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NMR propagator measurements on flow through a random pack of porous glass beads and how they are affected by dispersion, relaxation, and internal field inhomogeneities

U. M. Scheven*

J. G. Seland and D. G. Cory

  • Schlumberger-Doll Research, 36 Old Quarry Road, Ridgefield, Connecticut 06877, USA

  • Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Electronic address: scheven@slb.com

Phys. Rev. E 69, 021201 – Published 20 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.021201

Abstract

We flow water through a pack of porous glass beads and employ NMR to measure molecular displacement distributions—the propagators—in the Stokes flow regime. Fluid is flowed over several evolution times to attain fixed mean displacements, and the time dependence of the resulting propagators is analyzed for the effects of diffusion, NMR relaxation, and signal loss due to internal fields. We delineate and illustrate the experimental regimes in which these different effects make their presence felt. Simulations on a simple model system reproduce the essential features of our experimental results and provide insight into the mechanisms shaping the propagators.

References (23)

  1. G.I. Taylor, Proc. R. Soc. London, Ser. A 219, 186 (1953).
  2. G.I. Taylor, Proc. R. Soc. London, Ser. A 225, 473 (1954).
  3. P.G. Saffman, J. Fluid Mech. 6, 321 (1959).
  4. P.G. Saffman, J. Fluid Mech. 6, 194 (1960).
  5. P.-G. de Gennes, J. Fluid Mech. 136, 189 (1983).
  6. E.O. Stejskal and J.E. Tanner, J. Chem. Phys. 42, 288 (1965).
  7. P.P. Mitra, P.N. Sen, L.M. Schwartz, and P. Le Doussal, Phys. Rev. Lett., 68, 3555 (1992).
  8. J. Kärger and W. Henk, J. Magn. Reson. (1969-1992) 51, 1 (1983).
  9. E. Charlaix, J.P. Hulin, and T.J. Plona, Phys. Fluids 30, 1690 (1987).
  10. J.-P. Hulin and D. Salin, Experimental Methods in Physical Sciences 35 (Academic Press, New York, 1999).
  11. L. Lebon, L. Oger, J. Leblond, J.-P. Hulin, N.S. Martys, and L.M. Schwartz, Phys. Fluids, 8, 293 (1996).
  12. J.D. Seymour and P.T. Callaghan, J. Magn. Reson., Ser. A 122, 90 (1996).
  13. J.J. Tessier, K.J. Packer, F.-F. Thovert, and P.M. Adler, AIChE J. 43, 1653 (1997).
  14. B. Manz, P. Alexander, and L.F. Gladden, Phys. Fluids 11, 259 (1999).
  15. G. A. Barrall, Ph.D. thesis, University of California, Berkeley, 1995.
  16. D. Kandhai, D. Hlushkou, A.G. Hoekstra, P.M.A. Sloot, H. Van As, and U. Tallarek, Phys. Rev. Lett. 88, 234501 (2002).
  17. U.M. Scheven and P.N. Sen, Phys. Rev. Lett. 89, 254501 (2002).
  18. K.H. Coats and B.D. Smith, Soc. Pet. Eng. J., p. 73 (March, 1964) (available at www.spe.org as Report No. SPE-674).
  19. L. Lebon and J. Leblond, J. Magn. Reson. 159, 13 (2002).
  20. CPG03000A supplied by CPG Inc.
  21. R.M. Cotts, M.J.R. Hoch, T. Sun, and J.T. Markert, J. Magn. Reson. (1969-1992) 83, 252 (1989).
  22. Y. Song, Phys. Rev. Lett. 85, 3878 (2000).
  23. M. Toda, R. Kubo, and N. Saito, Statistical Physics II, 2nd ed. (Springer-Verlag, Berlin, 1991).

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