down-hole conditions.

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Invasion patterns during two-phase flow in deformable porous media

Frontiers in Physics ◽

10.3389/fphy.2015.00081 ◽

2015 ◽

Vol 3 ◽

Cited By ~ 14

Author(s):

Fredrik K. Eriksen ◽

Renaud Toussaint ◽

Knut J. Måløy ◽

Eirik G. Flekkøy

Keyword(s):

Porous Media ◽

Two Phase Flow ◽

Phase Flow ◽

Two Phase ◽

Deformable Porous Media ◽

Invasion Patterns

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A Review of Mixture Theory for Deformable Porous Media and Applications

Applied Sciences ◽

10.3390/app7090917 ◽

2017 ◽

Vol 7 (9) ◽

pp. 917 ◽

Cited By ~ 10

Author(s):

Javed Siddique ◽

Aftab Ahmed ◽

Asim Aziz ◽

Chaudry Khalique

Keyword(s):

Porous Media ◽

Mixture Theory ◽

Deformable Porous Media

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An Experimental Measurement of the Permeability of Deformable Porous Media

MRS Proceedings ◽

10.1557/proc-85-115 ◽

1986 ◽

Vol 85 ◽

Author(s):

A. Ambari ◽

B. Gauthier-Manuel ◽

E. Guyon

Keyword(s):

Porous Media ◽

Pore Structure ◽

Experimental Measurement ◽

Sol Gel ◽

Main Difficulty ◽

Present Measurement ◽

Deformable Porous Media ◽

Sol Gel Transition ◽

Differential Permeability ◽

Gel Transition

ABSTRACTKnowledge of the evolution of the permeability of cement throughout the course of hydration provides a suitable means to evaluate the evolution of the pore structure. The main difficulty is to measure permeability without disturbing the tenuous structure of the material at the beginning of the hydration. We have developed a differential permeability technique in which the applied flow is sufficiently weak that the structure of the medium is not disturbed. As an example of application of this technique we present measurement of the evolution of the critical permeability during a sol-gel transition.

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

International Journal of Modern Physics C ◽

10.1142/s0129183118500195 ◽

2018 ◽

Vol 29 (02) ◽

pp. 1850019 ◽

Cited By ~ 9

Author(s):

X.-H. Tan ◽

C.-Y. Liu ◽

X.-P. Li ◽

H.-Q. Wang ◽

H. Deng

Keyword(s):

Porous Media ◽

Fractal Dimension ◽

Fractal Theory ◽

Stress Sensitivity ◽

Maximum Diameter ◽

Proposed Model ◽

Fractal Parameters ◽

Stress Changes ◽

Capillary Bundle ◽

Definition Of

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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Modelling Turbulent Flow in Deformable Highly Porous Seabed and Structures

Volume 9: Offshore Geotechnics; Honoring Symposium for Professor Bernard Molin on Marine and Offshore Hydrodynamics ◽

10.1115/omae2018-77318 ◽

2018 ◽

Author(s):

Hisham Elsafti ◽

Hocine Oumeraci

Keyword(s):

Porous Media ◽

Transient Flow ◽

Stokes Equations ◽

Pore Fluid ◽

Navier Stokes ◽

Model Parameters ◽

Navier Stokes Equations ◽

Deformable Porous Media ◽

Physical Experiments ◽

Fluid Coupling

In this study, the fully-coupled and fully-dynamic Biot governing equations in the open-source geotechFoam solver are extended to account for pore fluid viscous stresses. Additionally, turbulent pore fluid flow in deformable porous media is modeled by means of the conventional eddy viscosity concept without the need to resolve all turbulence scales. A new approach is presented to account for porous media resistance to flow (solid-to-fluid coupling) by means of an effective viscosity, which accounts for tortuosity, grain shape and local turbulences induced by flow through porous media. The new model is compared to an implemented extended Darcy-Forchheimer model in the Navier-Stokes equations, which accounts for laminar, transitional, turbulent and transient flow regimes. Further, to account for skeleton deformation, the porosity and other model parameters are updated with regard to strain of geomaterials. The presented model is calibrated by means of available results of physical experiments of unidirectional and oscillatory flows.

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