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

A 2D self-organized percolation model for capillary impregnation