Hydro-mechanical aspects of the sand production problem

Vardoulakis, I.; Stavropoulou, Maria; Papanastasiou, Panos

doi:10.1007/bf01143517

Cited by 259 publications

(182 citation statements)

References 8 publications

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“…Several models for surface erosion of cohesive soils under axial and radial flow conditions have been proposed in the literature (Vardoulakis et al, 1996;Vardoulakis et al, 2001;Foster et al, 2001;Wan et al, 2004a;Wang et al, 2004;Papamichos et al, 2005). We describe here two models of flow erosion, designed respectively for flows parallel and normal to the surface that is being eroded.…”

Section: Modeling Of Erosionmentioning

confidence: 99%

“…Following (Vardoulakis et al, 1996;Wang et al, 2004), we get a linear relation between the rate of erosion per surface area and the norm of the gradient of the hydraulic head ∇h, or the fluid velocity v, in the form…”

Section: Modeling Of Erosionmentioning

confidence: 99%

“…The former type of model appears much more often, due to its importance in the creation of gullies and rills, which is an important issue for agriculture in particular (see (Knapen et al, 2007) for a general review). Models dealing with the erosion of a surface under a normal flow are more scarce, and related to problems of the oil industry (Vardoulakis et al, 1996;Vardoulakis et al, 2001). Note that in all the models we discuss here, sedimentation and deposition processes are neglected, and the flows are assumed to be dilute.…”

Section: Modeling Of Erosionmentioning

confidence: 99%

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Numerical modeling of erosion using an improvement of the extended finite element method

Cottereau¹,

Dı́ez²

2011

EJECE

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ABSTRACT. We present in this paper a numerical model of the erosion of a soil that accounts for both the flow in the open fluid and the flow of fluid through the porous soil. The interface between the open fluid and the soil is represented using a level-set function, and the erosion is controlled by the shear stress vector. The evaluation of the approximate value of this gradient is particularly focused on, and an improved method, called XFE+ method, is presented. Numerical results in 2D and 3D illustrate the accuracy and the potentiality of this method.RÉSUMÉ. Cet article décrit un modèle numérique d'érosion du sol, qui prend en compte à la fois le fluide dans le sol, considéré comme un milieu poreux, et le fluide extérieur. L'interface entre les deux milieux est représentée à l'aide d'une fonction level-set, et l'érosion est contrôlée par le gradient de la vitesse du fluide. Nous nous concentrons particulièrement sur l'évaluation numérique de ce gradient, et introduisons une méthode, appelée méthode XFE+, pour l'améliorer. Des résultats numériques en 2D et 3D montrent la précision et les potentialités de cette mé-thode.

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Section: Modeling Of Erosionmentioning

confidence: 99%

Section: Modeling Of Erosionmentioning

confidence: 99%

Section: Modeling Of Erosionmentioning

confidence: 99%

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Numerical modeling of erosion using an improvement of the extended finite element method

Cottereau¹,

Dı́ez²

2011

EJECE

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“…In the case of an erosion taking place along the axis of the flow, it is not reasonable to use the shear stress as a controlling parameter for erosion. Following [26], and simplifying the model described there because we are only interested in the erosion at the interface between the cavity and the soil, we get a linear relation between the rate of erosion per surface area and the norm of the Darcy flow q n = K s ∇h, which leads to…”

Section: Erosion Due To a Flowmentioning

confidence: 99%

“…In the literature, the former type of model appears much more often, due to its importance in the creation of gullies and rills, which is an important issue for agriculture in particular (see [25] for a general review). Models dealing with the erosion of a surface under a normal flow are more scarce, and related to problems of the oil industry [26,27].…”

Section: Erosion Due To a Flowmentioning

confidence: 99%

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

2009

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This paper builds on the flexibility of the level-set representation to model in a unified manner the expansion of a hollow in the ground under different physical phenomena. In particular, the dissolving action of a flow of water in a saturated soil, and that of a jet of particles of water in a nonsaturated one, are represented in a common framework. In that manner, the complex geometrical evolutions of the hollow can be followed without the need for remeshing and this approach allows for a smooth transition between saturated and non-saturated models of the soil. Implementation and numerical difficulties are discussed and two applications of industrial interest are considered. The first one describes the modeling of the piping phenomenon, and the second one the evolution of an excavation created by a leaking duct.

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Coupled wellbore erosion and stability analysis

Stavropoulou

Papanastasiou

Vardoulakis

1998

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

Self Cite

106

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SUMMARYThis paper extends earlier work on sand erosion and presents an attempt to couple sand erosion to mechanical damage of rock around a wellbore. Porosity which evolves in time and space as surface erosion progresses, is chosen as the coupling parameter. Both rock elasticity and strength (cohesion) are assumed to depend on porosity in such a way that the material becomes weaker with increasing porosity. The mathematical model, consists of erosion equations, mixture flow equations and stress equilibrium equations, is solved numerically by Galerkin finite element method. Numerical results suggest that erosion, resulting in sand production, is high close to the free surface. Erosion is accompained by changes in porosity and a significant permeability increase. Erosion in the vicinity of the wellbore induces alterations in the mechanical behaviour of the medium. Weakening of rock stiffness leads to severe alteration of both effective stresses and pore pressure near the cavity. Since cohesion decreases with increasing porosity, one can also identify the time instant at which rock mechanical failure starts.1998 John Wiley & Sons, Ltd.

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Hydro-mechanical aspects of the sand production problem

Cited by 259 publications

References 8 publications

Numerical modeling of erosion using an improvement of the extended finite element method

Numerical modeling of erosion using an improvement of the extended finite element method

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

Coupled wellbore erosion and stability analysis

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