An efficient eigenfunction approach to calculate spin-echo signals in heterogeneous porous media

Matias Nordin*, Denis Grebenkov, Martin Nilsson Jacobi, Magnus Nydeń

*Corresponding author for this work

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An approximate method for solving the Bloch-Torrey equation by surface integrals is developed. The method presents a fast means for calculating pulsed-gradient spin-echo nuclear magnetic resonance signals in porous systems, and it is especially efficient when the surface-to-volume ratio is low. The number of operations for retrieving echo decays scale as O(k2), where k is the number of surface elements. The theory is numerically validated for pulsed-gradient spin-echo sequences on two-dimensional and three-dimensional examples.

Original languageEnglish
Pages (from-to)7-10
Number of pages4
JournalMicroporous and Mesoporous Materials
Volume178
DOIs
Publication statusPublished - 15 Sep 2013
Externally publishedYes

Keywords

  • NMR
  • Diffusion
  • Laplace operator
  • Eigenvalues
  • Eigenfunctions

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