Abstract
Relaxation in nuclear magnetic resonance (NMR), both transverse and longitudinal, provides information on microscopic features of a wide variety of systems and may be used to monitor dynamic processes such as cementation, chemical reactions, gelatinization, and evaporation. Dynamic relaxometry, in combination with spatial resolution, is a useful technique that provides deep insight into complex systems evolution. In this work, we explore the range of applicability of single-sided NMR to determine the evaporation kinetics of fluid from porous media. We show that, due to technical experimental restrictions, the determination of the time-dependent amount of fluid in different voids as a function of the position is in general not feasible with transverse relaxation experiments. However, as opposed to common intuition, longitudinal relaxation experiments provide reliable and fast acquisition, compatible with the requirements needed to monitor a water evaporation process from a model oil-reservoir rock sample.
Similar content being viewed by others
Data Availability
The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
References
J.P. Korb, Nuclear magnetic relaxation of liquids in porous media. New J. Phys. (2011). https://doi.org/10.1088/1367-2630/13/3/035016
P.T. Callaghan, Translational dynamics and magnetic resonance: principles of pulsed gradient spin echo NMR (Oxford University Press, Oxford, 2011)
B. Maillet, R. Sidi-Boulenouar, P. Coussot, Dynamic NMR relaxometry as a simple tool for measuring liquid transfers and characterizing surface and structure evolution in porous media. Langmuir 38, 15009–15025 (2022). https://doi.org/10.1021/acs.langmuir.2c01918
M. Van Landeghem, J.B. D’Espinose De Lacaillerie, B. Blümich, J.P. Korb, B. Bresson, The roles of hydration and evaporation during the drying of a cement paste by localized NMR. Cem. Concr. Res. 48, 86–96 (2013). https://doi.org/10.1016/j.cemconres.2013.01.012
P. McDonald, J.-P. Korb, J. Mitchell, L. Monteilhet, Surface relaxation and chemical exchange in hydrating cement pastes: a two-dimensional NMR relaxation study. Phys. Rev. E. (2005). https://doi.org/10.1103/PhysRevE.72.011409
P.F. Faure, S. Car, J. Magat, T. Chaussadent, Drying effect on cement paste porosity at early age observed by NMR methods. Constr. Build. Mater. 29, 496–503 (2012). https://doi.org/10.1016/j.conbuildmat.2011.07.012
L. Monteilhet, J.P. Korb, J. Mitchell, P.J. McDonald, Observation of exchange of micropore water in cement pastes by two-dimensional T2–T2 nuclear magnetic resonance relaxometry. Phys. Rev. E Stat. Nonlin. Soft. Matter. Phys. 74, 1–9 (2006). https://doi.org/10.1103/PhysRevE.74.061404
Y.Q. Song, Magnetic resonance of porous media (MRPM): a perspective. J. Magn. Reson. 229, 12–24 (2013). https://doi.org/10.1016/j.jmr.2012.11.010
Y.-Q. Song, Recent progress of nuclear magnetic resonance applications in sandstones and carbonate rocks. Vadose Zone J. 9, 828 (2010). https://doi.org/10.2136/vzj2009.0171
Y. Zhang, L. Xiao, G. Liao, Y.Q. Song, Direct correlation of diffusion and pore size distributions with low field NMR. J. Magn. Reson. 269, 196–202 (2016). https://doi.org/10.1016/j.jmr.2016.06.013
E. Lucas-Oliveira, A.G. Araujo-Ferreira, W.A. Trevizan, B. Coutinho, C. Santos, T.J. Bonagamba, Sandstone surface relaxivity determined by NMR T 2 distribution and digital rock simulation for permeability evaluation. J. Pet. Sci. Eng. 193, 107400 (2020). https://doi.org/10.1016/j.petrol.2020.107400
Y. Peysson, M. Fleury, V. Blázquez-Pascual, Drying rate measurements in convection- and diffusion-driven conditions on a shaly sandstone using nuclear magnetic resonance. Transp. Porous Media. 90, 1001–1016 (2011). https://doi.org/10.1007/s11242-011-9829-3
S. Ghoshal, C. Mattea, S. Stapf, Inhomogeneity in the drying process of gelatin film formation: NMR microscopy and relaxation study. Chem. Phys. Lett. 485, 343–347 (2010). https://doi.org/10.1016/j.cplett.2009.12.064
M. Cocusse, M. Rosales, B. Maillet, R. Sidi-Boulenouar, E. Julien, S. Caré, P. Coussot, Two-step diffusion in cellular hygroscopic (vascular plant-like) materials. Sci. Adv. (2023). https://doi.org/10.1126/sciadv.abm7830
B. Maillet, G. Dittrich, P. Huber, P. Coussot, Diffusionlike drying of a nanoporous solid as revealed by magnetic resonance imaging. Phys. Rev. Appl. (2022). https://doi.org/10.1103/PhysRevApplied.18.054027
G.R. Coates, L. Xiao, M.G. Prammer, NMR logging principles and applications (Halliburton Energy Services, Houston, 2001)
P.J. McDonald, Stray field magnetic resonance imaging. Prog. Nucl. Magn. Reson. Spectrosc. 30, 69–99 (1997). https://doi.org/10.1016/S0079-6565(96)01035-7
K. Smith, A. Burbidge, D. Apperley, P. Hodgkinson, F.A. Markwell, D. Topgaard, E. Hughes, Stray-field NMR diffusion q-space diffraction imaging of monodisperse coarsening foams. J. Colloid Interface Sci. 476, 20–28 (2016). https://doi.org/10.1016/j.jcis.2016.04.053
R. de Oliveira-Silva, É. Lucas-Oliveira, A.G. de Araújo-Ferreira, W.A. Trevizan, E.L.G. Vidoto, D. Sakellariou, T.J. Bonagamba, A benchtop single-sided magnet with NMR well-logging tool specifications—examples of application. J. Magn. Reson. 322, 106871 (2021). https://doi.org/10.1016/j.jmr.2020.106871
P. Blümler, F. Casanova, CHAPTER 4: Hardware developments: single-sided magnets, in New developments in NMR. ed. by T. Ren (Royal Society of Chemistry, 2016), pp.110–132. https://doi.org/10.1039/9781782628095-00110
B. Manz, A. Coy, R. Dykstra, C.D. Eccles, M.W. Hunter, B.J. Parkinson, P.T. Callaghan, A mobile one-sided NMR sensor with a homogeneous magnetic field: the NMR-MOLE. J. Magn. Reson. 183, 25–31 (2006). https://doi.org/10.1016/j.jmr.2006.07.017
M.N. D’Eurydice, P. Galvosas, D-T2 correlation using the inhomogeneity of single sided NMR devices. Microporous Mesoporous Mater. 205, 40–43 (2015). https://doi.org/10.1016/j.micromeso.2014.08.026
G. Eidmann, R. Savelsberg, P. Blümler, B. Blümich, The NMR MOUSE, a mobile universal surface explorer. J. Magn. Reson. A. 122, 104–109 (1996). https://doi.org/10.1006/jmra.1996.0185
B. Blümich, P. Blümler, G. Eidmann, A. Guthausen, R. Haken, U. Schmitz, K. Saito, G. Zimmer, The NMR-mouse: construction, excitation, and applications. Magn. Reson. Imaging. 16, 479–484 (1998). https://doi.org/10.1016/S0730-725X(98)00069-1
F. Casanova, J. Perlo, B. Blümich, NMR in inhomogeneous fields. Single-sided NMR (2011). https://doi.org/10.1007/978-3-642-16307-4
B. Blümich, J. Anders, When the MOUSE leaves the house. Magn. Reson. 2, 149–160 (2021). https://doi.org/10.5194/mr-2-149-2021
B. Blümich, D. Jaschtschuk, C. Rehorn, Advances and adventures with mobile NMR, in Magnetic resonance microscopy. (Wiley, 2022), pp.155–172. https://doi.org/10.1002/9783527827244.ch7
B. Blümich, J. Perlo, F. Casanova, Mobile single-sided NMR. Prog. Nucl. Magn. Reson. Spectrosc. 52, 197–269 (2008). https://doi.org/10.1016/j.pnmrs.2007.10.002
B. Blümich, S. Anferova, R. Pechnig, H. Pape, J. Arnold, C. Clauser, Mobile NMR for porosity analysis of drill core sections. J. Geophys. Eng. 1, 177–180 (2004). https://doi.org/10.1088/1742-2132/1/3/001
S. Costabel, T. Hiller, R. Dlugosch, S. Kruschwitz, M. Müller-Petke, Evaluation of single-sided nuclear magnetic resonance technology for usage in geosciences. Meas. Sci. Technol. (2023). https://doi.org/10.1088/1361-6501/ac9800
J. Perlo, F. Casanova, B. Blümich, Profiles with microscopic resolution by single-sided NMR. J. Magn. Reson. 176, 64–70 (2005). https://doi.org/10.1016/j.jmr.2005.05.017
E.V. Silletta, M.I. Velasco, G.A. Monti, R.H. Acosta, Comparison of experimental times in T1-D and D-T2 correlation experiments in single-sided NMR. J. Magn. Reson. 334, 107112–107118 (2022). https://doi.org/10.1016/j.jmr.2021.107112
H.Y. Carr, E.M. Purcell, Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys. Rev. 94, 630–638 (1954). https://doi.org/10.1103/PhysRev.94.630
S. Meiboom, D. Gill, Modified spin-echo method for measuring nuclear relaxation times. Rev. Sci. Instrum. 29, 688 (1958). https://doi.org/10.1063/1.1716296
S.W. Provencher, A constrained regularization method for inverting data represented by linear algebraic or integral equations. Comput. Phys. Commun. 27, 213–227 (1982). https://doi.org/10.1016/0010-4655(82)90173-4
M.D. Hürlimann, Diffusion and relaxation effects in general stray field NMR experiments. J. Magn. Reson. 148, 367–378 (2001). https://doi.org/10.1006/jmre.2000.2263
R. Kimmich, Principles of soft-matter dynamics (Springer Netherlands, Dordrecht, 2012). https://doi.org/10.1007/978-94-007-5536-9
P.J. Mcdonald, B. Newling, Stray field magnetic resonance imaging. Rep. Prog. Phys. (1998). https://doi.org/10.1088/0034-4885/61/11/001
M.D. Hürlimann, D.D. Griffin, Spin dynamics of Carr-Purcell-Meiboom-Gill-like sequences in grossly inhomogeneous B(0) and B(1) fields and application to NMR well logging. J. Magn. Reson. 143, 120–135 (2000). https://doi.org/10.1006/jmre.1999.1967
M.D. Hürlimann, L. Venkataramanan, Quantitative measurement of two-dimensional distribution functions of diffusion and relaxation in grossly inhomogeneous fields. J. Magn. Reson. 157, 31–42 (2002). https://doi.org/10.1006/jmre.2002.2567
G. Goelman, M.G. Prammer, The CPMG pulse sequence in strong magnetic field gradients with applications to oil-well logging. J. Magn. Reson. A. 113, 11–18 (1995). https://doi.org/10.1006/jmra.1995.1050
Y.-Q. Song, Categories of coherence pathways for the CPMG sequence. J. Magn. Reson. 157, 82–91 (2002). https://doi.org/10.1006/jmre.2002.2577
J.L. Markley, W.J. Horsley, M.P. Klein, Spin-lattice relaxation measurements in slowly relaxing complex spectra. J. Chem. Phys. 55, 3604–3605 (1971). https://doi.org/10.1063/1.1676626
W.E. Kenyon, P.I. Day, C. Straley, J.F. Willemsen, Three-part study of NMR longitudinal relaxation properties of water-saturated sandstones. SPE Form. Eval. 3, 622–636 (1988). https://doi.org/10.2118/15643-pa
M. Esteves Ferreira, M. Del Rodrigues Grande, R. Neumann Barros Ferreira, A. da Ferreirasilva, M. da Nogueira Pereira Silva, J. Tirapu-Azpiroz, E. Lucas-Oliveira, A.G. de Araújo Ferreira, R. Soares, C.B. Eckardt, T.J. Bonagamba, M. Steiner, Full scale, microscopically resolved tomographies of sandstone and carbonate rocks augmented by experimental porosity and permeability values. Sci. Data. 10, 368 (2023). https://doi.org/10.1038/s41597-023-02259-z
P.D. Teal, C. Eccles, Adaptive truncation of matrix decompositions and efficient estimation of NMR relaxation distributions. Inverse Probl. 31, 045010 (2015)
A.G. Yiotis, I.N. Tsimpanogiannis, A.K. Stubos, Y.C. Yortsos, Pore-network study of the characteristic periods in the drying of porous materials. J. Colloid Interface Sci. 297, 738–748 (2006). https://doi.org/10.1016/j.jcis.2005.11.043
P. Coussot, Scaling approach of the convective drying of a porous medium. Eur. Phys. J. B 15, 557–566 (2000). https://doi.org/10.1007/s100510051160
M. Kaviany, M. Mittal, Funicular state in drying of a porous slab. Int. J. Heat Mass Transf. 30, 1407–1418 (1987). https://doi.org/10.1016/0017-9310(87)90172-4
M.I. Velasco, E.V. Silletta, C.G. Gomez, M.C. Strumia, S. Stapf, G.A. Monti, C. Mattea, R.H. Acosta, Spatially resolved monitoring of drying of hierarchical porous organic networks. Langmuir 32, 2067–2074 (2016). https://doi.org/10.1021/acs.langmuir.5b04230
Funding
We would like to acknowledge the financial support from CONICET (PIP-1111220130100746CO), SeCyT-UNC (33620180100154CB), and ANPCYT (PICT 2017-0957 and PICT-2019-2802).
Author information
Authors and Affiliations
Contributions
FAM: investigation, methodology, software. MIV: investigation, methodology, software, writing—review and editing. GAM: writing—review and editing, funding acquisition, supervision. RHA: methodology, funding acquisition, project management, writing—original draft, supervision.
Corresponding author
Ethics declarations
Conflict of Interest
The authors have no competing interests as defined by Springer, or other interests that might be perceived to influence the results and/or discussion reported in this paper.
Ethical Approval
Not applicable.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Milana, F.A., Velasco, M.I., Monti, G.A. et al. Spatially Resolved Dynamic Longitudinal Relaxometry in Single-Sided NMR. Appl Magn Reson 54, 1349–1363 (2023). https://doi.org/10.1007/s00723-023-01583-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00723-023-01583-2