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

Régis Cottereau (1) , Pedro Diez (2) , Antonio Huerta (2)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
2 LaCàN - Laboratori de Càlcul Numèric (LACAN)

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 non-saturated 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.

Keywords: Level-set method; Porous media; Piping; Internal erosion

Domains: Physics [physics]; Mechanics [physics]; Mechanics of materials [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Mechanics of materials [physics.class-ph]

Régis Cottereau, Pedro Diez, Antonio Huerta. Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena. Computational Mechanics, 2010, 46 (2), pp.315-327. ⟨10.1007/s00466-009-0443-y⟩. ⟨hal-00709536⟩