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; Hang T. Nguyen; Jing Rebecca Li

doi:10.1016/j.micromeso.2013.02.040

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

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Abstract

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.

Original language	English
Pages (from-to)	56-59
Number of pages	4
Journal	Microporous and Mesoporous Materials
Volume	178
DOIs	https://doi.org/10.1016/j.micromeso.2013.02.040
Publication status	Published - 15 Sept 2013

Keywords

Menger sponge
Monte Carlo
NMR
PGSE
Restricted diffusion

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10.1016/j.micromeso.2013.02.040

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

abstract = "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.",

keywords = "Menger sponge, Monte Carlo, NMR, PGSE, Restricted diffusion",

author = "Grebenkov, \{Denis S.\} and Nguyen, \{Hang T.\} and Li, \{Jing Rebecca\}",

year = "2013",

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doi = "10.1016/j.micromeso.2013.02.040",

language = "English",

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journal = "Microporous and Mesoporous Materials",

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T1 - A fast random walk algorithm for computing diffusion-weighted NMR signals in multi-scale porous media

T2 - A feasibility study for a Menger sponge

AU - Grebenkov, Denis S.

AU - Nguyen, Hang T.

AU - Li, Jing Rebecca

PY - 2013/9/15

Y1 - 2013/9/15

N2 - 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.

AB - 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.

KW - Menger sponge

KW - Monte Carlo

KW - NMR

KW - PGSE

KW - Restricted diffusion

UR - https://www.scopus.com/pages/publications/84894906088

U2 - 10.1016/j.micromeso.2013.02.040

DO - 10.1016/j.micromeso.2013.02.040

M3 - Article

AN - SCOPUS:84894906088

SN - 1387-1811

VL - 178

SP - 56

EP - 59

JO - Microporous and Mesoporous Materials

JF - Microporous and Mesoporous Materials

ER -

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

Abstract

Keywords

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