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

doi:10.1016/j.micromeso.2017.05.056

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 journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	191-194
Number of pages	4
Journal	Microporous and Mesoporous Materials
Volume	269
DOIs	https://doi.org/10.1016/j.micromeso.2017.05.056
Publication status	Published - Oct 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Inc.

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

Keywords

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

Access to Document

10.1016/j.micromeso.2017.05.056

Cite this

@article{4631c550e5334fe39792b7c857c28a78,

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

abstract = "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.",

keywords = "Relaxation correlation, Lognormal distribution, Inverse-gamma distribution, Magnetic resonance in porous media, Heterogeneity, Multidimensional distribution function",

author = "Williamson, {Nathan H.} and Magnus R{\"o}ding and Huabing Liu and Petrik Galvosas and Miklavcic, {Stanley J.} and Magnus Nyd{\'e}n",

year = "2018",

month = oct,

doi = "10.1016/j.micromeso.2017.05.056",

language = "English",

volume = "269",

pages = "191--194",

journal = "Microporous and Mesoporous Materials",

issn = "1387-1811",

publisher = "Elsevier",

}

TY - JOUR

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

AU - Williamson, Nathan H.

AU - Röding, Magnus

AU - Liu, Huabing

AU - Galvosas, Petrik

AU - Miklavcic, Stanley J.

AU - Nydén, Magnus

PY - 2018/10

Y1 - 2018/10

N2 - 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.

AB - 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.

KW - Relaxation correlation

KW - Lognormal distribution

KW - Inverse-gamma distribution

KW - Magnetic resonance in porous media

KW - Heterogeneity

KW - Multidimensional distribution function

UR - http://www.scopus.com/inward/record.url?scp=85026815139&partnerID=8YFLogxK

U2 - 10.1016/j.micromeso.2017.05.056

DO - 10.1016/j.micromeso.2017.05.056

M3 - Article

AN - SCOPUS:85026815139

SN - 1387-1811

VL - 269

SP - 191

EP - 194

JO - Microporous and Mesoporous Materials

JF - Microporous and Mesoporous Materials

ER -