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

Nathan H. Williamson*, Magnus Röding, Petrik Galvosas, Stanley J. Miklavcic, Magnus Nydén

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)186-195
Number of pages10
JournalJournal of Magnetic Resonance
Publication statusPublished - Aug 2016
Externally publishedYes


  • T₁
  • T₂
  • Relaxation correlation
  • Inverse Laplace transform
  • Lognormal distribution
  • Inverse-gamma distribution
  • Porous media
  • Heterogeneity
  • Multidimensional distribution function


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