Analytical study of mine closure behaviour in a poro-elastic medium

Wong, Hoi Shan; Morvan, Mathilde; Deleruyelle, F.; Leo, Chin Jian

doi:10.1016/j.compgeo.2007.11.003

Cited by 13 publications

(8 citation statements)

References 7 publications

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“…We will see shortly that the poro-visco-elastic solution will then tend to the limiting case of the poro-elastic solution previously studied [9].…”

Section: One-dimensional Poro-visco-elastic Problems Under Spherical mentioning

confidence: 96%

“…It is then straightforward to show that expressions (47)-(49) then fall back to the poro-elastic solution [9]. A second independent check is to find the asymptotic limits of (47)-(49) using a classic theorem in Laplace transform: lim s→0 s f (s) = lim t→∞ f (t).…”

Section: Consistency With Poro-elastic Behaviour and Asymptotic Limitsmentioning

confidence: 98%

“…The same notations as in our previous study [9] will be used, where m f = f and f are, respectively, the fluid mass content and fluid volume content, which are by definition quantities per initial unit volume of porous medium, and w f is the fluid mass flux. On account of the incompressible constituent assumption, we have [14]:…”

Section: Transport Equations Of Liquid Phasementioning

confidence: 99%

“…It is an extension of a previous study based on poro-elasticity theory [9]. The medium surrounding the cavity is initially in a hydrostatic stress state, the cavity convergence being opposed by an inner lining, in equilibrium with the surrounding saturated ground.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study of mine closure behaviour in a poro‐visco‐elastic medium

Wong

Morvan

Deleruyelle

et al. 2008

Num Anal Meth Geomechanics

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SUMMARYThis paper is interested in the hydro-mechanical behaviour of an underground cavity abandoned at the end of its service life. It is an extension of a previous study that accounted for a poro-elastic behaviour of the rock mass (Int. J. Comput. Geomech. 2007; DOI: 10.1016 DOI: 10. /j.compgeo.2007. Deterioration of the lining support with time leads to the transfer of the loading from the exterior massif to the interior backfill. The in situ material has a poro-visco-elastic constitutive behaviour while the backfill is poroelastic, both saturated with water. This loading transfer is accompanied by an inward cavity convergence, thereby compressing the backfill, and induces an outward water flow. This leads to a complex space-time evolution of pore pressures, displacements and stresses, which is not always intuitive. In its general setting, a semi-explicit solution to this problem is developed, using Laplace transform, the inversion being performed numerically. Analytical inversion leading to a quasi-explicit solution in the time domain is possible by identifying the characteristic creep and relaxation times of volumetric strains with those of the deviatoric strains, on the basis of a parametric study. A few numerical examples are given to illustrate the hydro-mechanical behaviour of the cavity and highlight the influence of key parameters (e.g. stiffness of backfill, lining deterioration rate, etc.). Further studies accounting for more general material behaviours for the backfill and external ground are ongoing.

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“…We will see shortly that the poro-visco-elastic solution will then tend to the limiting case of the poro-elastic solution previously studied [9].…”

Section: One-dimensional Poro-visco-elastic Problems Under Spherical mentioning

confidence: 96%

Section: Consistency With Poro-elastic Behaviour and Asymptotic Limitsmentioning

confidence: 98%

Section: Transport Equations Of Liquid Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical study of mine closure behaviour in a poro‐visco‐elastic medium

Wong

Morvan

Deleruyelle

et al. 2008

Num Anal Meth Geomechanics

Self Cite

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show abstract

“…These equations thus allow us to develop a set of governing equations which is applicable to the cavity closure problem. These equations are then solved with respect to the initial and boundary conditions for a spherical cavity to obtain a set of analytic solutions, of which a detailed discussion is given in Wong et al (2008).…”

Section: Example 2 -Poroelasticity: Closure Of a Spherical Cavitymentioning

confidence: 99%

Thermodynamics in Mono and Biphasic Continuum Mechanics

Wong¹,

Leo²,

Dufour³

2011

Thermodynamics - Systems in Equilibrium and Non-Equilibrium

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An unsaturated soil model with minimal number of parameters based on bounding surface plasticity

Morvan

Wong

Branque

2009

Num Anal Meth Geomechanics

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SUMMARYThis paper presents a constitutive model for unsaturated soils with only 13 parameters. Its development is based on the concept of bounding surface plasticity under a critical state framework. The definition of effective stress via an equivalent pore pressure and the introduction of suction effects into a general plastic hardening mechanism are inspired from the work of Pereira et al. (Ph.D. Thesis, 2005) and that of a few others. Despite the minimal number of parameters, this model can simulate correctly complex volumetric behaviour and post-peak softening, as well as a few other classic typical behaviours of unsaturated soils. The model is validated using experimental data both on saturated and unsaturated soils. Its efficiency has been highlighted by comparing its outputs with those from the Barcelona Basic Model and from another advanced model CJS-NS. The numerical studies revealed the necessity of additional experimental data for a more complete validation of the model and its future improvement.

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Analytical study of mine closure behaviour in a poro-elastic medium

Cited by 13 publications

References 7 publications

Analytical study of mine closure behaviour in a poro‐visco‐elastic medium

Analytical study of mine closure behaviour in a poro‐visco‐elastic medium

Thermodynamics in Mono and Biphasic Continuum Mechanics

An unsaturated soil model with minimal number of parameters based on bounding surface plasticity

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