An efficient eigenfunction approach to calculate spin-echo signals in heterogeneous porous media
Artikel i vetenskaplig tidskrift, 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.

Diffusion

NMR

Eigenfunctions

Laplace operator

Eigenvalues

Författare

Matias Nordin

Chalmers, Kemi- och bioteknik, Teknisk ytkemi

D. Grebenkov

Laboratoire de Physique de la Matiere Condensee

Martin Nilsson Jacobi

Chalmers University of Technology

Magnus Nydén

University of South Australia

Microporous and Mesoporous Materials

1387-1811 (ISSN)

Vol. 178 7-10

Ämneskategorier

Fysikalisk kemi

DOI

10.1016/j.micromeso.2013.02.055