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 language | English |
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Pages (from-to) | 7-10 |
Number of pages | 4 |
Journal | Microporous and Mesoporous Materials |
Volume | 178 |
DOIs | |
Publication status | Published - 15 Sept 2013 |
Externally published | Yes |
Keywords
- NMR
- Diffusion
- Laplace operator
- Eigenvalues
- Eigenfunctions