Reconstruction of porous material geometry by stochastic optimization based on bulk NMR measurements of the dipolar field

Journal of Magnetic Resonance

Volumn 170, Issue 2, 2004, Pages 299-309

  Bouchard, Louis S ^a   Warren, Warren S ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Distant dipolar field; Intermolecular multiple quantum coherences; Inverse problem; NMR; Porous materials

Indexed keywords

ALGORITHMS; ANISOTROPY; ANNEALING; COMPUTER SIMULATION; FUNCTIONS; INVERSE PROBLEMS; MAGNETIC FIELDS; OPTIMIZATION; POROUS MATERIALS; PROBES;

DISTANT DIPOLAR FIELDS; INTERMOLECULAR MULTIPLE-QUANTUM COHERENCES; LIQUID PHASES; VERTICLE CYLINDERS;

NUCLEAR MAGNETIC RESONANCE;

ALGORITHM; ANISOTROPY; ARTICLE; COMPUTER SIMULATION; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; POROSITY; STATISTICS; THEORETICAL MODEL;

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; MAGNETIC RESONANCE SPECTROSCOPY; MODELS, THEORETICAL; POROSITY; STOCHASTIC PROCESSES;

EID: 4544354982     PISSN: 10907807     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmr.2004.05.023     Document Type: Article

References (20)

1. R. Bowtell, P. Robyr, Structural investigations with the dipolar demagnetizing field in solution NMR, Phys. Rev. Lett. 76 (1996) 4971.
2. M.H. Levitt, Demagnetization field effects in two-dimensional solution NMR, Concepts Magn. Reson. 8 (1996) 137.
3. W. Richter, M. Richter, W.S. Warren, H. Merkle, P. Andersen, G. Adriany, K. Ugurbil, Functional magnetic resonance imaging using intermolecular multiple-quantum coherences, Magn. Reson. Imag. 18 (2000) 489-494.
4. C. Ramanathan, R.W. Bowtell, NMR imaging and structure measurements using the long-range dipolar field in liquids, Phys. Rev. E 66 (2002) 41201-41201.
5. L.-S. Bouchard, X.-P. Tang, C.-L. Chin, F.W. Wehrli, W.S. Warren, Structural investigations of materials microstructure using intermolecular multiple-quantum coherences, Oral presentation, ENC (Savannah, GA), 44th Annual Meeting, 2003.
6. S. Kirkpatrick, C.D, Gelatt, M.P. Vecchi, Optimization by simulated annealing, Science 220 (1983) 671-680.
7. G.S. Fishman, Monte Carlo: Concepts, Algorithms and Applications, Springer, New York, 1996.
8. T. Enss, S. Ahn, W.S. Warren, Visualization of the dipolar field in solution NMR and MR imaging: three-dimensional structure simulations, Chem. Phys. Lett. 305 (1999) 101-108.
9. G. Deville, M. Bernier, J.M. Delrieux, NMR multiple echoes observed in solid He-3, Phys. Rev. B 19 (1979) 5666.
10. T.P. Harrigan, R.W. Mann, Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor, J. Mater. Sci. 19 (1984) 761-767.
11. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Springer, New York, 2002.
12. R. Bowtell, S. Gutteridge, C. Ramanathan, Imaging the long-range dipolar field in structured liquid state samples, J. Magn. Reson. 150 (2001) 147.
13. V. Volterra, Theory of Functional and of Integral and Integra-differential Equations, Dover, New York, 1959.
14. R.A. Bertlmann, Anomalies in Quantum Field Theory, Oxford, New York, 2000.
15. C.L.Y. Yeong, S. Torquato, Reconstructing random media, Phys. Rev. E 57 (1998) 495-506.
16. C.L.Y. Yeong, S. Torquato, Reconstructing random media, ii. Three-dimensional media from two-dimensional cuts, Phys. Rev. E 58 (1998) 224-233.
17. M.G. Rozman, M. Utz, Efficient reconstructions of multiphase morphologies from correlation functions, Phys. Rev. E 63 (2001) 0667011-06670118.
18. P.T. Callaghan, Principles of Nuclear Magnetic Resonance Microscopy, Clarendon Press, Oxford, New York, 1991.
19. R.W. Mair, M.D. Hurlimann, P.N. Sen, L.M. Schwartz, S. Patz, R.L. Walsworth, Tortuosity measurement and the effects of finite pulse widths on xenon gas diffusion NMR studies of porous media, Magn. Reson. Imag. 19 (2001) 345-351.
20. G. Pavlovskaya, A.K. Blue, S.J. Gibbs, M. Haake, F. Cros, L. Malier, T. Meersmann, Xenon-131 surface sensitive imaging of aerogels in liquid xenon near the critical point, J. Magn. Reson. 137 (1999) 258-264.