Finite difference diagonalization to simulate nuclear magnetic resonance diffusion experiments in porous media

被引：2

作者：

Grombacher, Denys ^{[1
]}

Nordin, Matias ^{[1
]}

机构：

[1] Stanford Univ, Dept Geophys, Stanford, CA 94305 USA

来源：

CONCEPTS IN MAGNETIC RESONANCE PART A | 2015年 / 44卷 / 03期

关键词：

diffusion; finite difference; porous media; Laplace operator; NARROW-PULSE APPROXIMATION; RESTRICTED DIFFUSION; FIELD GRADIENT; SPIN-ECHO; NMR DIFFUSION; LAPLACIAN EIGENFUNCTIONS; BLOCH EQUATIONS; MOLECULES; PROPAGATORS; RELAXATION;

D O I：

10.1002/cmr.a.21349

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

A finite difference approach for computing Laplacian eigenvalues and eigenvectors in discrete porous media is derived and used to approximately solve the Bloch-Torrey equations. Neumann, Dirichlet, and Robin boundary conditions are considered and applications to simulate nuclear magnetic resonance diffusion experiments are shown. The method is illustrated with MATLAB examples and computational tests in one and two dimensions and the extension to three dimensions is outlined. (c) 2015 Wiley Periodicals, Inc. Concepts Magn Reson Part A 44A: 160-180, 2015.

引用

页码：160 / 180

页数：21

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