Numerical modeling of suffusion as an interfacial erosion process

Frederic Golay; Stéphane Bonelli

Numerical modeling of suffusion as an interfacial erosion process

Frederic Golay ¹ Stéphane Bonelli ²

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

2 IRSTEA - Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture

Abstract : Suffusion is an internal erosion process which occurs when finer soil particles are detached by seepage flow and start moving within the pore space of larger particles. Suffusion can be viewed as clay/water interface erosion. The aim of this study is to use a numerical model for simulating surface erosion occurring at a fluid/soil interface subject to a flow process at pore scale. Balance equations with jump relations are used. A penalization procedure including a fictitious domain method is used to compute the Stokes flow around obstacles, in order to avoid body-fitted unstructured meshes and instead use fast and efficient finite volume approximations on Cartesian meshes. The evolution of the water/soil interface is described by using a level-set function. The ability of the model to predict suffusion is confirmed by several numerical simulations.

Keywords : suffusion internal erosion finite volume level-set interface fictitious domain

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Mechanics [physics.med-ph]

Complete list of metadatas

https://hal-univ-tln.archives-ouvertes.fr/hal-00979051
Contributor : Frederic Golay <>
Submitted on : Tuesday, April 15, 2014 - 11:24:30 AM
Last modification on : Wednesday, July 31, 2019 - 1:52:09 PM

Numerical modeling of suffusion as an interfacial erosion process

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Numerical modeling of suffusion as an interfacial erosion process

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