A 2D self-organized percolation model for capillary impregnation

Anh Khoa Nguyen (1) , C B. Trang (1) , Eric Blond (1) , Emmanuel de Bilbao (2) , Thomas Sayet (1) , A. Batakis (3)

1 MMP - Mécanique des Matériaux et Procédés
2 CEMHTI - Conditions Extrêmes et Matériaux : Haute Température et Irradiation
3 IDP - Institut Denis Poisson

A two-dimension extension of the Self-organized Gradient Percolation (SGP) method initially developed for the one-dimensional simulation is proposed. The initialization in the two directions is considered as the analytic solution of the 2D (homogeneous) diffusion equation. The evolution of the saturation front is assumed to be the evolution of both standard deviations in each direction. The validation of the implementation is done by comparisons between SGP and finite element results.

Mots clés: gradient percolation; porous media; simulation; Impregnation

Domaines: Mécanique des fluides [physics.class-ph]; Physique mathématique [math-ph]; Mécanique statistique [cond-mat.stat-mech]; Mécanique des matériaux [physics.class-ph]

Anh Khoa Nguyen, C B. Trang, Eric Blond, Emmanuel de Bilbao, Thomas Sayet, et al.. A 2D self-organized percolation model for capillary impregnation. CSMA 2019, May 2019, Giens (var), France. ⟨hal-02133397⟩