Features of Phenomenological Bloch Equations sSolution for Determining the Longitudinal Relaxation Time Т1 in a Liquid Flow

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Abstract

The article considers the features of determining the longitudinal T1 and transverse T2 relaxation times in the designs of NMR relaxometers with a flow-through and stationary liquid medium. The advantages of using the modulation technique for recording the NMR signal for flow-through NMR flowmeters-relaxometers and small-sized NMR relaxometers for express control of condensed media in comparison with other methods are noted. It is experimentally proven that the relationship obtained from the Bloch equations using approximations for determining T1 based on the results of two measurements of the NMR signal amplitudes or resonance frequencies has a number of limitations in its application for monitoring the state of a flowing medium. Based on experimental data, a study was made of the relationship between the magnetic field modulation frequencies for determining T1 and it was proven that for a number of relationships between them it is impossible to determine the T1 value during measurements. In this case, the NMR signals from the flowing medium at these modulation frequencies are recorded, and the medium itself has relaxation times T1 and T2. The results we obtained allow us to eliminate the error in determining the state of the medium (whether it complies with the standard (absence of impurities in it) or not) using the measured values of relaxation times. This is extremely important a during conducting various experiments, especially using current flows, in which the use of other methods for solving this problem is difficult.

About the authors

V. V. Davydov

Peter the Great St. Peterburg Polytechnic University

Author for correspondence.
Email: Davydov_vadim66@mail.ru
Russian Federation, Polytechnicheskaya Str., 29, Saint-Petersburg, 195251

A. A. Gol’dberg

Peter the Great St. Peterburg Polytechnic University

Email: Davydov_vadim66@mail.ru
Russian Federation, Polytechnicheskaya Str., 29, Saint-Petersburg, 195251

V. I. Dudkin

The Bonch-Bruevich Saint-Petersburg State University of Telecommunications

Email: Davydov_vadim66@mail.ru
Russian Federation, prosp. Bol’shevikov., 22, Saint-Petersburg, 193232

R. V. Davydov

Peter the Great St. Peterburg Polytechnic University; The Bonch-Bruevich Saint-Petersburg State University of Telecommunications; Alferov University

Email: Davydov_vadim66@mail.ru
Russian Federation, Polytechnicheskaya Str., 29, Saint-Petersburg, 195251; prosp. Bol’shevikov., 22, Saint-Petersburg, 193232; Khlopina Str., 8, Build., 3, Saint-Petersburg, 194021

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