The pseudo 2-D relaxation model for obtaining T1–T2 relationships from 1-D T1 and T2 measurements of fluid in porous media

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


NMR spin-lattice (T1) and spin-spin (T2) relaxation times and their inter-relation possess information on fluid behaviour in porous media. To elicit this information we utilize the pseudo 2-D relaxation model (P2DRM), which deduces the T1–T2 functional relationship from independent 1-D T1 and T2 measurements. Through model simulations we show empirically that the P2DRM accurately estimates T1–T2 relationships even when the marginal distributions of the true joint T1–T2 distribution are unknown or cannot be modeled. Estimates of the T1:T2 ratio for fluid interacting with pore surfaces remain robust when the P2DRM is applied to simulations of rapidly acquired data. Therefore, the P2DRM can be useful in situations where experimental time is limited.

Original languageEnglish
Pages (from-to)191-194
Number of pages4
JournalMicroporous and Mesoporous Materials
Publication statusPublished - Oct 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

Copyright 2019 Elsevier B.V., All rights reserved.


  • Relaxation correlation
  • Lognormal distribution
  • Inverse-gamma distribution
  • Magnetic resonance in porous media
  • Heterogeneity
  • Multidimensional distribution function


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