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Systematic Generation and Detection of High Diffusional Eigenmodes at Low Magnetic Fields

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Abstract

To characterize a porous medium, it is essential to determine the geometry of its pore space as it controls key properties such as permeability. A standard approach is to saturate the pore space with a fluid and perform NMR relaxation measurements. The standard measurements are sensitive to the low-lying diffusion eigenmodes and they allow an estimation of the pore size distribution. To obtain more complete information about the pore geometry including connectivity, it is necessary to determine the entire set of eigenmodes. Towards this goal, we present here a new approach to excite and detect higher eigenmodes that are not visible in standard relaxation measurements. The method is based on a two-dimensional pulse sequence that incorporates a pair of gradient pulses. The validity of our methodology was tested on a sample of bulk water that has an eigenmode spectrum that is known. We also demonstrate the detection of higher eigenmodes in a sandstone core that has a more complex geometry of the pore space and associated eigenmode spectrum.

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References

  1. Y.Q. Song, L. Venkataramanan, M.D. Hürlimann, M. Flaum, P. Frulla, C. Straley, J. Magn. Reson. 154, 261–268 (2002)

    Article  ADS  Google Scholar 

  2. P.J. McDonald, J.-P. Korb, J. Mitchell, L. Monteilhet, Phys. Rev. E 72, 011409 (2005)

    Article  ADS  Google Scholar 

  3. K.R. Brownstein, C.E. Tarr, Phys. Rev. A 19, 2446 (1979)

    Article  ADS  Google Scholar 

  4. M. Kac, Am. Math. Mon. 73, 1 (1966)

    Article  Google Scholar 

  5. Y.Q. Song, Concepts Magn. Reson. Part A 18A, 97–110 (2003)

    Article  Google Scholar 

  6. N.V. Lisitza, Y.Q. Song, J. Chem. Phys. 114, 9120–9124 (2001)

    Article  ADS  Google Scholar 

  7. Y.-Q. Song, L. Zielinski, S. Ryu, Phys. Rev. Lett. 100, 248002 (2008)

    Article  ADS  Google Scholar 

  8. M.D. Hürlimann, L. Venkataramanan, J. Magn. Reson. 157, 31–42 (2002)

    Article  ADS  Google Scholar 

  9. L. Marinelli, M.D. Hurlimann, P.N. Sen, J. Chem. Phys. 118, 8927–8940 (2003)

    Article  ADS  Google Scholar 

  10. G. Leu, E.J. Fordham, M.D. Hürlimann, P. Frulla, Magn. Reson. Imaging 23, 305–309 (2005)

    Article  Google Scholar 

  11. Z.-X. Luo, J. Paulsen, Y.-Q. Song, J. Magn. Reson. 259, 146–152 (2015)

    Article  ADS  Google Scholar 

  12. L. Venkataramanan, Y.Q. Song, M.D. Hürlimann, IEEE Trans. Signal Process. 50, 1017–1026 (2002)

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Universidade Federal Fluminense, Niteroi, Rio de Janeiro, Brazil

    Patrick Pereira Machado, Rodrigo Bagueira & Victor Ruiz Ahón

  2. Schlumberger Brazil Technology Integration Center, Rio de Janeiro, Brazil

    Patrick Pereira Machado & Andre Souza

  3. Schlumberger-Doll Research, Cambridge, MA, USA

    Martin Hürlimann

Authors
  1. Patrick Pereira Machado
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  2. Andre Souza
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  3. Rodrigo Bagueira
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  4. Victor Ruiz Ahón
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  5. Martin Hürlimann
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Correspondence to Patrick Pereira Machado.

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Machado, P.P., Souza, A., Bagueira, R. et al. Systematic Generation and Detection of High Diffusional Eigenmodes at Low Magnetic Fields. Appl Magn Reson 51, 11–21 (2020). https://doi.org/10.1007/s00723-019-01166-0

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  • DOI: https://doi.org/10.1007/s00723-019-01166-0

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