Obtaining T₁-T₂ distribution functions from 1-dimensional T₁ and T₂ measurements: the pseudo 2-D relaxation model

Corrigendum to the article published in Journalof Magnetic Resonance, 271, p. 110. https://doi.org/10.1016/j.jmr.2016.08.014

We present the pseudo 2-D relaxation model (P2DRM), a method to estimate multidimensional probability distributions of material parameters from independent 1-D measurements. We illustrate its use on 1-D T₁ and T₂ relaxation measurements of saturated rock and evaluate it on both simulated and experimental T₁-T₂ correlation measurement data sets. Results were in excellent agreement with the actual, known 2-D distribution in the case of the simulated data set. In both the simulated and experimental case, the functional relationships between T₁ and T₂ were in good agreement with the T₁-T₂ correlation maps from the 2-D inverse Laplace transform of the full 2-D data sets. When a 1-D CPMG experiment is combined with a rapid T₁ measurement, the P2DRM provides a double-shot method for obtaining a T₁-T₂ relationship, with significantly decreased experimental time in comparison to the full T₁-T₂ correlation measurement.