Numerical simulations of NMR relaxation in chalk using local Robin boundary conditions
(2019) In Journal of Magnetic Resonance 308.- Abstract
The interpretation of nuclear magnetic resonance (NMR) data is of interest in a number of fields. In Ögren (2014) local boundary conditions for random walk simulations of NMR relaxation in digital domains were presented. Here, we have applied those boundary conditions to large, three-dimensional (3D) porous media samples. We compared the random walk results with known solutions and then applied them to highly structured 3D domains, from images derived using synchrotron radiation CT scanning of North Sea chalk samples. As expected, there were systematic errors caused by digitalization of the pore surfaces so we quantified those errors, and by using linear local boundary conditions, we were able to significantly improve the output. We... (More)
The interpretation of nuclear magnetic resonance (NMR) data is of interest in a number of fields. In Ögren (2014) local boundary conditions for random walk simulations of NMR relaxation in digital domains were presented. Here, we have applied those boundary conditions to large, three-dimensional (3D) porous media samples. We compared the random walk results with known solutions and then applied them to highly structured 3D domains, from images derived using synchrotron radiation CT scanning of North Sea chalk samples. As expected, there were systematic errors caused by digitalization of the pore surfaces so we quantified those errors, and by using linear local boundary conditions, we were able to significantly improve the output. We also present a technique for treating numerical data prior to input into the ESPRIT algorithm for retrieving Laplace components of time series from NMR data (commonly called T-inversion).
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- author
- Ögren, M. ; Jha, D. ; Dobberschütz, S. ; Müter, D. ; Carlsson, M. LU ; Gulliksson, M. ; Stipp, S. L.S. and Sørensen, H. O.
- organization
- publishing date
- 2019-11
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Boundary conditions, CT-scanning, NMR-relaxation, Random walk, T-inversion
- in
- Journal of Magnetic Resonance
- volume
- 308
- article number
- 106597
- publisher
- Academic Press
- external identifiers
-
- scopus:85072525625
- pmid:31546178
- ISSN
- 1090-7807
- DOI
- 10.1016/j.jmr.2019.106597
- language
- English
- LU publication?
- yes
- additional info
- Funding Information: The authors from the University of Copenhagen would like to thank Innovation Fund Denmark and Maersk Oil for funding this research through the project P 3 – Predicting Petrophysical Parameters. We acknowledge Danscatt for supporting datasampling and thank Ye Zhang for providing software for the Tikhonov regularization. Publisher Copyright: © 2019 Elsevier Inc.
- id
- 9ba1c932-bf74-437d-9dc5-d0b91a82bc2f
- date added to LUP
- 2022-03-29 09:32:55
- date last changed
- 2024-06-19 18:05:41
@article{9ba1c932-bf74-437d-9dc5-d0b91a82bc2f,
abstract = {{<p>The interpretation of nuclear magnetic resonance (NMR) data is of interest in a number of fields. In Ögren (2014) local boundary conditions for random walk simulations of NMR relaxation in digital domains were presented. Here, we have applied those boundary conditions to large, three-dimensional (3D) porous media samples. We compared the random walk results with known solutions and then applied them to highly structured 3D domains, from images derived using synchrotron radiation CT scanning of North Sea chalk samples. As expected, there were systematic errors caused by digitalization of the pore surfaces so we quantified those errors, and by using linear local boundary conditions, we were able to significantly improve the output. We also present a technique for treating numerical data prior to input into the ESPRIT algorithm for retrieving Laplace components of time series from NMR data (commonly called T-inversion).</p>}},
author = {{Ögren, M. and Jha, D. and Dobberschütz, S. and Müter, D. and Carlsson, M. and Gulliksson, M. and Stipp, S. L.S. and Sørensen, H. O.}},
issn = {{1090-7807}},
keywords = {{Boundary conditions; CT-scanning; NMR-relaxation; Random walk; T-inversion}},
language = {{eng}},
publisher = {{Academic Press}},
series = {{Journal of Magnetic Resonance}},
title = {{Numerical simulations of NMR relaxation in chalk using local Robin boundary conditions}},
url = {{http://dx.doi.org/10.1016/j.jmr.2019.106597}},
doi = {{10.1016/j.jmr.2019.106597}},
volume = {{308}},
year = {{2019}},
}