Thermoporoelastic response of a fluid-saturated porous sphere: An analytical solution

Belotserkovets, Anastasia; Prévost, Jean‐Hérve

doi:10.1016/j.ijengsci.2011.05.017

Cited by 25 publications

(16 citation statements)

References 7 publications

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“…In the case of compressible phases, the equation (3.5) will be coupled with the fluid pressure (Belotserkovets & Prevost 2011). The temperature satisfies the heat conduction equation…”

Section: Analysis Of the Thermo-poro-elastic Spherementioning

confidence: 99%

“…Similar studies were conducted by Rehbinder (1995), who considered problems with cylindrical and spherical symmetries, and the stationary solutions for the nonlinear thermo-poroelastic problem were obtained using a perturbation technique. Belotserkovets & Prevost (2011) studied the transient response of a thermo-poro-elastic sphere subjected to an applied radial stress. The goal of their studies was to characterize the influence of the applied stress on the change in the temperature within the sphere.…”

Section: Introductionmentioning

confidence: 99%

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Boundary heating of poro-elastic and poro-elasto-plastic spheres

Selvadurai

Suvorov

2012

Proc. R. Soc. A.

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This paper examines the coupled hydro-thermo-mechanical behaviour of a fluid-saturated porous sphere with a skeletal fabric that can exhibit either elastic or elasto-plastic mechanical behaviour. Analytical results for the thermo-poro-elastic response of the sphere subjected to transient heat transfer are complemented by computational results for the analogous thermo-poro-elasto-plastic problem. The results presented in the paper examine the influence of the permeability, thermal expansion properties of the pore fluid and the skeleton, and the elasto-plasticity effects of the porous skeleton on the time-dependent pore fluid pressure, displacement and stress within the sphere.

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“…In the case of compressible phases, the equation (3.5) will be coupled with the fluid pressure (Belotserkovets & Prevost 2011). The temperature satisfies the heat conduction equation…”

Section: Analysis Of the Thermo-poro-elastic Spherementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Boundary heating of poro-elastic and poro-elasto-plastic spheres

Selvadurai

Suvorov

2012

Proc. R. Soc. A.

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“…The mobility, k , is defined as k = k s / μ f = k p e r m / ρ f g , in which k s is the intrinsic permeability, μ f is the fluid viscosity, k p e r m is the permeability or hydraulic conductivity, and g is the gravity acceleration. Furthermore, T 0 is the reference temperature as defined in . β is calculated as β = 3 α s K , in which α s is the linear thermal expansion coefficient of solid, and K is the bulk modulus.…”

Section: Stability and Dispersion Analysesmentioning

confidence: 99%

Wave propagation and strain localization in a fully saturated softening porous medium under the non‐isothermal conditions

Sun

2016

Int. J. Numer. Anal. Meth. Geomech.

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Summary The (THM) coupling effects on the dynamic wave propagation and strain localization in a fully saturated softening porous medium are analyzed. The characteristic polynomial corresponding to the governing equations of the THM system is derived, and the stability analysis is conducted to determine the necessary conditions for stability in both non‐isothermal and adiabatic cases. The result from the dispersion analysis based on the Abel–Ruffini theorem reveals that the roots of the characteristic polynomial for the THM problem cannot be expressed algebraically. Meanwhile, the dispersion analysis on the adiabatic case leads to a new analytical expression of the internal length scale. Our limit analysis on the phase velocity for the non‐isothermal case indicates that the internal length scale for the non‐isothermal THM system may vanish at the short wavelength limit. This result leads to the conclusion that the rate‐dependence introduced by multiphysical coupling may not regularize the THM governing equations when softening occurs. Numerical experiments are used to verify the results from the stability and dispersion analyses. Copyright © 2016 John Wiley & Sons, Ltd.

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“…It should be noted that in terms of analytical solutions for vacuum termination, there are only limited documented solutions in the literature, attributed to inspiring works of Pariseau (1999), Belotserkovets and Prevost (2011) and Suvorov (2012, 2014) , which may be considered to extend the Biot type models to reflect the role of unloading due to vacuum termination.…”

Section: Optimum Time For the Termination Of Vacuummentioning

confidence: 99%

Analytical solution and numerical simulation of vacuum consolidation by vertical drains beneath circular embankments

Indraratna

Kan

Potts

et al. 2016

Computers and Geotechnics

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This paper presents an analytical solution and numerical simulation of vacuum consolidation beneath a circular loading area (e.g. circular oil tanks or silos). The discrete system of vertical drains is substituted by continuous concentric rings of equivalent drain walls. The effectiveness of the vacuum as distributed along the drain length and the well resistance of the drains are considered. A rigorous solution of radial drainage towards cylindrical drain walls is presented and compared to numerical FEM predictions. The model is then successfully adopted to analyse the vacuum consolidation of a circular embankment in the Ballina field testing facility in Australia. Disciplines Engineering | Science and Technology Studies

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Thermoporoelastic response of a fluid-saturated porous sphere: An analytical solution

Cited by 25 publications

References 7 publications

Boundary heating of poro-elastic and poro-elasto-plastic spheres

Boundary heating of poro-elastic and poro-elasto-plastic spheres

Wave propagation and strain localization in a fully saturated softening porous medium under the non‐isothermal conditions

Analytical solution and numerical simulation of vacuum consolidation by vertical drains beneath circular embankments

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