Quantitative velocity distributions via nuclear magnetic resonance flow metering

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16 Citations (Scopus)


We demonstrate the use of Tikhonov regularisation as a data inversion technique to determine the velocity distributions of flowing liquid streams. Regularisation is applied to the signal produced by a nuclear magnetic resonance (NMR) flow measurement system consisting of a pre-polarising permanent magnet located upstream of an Earth's magnetic field NMR detection coil. A simple free induction decay (FID) NMR signal is measured for the flowing stream in what is effectively a ‘time-of-flight’ measurement. The FID signal is then modelled as a function of fluid velocity and acquisition time, enabling determination of the velocity probability distributions via regularisation. The mean values of these velocity distributions were successfully validated against in-line rotameters. The ability to quantify multi-modal velocity distributions was also demonstrated using a two-pipe system.
Original languageEnglish
Pages (from-to)179-185
Number of pages7
JournalJournal of Magnetic Resonance
Early online date16 Jun 2016
Publication statusPublished - 1 Aug 2016


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