A fully coupled model for water flow and airflow in deformable porous media

Schrefler, Bernhard A.; Zhan, Xiaohong

doi:10.1029/92wr01737

Cited by 164 publications

(75 citation statements)

References 24 publications

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“…The residual degree of saturation is set to S r ¼ 1%: The mechanical parameters of Del Monte sand used by Liakopoulos are unfortunately unpublished and unknown to us. We chose those proposed by Schrefler and Zhan [36] based on a trial and error technique.…”

Section: Experimental Test: Drainage Of a Sand Columnmentioning

confidence: 99%

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Solid–liquid–air coupling in multiphase porous media

Laloui¹,

Klubertanz²,

Vulliet³

2003

Num Anal Meth Geomechanics

113

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SUMMARYThis paper addresses various issues concerning the modelling of solid-liquid-air coupling in multiphase porous media with an application to unsaturated soils. General considerations based on thermodynamics permit the derivation and discussion of the general form of field equations; two cases are considered: a three phase porous material with solid, liquid and gas, and a two phase porous material with solid, liquid and empty space. Emphasis is placed on the presentation of differences in the formulation and on the role of the gas phase. The finite element method is used for the discrete approximation of the partial differential equations governing the problem. The two formulations are then analysed with respect to a documented drainage experiment carried out by the authors. The merits and shortcomings of the two approaches are shown.

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Section: Experimental Test: Drainage Of a Sand Columnmentioning

confidence: 99%

“…The Liakopoulos drainage experiment was simulated by various authors with different approaches [37][38][39]36] to check their numerical models.…”

Section: Comparison Between Experiments and Modellingmentioning

confidence: 99%

Solid–liquid–air coupling in multiphase porous media

Laloui¹,

Klubertanz²,

Vulliet³

2003

Num Anal Meth Geomechanics

113

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“…A fully coupled model for both water¯ow and air¯ow in a deformable porous medium has also been studied by Schre¯er and Zhan. 7 The model has been extended by Schre¯er et al 8 to incorporate immiscible pollutant transport problems, and solutions are obtained by considering subsets of the whole group of governing equations.…”

Section: Introductionmentioning

confidence: 99%

A finite element analysis of multiphase immiscible flow in deforming porous media for subsurface systems

Lewis

Schrefler

Rahman

1998

Commun. Numer. Meth. Engng.

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SUMMARYA fully coupled numerical model has been developed which describes multiphase¯uid¯ow through soil: namely gas, water and a non-aqueous phase liquid (NAPL) in a deforming porous media for subsurface systems. A multiphase¯ow model, based on the two-phase¯ow model of Brooks and Corey, is presented to express the dependence of saturation and relative permeability on the capillary pressure. Non-linear saturation and relative permeability functions are incorporated into a Galerkin ®nite element model which is subsequently used to simulate multiphase immiscible¯uid¯ow under saturated and unsaturated conditions in porous media. The governing partial dierential equations, in terms of soil displacements and¯uid pressures, which are coupled and non-linear, are solved by the ®nite element method. Numerical implementation of the formulation is discussed, and example problems demonstrate the model and solution procedure. #

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“…This approach provides an ideal framework for multiphasic and multicomponent continua including arbitrary solid deformations based on elasticity, viscoelasticity, or elastoplasticity, as well as an arbitrary pore content of either miscible or immiscible fluids, liquids and gases. The reader who is interested in the basics of the TPM is referred, for example, to the publications of de Boer (2000), de Boer and Ehlers (1986), Bowen (1980Bowen ( , 1982, Ehlers (1991Ehlers ( , 1989Ehlers ( , 2002, Ehlers et al (2004), Wieners et al (2005), Ehlers and Graf (2007), Ehlers (2009) or Schrefler and Zhan (1993), Schrefler and Scotta (2001), and citations therein.…”

Section: Introductionmentioning

confidence: 99%

Interfacial Mass Transfer During Gas–Liquid Phase Change in Deformable Porous Media with Heat Transfer

Ehlers

Häberle

2016

Transp Porous Med

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Transitions between liquid and gaseous phases of a fluid material are characterised by a jump in density and the coexistence of both phases during the phase change process. The jump occurs at the interface between the fluid phases and can be handled numerically by the introduction of a singular surface. This allows for a thermodynamically consistent description of mass transfer across the interface and the transition of the interfacial term towards the mass production term included in the mass balance equations. In the present article, a multicomponent and multiphasic porous aggregate is treated in a non-isothermal environment, while accounting for the thermodynamics of the fluid-phase transitions. Based on the Theory of Porous Media, this approach provides a well-founded continuum mechanical basis for the description of deformable, fluid-saturated porous solid aggregates. In particular, a bicomponent, triphasic model is proposed consisting of a thermoelastic porous solid, which is percolated by compressible gaseous and liquid fluid phases. The thermodynamical behaviour, i.e. the dependency of the fluid densities on temperature and pressure, is governed by the van der Waals equation of state and the Antoine equation for the vaporisation-condensation line. Moreover, the interface between the fluid phases is represented by a singular surface and results in jump conditions included in the balance relations of the components of the overall aggregate. The evaluation of the jump conditions leads to a formulation of the interfacial mass transfer, which basically relates the energy added to the system to the latent heat needed for the phase change in a certain amount of a substance. The mass transfer itself or the mass production, respectively, furthermore depends on interfacial areas introduced as a function of

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A fully coupled model for water flow and airflow in deformable porous media

Cited by 164 publications

References 24 publications

Solid–liquid–air coupling in multiphase porous media

Solid–liquid–air coupling in multiphase porous media

A finite element analysis of multiphase immiscible flow in deforming porous media for subsurface systems

Interfacial Mass Transfer During Gas–Liquid Phase Change in Deformable Porous Media with Heat Transfer

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