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Time Correlations in Fluid Transport Obtained by Sequential Rephasing Gradient Pulses.

Stapf1, Damion, Packer

  • 1Department of Chemistry, University of Nottingham, Nottingham, NG7 2RD, United Kingdom

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|March 25, 1999
PubMed
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This study introduces the SERPENT (SEQuential Rephasing by Pulsed field-gradients Encoding N Time-intervals) experiment to measure fluid displacement probability. The method reveals fluid element displacement correlations over time, crucial for understanding fluid dynamics.

Area of Science:

  • Fluid Dynamics
  • Magnetic Resonance Imaging
  • Statistical Mechanics

Background:

  • Understanding fluid transport relies on characterizing displacement probability.
  • Pulsed field-gradient nuclear magnetic resonance (PFG-NMR) is a powerful tool for studying molecular diffusion and flow.

Purpose of the Study:

  • To present a novel PFG-NMR experiment, SERPENT, for measuring the evolution of displacement probability density in multiple time intervals.
  • To demonstrate the capability of SERPENT in characterizing fluid flow and displacement correlations.

Main Methods:

  • Development of the SERPENT (SEQuential Rephasing by Pulsed field-gradients Encoding N Time-intervals) pulse sequence.
  • Utilizing spatial spin-labeling and multiple rephasing events with specific gradient areas (q0 + q1 + q2 = 0).

Related Experiment Videos

  • Applying a two-dimensional Fourier transform to obtain the joint probability density W2(R1, Delta1; R2, Delta2).

    • Main Results:

    • SERPENT successfully obtains the displacement probability density (propagator) over successive time intervals.
    • The experiment allows for the direct measurement of the joint probability density for displacements in different time intervals.
    • Experimental results for water flow in packed glass beads demonstrate the loss of displacement correlation as fluid elements move beyond bead diameters.

    Conclusions:

    • The SERPENT experiment provides a versatile method for investigating fluid displacement dynamics.
    • The technique is capable of capturing short-time velocity fields and long-time displacement correlations.
    • SERPENT offers insights into the history of fluctuating velocities and their impact on fluid transport.