A fast random walk algorithm for computing diffusion-weighted NMR signals in multi-scale porous media: A feasibility study for a Menger sponge

Denis S Grebenkov (1) , Hang Tuan Nguyen (2) , Jing-Rebecca Li (3)

1 LPMC - Laboratoire de physique de la matière condensée
2 LRMN - Laboratoire d'Imagerie et de Spectroscopie
3 DeFI - Shape reconstruction and identification

A fast random walk (FRW) algorithm is adapted to compute diffusion-weighted NMR signals in a Menger sponge which is formed by multiple channels of broadly distributed sizes and often considered as a model for soils and porous materials. The self-similar structure of a Menger sponge allows for rapid simulations that were not feasible by other numerical techniques. The role of multiple length scales on diffusion-weighted NMR signals is investigated.

Domaines: Modélisation et simulation

Denis S Grebenkov, Hang Tuan Nguyen, Jing-Rebecca Li. A fast random walk algorithm for computing diffusion-weighted NMR signals in multi-scale porous media: A feasibility study for a Menger sponge. Microporous and Mesoporous Materials, 2013, ⟨10.1016/j.micromeso.2013.02.040⟩. ⟨hal-00925065⟩