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 7-10Ämneskategorier (SSIF 2011)
Fysikalisk kemi
DOI
10.1016/j.micromeso.2013.02.055