Miscible and immiscible multiphase flow in deformable porous media

Klubertanz, G.; Bouchelaghem, F.; Laloui, Lyesse; Vulliet, L.

doi:10.1016/s0895-7177(03)00050-5

Cited by 18 publications

(13 citation statements)

References 3 publications

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“…The governing equations (5)- (8) are coupled differential equations that can be solved analytically by using the boundary conditions (9) and (10). The solid displacement, the fluid velocity and the temperature distribution are obtained as…”

Section: Flow Geometry and Governing Equationsmentioning

confidence: 99%

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Entropy Generation in Couette Flow Through a Deformable Porous Channel

Krishna¹,

Sreenadh

Srinivas

2019

Applied Mathematics and Nonlinear Sciences

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The present study examines the entropy generation on Couette flow of a viscous fluid in parallel plates filled with deformable porous medium. The fluid is injected into the porous channel perpendicular to the lower wall with a constant velocity and is sucked out of the upper wall with same velocity .The coupled phenomenon of the fluid flow and solid deformation in the porous medium is taken in to consideration. The exact expressions for the velocity of fluid, solid displacement and temperature distribution are found analytically. The effect of pertinent parameters on the fluid velocity, solid displacement and temperature profiles are discussed in detail. In the deformable porous layer, it is noticed that the velocity of fluid, solid displacement and temperature distribution are decreases with increasing the suction/injection velocity parameter. The results obtained for the present flow characteristic reveal several interesting behaviors that warrant further study on the deformable porous media. Furthermore, the significance of drag and the volume fraction on entropy generation number and Bejan number are discussed with the help of graphs.

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Section: Flow Geometry and Governing Equationsmentioning

confidence: 99%

“…Barry et al [7] investigated fluid flow over a thin deformable porous layer. Klubertanz et al [8] discussed multiphase flow in deformable porous media. Ranganatha and Siddagamma [9] investigated the flow of Newtonian fluid trough a deformable porous channel walls.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Krishna¹,

Sreenadh

Srinivas

2019

Applied Mathematics and Nonlinear Sciences

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“…Among them, the modelling of diffuse failure mechanism and the propagation of fast landslides are presented in Fernandez Merodo et al (2004), Pastor et al (2004a, b, c), respectively. An example dealing with an excavation problem is studied by Ehlers et al (2004) with a triphasic elasto‐plastic isothermal model; a three‐phasic elastic isothermal model was used in Klubertanz (1999) and Klubertanz et al (2003) to simulate a small‐scale slope stability test. An application of a water saturated model was done by Tacher et al (2005) to determine the pore pressure fields in La Frasse landslide mass (CH) during a crisis.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, a fully coupled, non‐isothermal and transient analysis is adopted and an application to the initiation of landslides due to capillary/water pressure variation is considered. To this end, a 2‐D partially saturated slope stability experiment (Klubertanz, 1999; Klubertanz, et al , 2003), is simulated by using the geometrically linear finite‐element code Comes–Geo (Lewis and Schrefler, 1998) for non‐isothermal elasto‐plastic multiphase solid porous materials as developed by Sanavia et al (2006).…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of a slope stability test by means of porous media mechanics

Sanavia

2009

Engineering Computations

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Purpose – The purpose of this paper is to present a finite-element analysis of the initiation of a slope failure in a small-scale laboratory test due to pore pressure variation. To this aim, a fully coupled multiphase model for saturated/partially saturated solid porous materials based on porous media mechanics is used. Design/methodology/approach – The slope is described as a three-phase deforming porous continuum where heat, water and gas flow are taken into account. The gas phase is modelled as an ideal gas composed of dry air and water vapour. Phase changes of water, heat transfer through conduction and convection and latent heat transfer are considered. The independent variables are: solid displacements, capillary pressure, gas pressure and temperature. The effective stress state is limited by Drucker-Prager yield surface for the sake of simplicity. Small strains and quasi-static loading conditions are assumed. Findings – The paper shows that the multiphase modelling is able to capture the main experimental observations such as the local failure zone at the onset of slope failure and the outflow appeared in that zone. It also allows understanding of the triggering mechanisms of the failure zone. Research limitations/implications – This work can be considered as a step towards a further development of a suitable numerical model for the simulation of non-isothermal geo-environmental engineering problems. Practical implications – The multiphysics approach looks promising for the analysis of the onset of landslides, provided that the constitutive models for the multiphase porous media in saturated/unsaturated conditions and the related mechanical and hydraulic properties are described with sufficient accuracy. Originality/value – Elasto-plastic thermo-hydro-mechanical modelling of the initiation of slope failure subjected to variation in pore pressure boundary condition

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“…More recently and based on Hassanizadeh and Gray [6,7,8], environmental geomechanics topics were faced by Schrefler [21], among some others. Klubertantz et al [10] worked on models with miscible and immiscible pore fluids, addressing domains of applicability for each case.…”

Section: Introductionmentioning

confidence: 99%

A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils

Rado

Beneyto²,

Mroginski³

et al. 2015

AJAM

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The main scope of this paper is to present an alternative to tackle the problem of the non symmetries arising in the solution of the nonlinear couple consolidation problem based on a combination of different stress states. Being originally a non symmetric problem, it may be straightforward reduced to a symmetric one, and the conditions in which this reduction may be carried out, are addressed. Non linear saturation-suction and permeability-suction functions were regarded. The geometric model was developed considering an updated lagrangian description with a co-rotated Kirchhoff stress tensor. This description leads to a non-symmetric stiffness matrix and a simple alternative, using a symmetric constitutive matrix, is addressed to overcome this situation. The whole equation system was solved using an open finite element code FECCUND, developed by the authors. In order to validate the model, various examples, for which previous solutions are known, were solved. The use of either a strongly non linear and no symmetric formulation or a simple symmetric formulation with accurate prediction in deformation and pore-pressures is extremely dependent on the soil characteristic curves and on the shear efforts level, as well. A numerical example show the predictive capability of this geometrically non linear fully coupled model for attaining the proposed goal.

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Miscible and immiscible multiphase flow in deformable porous media

Cited by 18 publications

References 3 publications

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Numerical modelling of a slope stability test by means of porous media mechanics

A Strategy for Solving the Non Symmetries Arising in Nonlinear Consolidation of Partially Saturated Soils

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