An efficient eigenfunction approach to calculate spin-echo signals in heterogeneous porous media

作者：Nordin Matias^*; Grebenkov Denis; Jacobi Martin Nilsson; Nyden Magnus

来源：Microporous and Mesoporous Materials, 2013, 178: 7-10.

DOI：10.1016/j.micromeso.2013.02.055

• NMR
• Diffusion
• Laplace operator
• Eigenvalues
• Eigenfunctions

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.

• 出版日期2013-9-15