An efficient eigenfunction approach to calculate spin-echo signals in heterogeneous porous media
Journal article, 2013

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(k(2)), 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.

Eigenfunctions

Eigenvalues

Laplace operator

Diffusion

NMR

Author

Matias Nordin

Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry

D. Grebenkov

Laboratoire de Physique de la Matiere Condensee

Martin Nilsson Jacobi

Chalmers, Energy and Environment, Physical Resource Theory

Magnus Nydén

University of South Australia

Microporous and Mesoporous Materials

1387-1811 (ISSN)

Vol. 178 7-10

Subject Categories

Physical Chemistry

DOI

10.1016/j.micromeso.2013.02.055

More information

Latest update

12/27/2018