An efficient eigenfunction approach to calculate spin-echo signals in heterogeneous porous media
Date
2013
Authors
Nordin, M.
Grebenkov, D.
Jacobi, M.N.
Nyden, M.
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Journal article
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Microporous and Mesoporous Materials, 2013; 178:7-10
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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.
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Copyright 2013 Elsevier