TY - JOUR
T1 - Obtaining T1-T2 distribution functions from 1-dimensional T1 and T2 measurements
T2 - the pseudo 2-D relaxation model
AU - Williamson, Nathan H.
AU - Röding, Magnus
AU - Galvosas, Petrik
AU - Miklavcic, Stanley J.
AU - Nydén, Magnus
PY - 2016/8
Y1 - 2016/8
N2 - Corrigendum to the article published in Journalof Magnetic Resonance, 271, p. 110. https://doi.org/10.1016/j.jmr.2016.08.014We 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.
AB - Corrigendum to the article published in Journalof Magnetic Resonance, 271, p. 110. https://doi.org/10.1016/j.jmr.2016.08.014We 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.
KW - T₁
KW - T₂
KW - Relaxation correlation
KW - Inverse Laplace transform
KW - Lognormal distribution
KW - Inverse-gamma distribution
KW - Porous media
KW - Heterogeneity
KW - Multidimensional distribution function
UR - http://www.scopus.com/inward/record.url?scp=84975855895&partnerID=8YFLogxK
UR - https://doi.org/10.1016/j.jmr.2016.08.014
U2 - 10.1016/j.jmr.2016.06.009
DO - 10.1016/j.jmr.2016.06.009
M3 - Article
C2 - 27344611
AN - SCOPUS:84975855895
SN - 1090-7807
VL - 269
SP - 186
EP - 195
JO - Journal of Magnetic Resonance
JF - Journal of Magnetic Resonance
ER -