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A two-region transport model for interpreting T1-T2 measurements in complex systems
James E Maneval1, Madison L Nelson2, Linn W Thrane3
1Department of Chemical Engineering, Bucknell University, Lewisburg, PA, USA.
Abstract:
A 1D two region coupled pore model with discrete pore coupling is developed to elucidate the eigenmode interactions in regions with different surface relaxivity. Numerical solution of the model and simulation of the correlation experiment for varying surface relaxivity, pore connectivity and pore size ratio indicate the role of negative eigenmodes and overlap of T1 and T2 eigenmodes in generating a time domain signal increase with inversion recovery time, t1. The eigenmodes and eigenfunctions are considered in detail providing connection between the mathematical model and the diffusion dynamics and spin physics of the system. Physical systems, i.e. a microporous glass bead pack, a cyclopentane/water hydrate former, and beeswax, showing experimentally measured T1-T2 time domain signal rise are considered within the limitations of the model.
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