Study of flow and hydrodynamic dispersion in a porous medium using pulsed-field-gradient magnetic resonance

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 453, Issue 1958, 1997, Pages 489-513

  Amin, M H G ^a,b   Glbbs, S J ^a,b   Chorley, R J ^a,b   Richards, K S ^a,b   Carpenter, T A ^a,b   Hall, L D ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; MAGNETIC TECHNIQUES; POROUS MEDIA-FLOW THROUGH;

EID: 0030789779     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0028     Document Type: Article

References (47)

1. Bacri, J.-C., Rakotomalala, N. & Salin, D. 1990 Anomalous dispersion and finite-size effects in hydrodynamic dispersion. Phys. Fluids A 2, 674-680.
2. Bain, A. D. 1984 Coherence levels and coherence pathways in NMR. A simple way to design phase cycling procedures. J. Magn. Reson. 56, 418-427.
3. Bear, J. 1972 Dynamic of fluids in porous media. New York: Elsevier.
4. Beven, K. J., Henderson, D. E. & Reeves, A. D. 1993 Dispersion parameters for undisturbed partially saturated soil. J. Hydrol. 143, 19-43.
5. Callaghan, P. T. 1991 Principles of nuclear magnetic resonance microscopy. Oxford University Press.
6. Callaghan, P. T., MacGowan, D., Packer, K. J. &: Zelaya, F. O. 1990 High-resolution g-space imaging in porous structure. J. Magn. Reson. 90, 177-182.
7. Callaghan, P. T. & Xia, Y. 1991 Velocity and diffusion imaging in dynamic NMR microscopy. J. Magn. Reson. 91, 326-352.
8. Callaghan, P. T. & Manz, B. 1994 Velocity exchange spectroscopy. J. Magn. Reson. A106, 260-265.
9. Caprihan, A. & Fukushima, E. 1990 Flow Measurement by NMR. Phys. Rep. 198, 195-235.
10. Carpenter, T. A., Hall, L. D. & Jezzard, P. J. 1989 Proton magnetic resonance imaging of solid polymers using instrumentation designed for the liquid state. J. Magnetic Reson. 84, 383-387.
11. Carr, H. Y. &: Purcell, E. M. 1954 Effects of diffusion on free precession in nuclear magnetic resonance experiments. Phys. Rev. 94, 630-638.
12. Coats, K. H. & Smith, B. D. 1964 Dead end pore volume and dispersion in porous media. Soc. Petrol Engng 4, 73-84.
13. Cory, D. G. & Garroway, A. N. 1990 Measurement of translational displacement probabilities by NMR: an indicator of compartmentation. Magn, Reson. Med. 14, 435-444.
14. Cotts, R. M., Hoch, M. J. R., Sun, T. & Marker, J. T. 1989 Pulsed field gradient stimulated echo methods for improved NMR diffusion measurements in heterogeneous systems. J. Magn. Reson. 83, 252-266.
15. Danckwerts, P. V. 1953 Continuous flow systems. Chem. Eng. Sci. 2, 1-13.
16. Ernst, R. R. Bodenhausen, G. & Wokaun, A. 1987 Principles of nuclear magnetic resonance in one and two dimensions, pp. 292-307. Oxford: Clarendon.
17. Fischer, H. B., List, E. J., Koh, R. C. Y., Imberrger, J. & Brooks, N. H. 1979 Mixing in inland and coastal waters. New York: Academic.
18. Fordham, E. J., Gibbs, S. J. & Hall, L. D. 1994 Partially restricted diffusion in a permeable sandstone: observations by stimulated echo PFG NMR. Magn. Reson. Imaging 12, 279-284.
19. Freeman, R. 1988. A handbook of nuclear magnetic resonance, pp. 151-156. London: Longman.
20. Fried, J. J. & Combarnous, M. A. 1971 Dispersion in porous media. Adv. Hydrosci. 7, 169-282.
21. Germann, P. F. 1990 Macropores and hydrologie hillslope processes. In Process studies in hillslope hydrology (ed. M. G. Anderson & T. P. Burt), pp. 327-363. Chichtester: Wiley.
22. Germann, P. F. 1991 Length scales of convection-dispersion approaches to flow and transport in porous media. J. Contam. Hydrol. 7, 39-49.
23. Gibbs, S. J. & Johnson Jr, C. S. 1991 A PFG NMR experiment for accurate diffusion and flow studies in the presence of eddy current. J. Magn. Reson. 93, 395-402.
24. Gunn, D. J. 1987 Axial and radial dispersion in fixed beds. Chem. Eng. Sci. 42, 363-373.
25. Hahn, E. L. 1950 Spin echoes. Phyl. Rev. 80, 580-594.
26. Hemminga, M. A. 1984 Measurement of flow characteristics using nuclear magnetic resonance. In Biomédical magnetic resonance (ed. T. L. James & A. Marulis), pp. 157-184. San Francisco, CA: Radiology Research and Education Foundation.
27. Hrovat, M. I. & Wade, C. G. 1981 NMR pulsed gradient diffusion measurements. II. Residual gradients and lineshape distortions. J. Magn. Reson. 45, 67-80.
28. Jury, W. A. 1982 Simulation of solute transport using a transfer function model. Water Resour. Res. 18, 363-368.
29. Jury, W. A. & Roth, K. 1990 Transfer functions and solute movement through soil-theory and applications. Basel: Birkhäuser.
30. Jury, W. A. Sposito, G. & White, R. E. 1986 A transfer function model of solute transport through soil. 1. Fundamental concepts. Water Resour. Res. 22, 243-247.
31. Klute, A. (ed.) 1986 Methods of soil analysis, 2nd. edn, part 1, AGRONOMY 9, ASA Inc. and SSSA Inc. USA.
32. Koch, D. L. & Brady, J. F. 1985 Dispersion in fixed beds. J. Fluid Mech. 154, 399-427.
33. Latour, L. L., Mitra, P. P., Kleinberg, R. L. & Sotak, C. H. 1993 Time-dependent diffusion coefficient of fluids in porous media as a probe of surface-to-volume ratio. J. Magn. Reson. 101, 342-346.
34. Leblond, J., Benkedda, Y., Javelot, S. & Oger, L. 1994 Two-phase flows by pulsed field gradient spin-echo NMR. Meas. Sci. Technol. 5, 426-434.
35. Longsworth, L. G. 1960 The mutual diffusion of light and heavy water. J. Phys. Chem. 64, 1914-1917.
36. Moran, P. R. 1982 A flow velocity zeugmatographic interlace for NMR imaging in humans. Magn. Reson. Imaging 1, 197-203.
37. Parker, J. C. & Van Genuchten, M. Th. 1984 Flux-averaged and volume-averaged concentrations in continuum approaches to solute transport. Water Resour. Res. 20, 866-872.
38. Sank, V. J., Chen, C. N. & Hoult, D. I. 1986 A quadrature coil for the adult human head. J. Magn. Reson. 69, 236-242.
39. Schaafsma, T. J., Van As, H., Palstra, W. D., Snaar, J. E. M. & De Jager, P. A. 1992 Quantitative measurement and imaging of transport processes in plants and porous media by 1H NMR. Magn. Reson. Imaging 10, 827-836
40. Scheidegger, A. E. 1963 The physics of flow through porous media. University Of Toronto Press.
41. Stejskal, E. O. 1965 Use of spin echoes in a pulsed magnetic-field gradient to study anisotropic, restricted diffusion and flow. J. Chem. Phys. 43, 3597-3603.
42. Stejskal, E. O. & Tanner, J. E. 1965 Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 42, 288-292.
43. Tanner, J. E. 1970 Use of the stimulated echo in NMR diffusion studies. J. Chem. Phys. 52, 2523-2526.
44. Von Meerwall, E. & Kamat, M. 1989 Effect of residual field gradients on pulsed-gradient NMR diffusion measurements. J. Magn. Reson. 83, 309-323.
45. Wakao, N. & Punazkri, T. 1978 Effect of fluid dispersion coefficients on particle-to-fluid mass transfer coefficients in packed beds. Chem. Eng. Sci. 33, 1375-1384.
46. Xing, D., Gibbs, S. J., Derbyshire, J. A., Fordham, E. J., Carpenter, T. A. & Hall, L. D. 1995 Bayesian analysis for quantitative NMR flow and diffusion imaging. J. Magn. Reson. B 106, 1-9.
47. Yoda, K. & Kurokawa, M. 1989 Inductive coupling to the slotted-tube quadrature probe. J. Magn. Reson. 81, 284-287.