Effects of surface relaxation on NMR pulsed field gradient experiments in porous media

Partha P. Mitra and Pabitra N. Sen

Physica A: Statistical Mechanics and its Applications, 1992, vol. 186, issue 1, 109-114

Abstract: We derive an expression for the magnetization M(k,t) in a pulsed fiield gradient spin echo (PFGSE) experiment for spins diffusing in a restricted geometry with relaxation at the pore walls. Exact solutions for a slab, and simple considerations for a periodic pore geometry show that the normalized amplitude M(k,t,p)/M(0, t,p) depends only weakly on the surface relaxivity p for small p. This suggests a ‘factorization’ that for small p, Mp(k,t) ≈ Mp(0,t) Mp=0(k,t). This factorization is useful in understanding PFGSE experiments, because Mp=0(k,t) is theoretically simpler to analyze, and is related to the structure of the pore space.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:186:y:1992:i:1:p:109-114

DOI: 10.1016/0378-4371(92)90369-2

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