Skip to main content
Log in

A novel efficient inversion method for three-dimensional NMR and the optimization of activation sequences and acquisition parameters

  • Original paper
  • Published:
Computational Geosciences Aims and scope Submit manuscript

Abstract

A three-dimensional (3D) nuclear magnetic resonance (NMR) spectrum can simultaneously provide distributions of longitudinal relaxation time (T1), transverse relaxation time (T2), and diffusivity (D); thus, it greatly improves the capacity of fluid identification, typing, and quantitative evaluations. However, several challenges that significantly hinder the widespread application of this technique remain. The primary challenges are the high time and memory costs associated with the current 3D NMR inversion algorithms. In addition, an activation sequence optimization method for 3D NMR inversions has not been developed. In this paper, a novel inversion method for 3D NMR spectra and a detailed optimization method for activation sequences and acquisition parameters were proposed. The novel method, namely randomized singular value decomposition (RSVD) inversion algorithm, can reduce memory requirements and ensure computational efficiency and accuracy. Window averaging (WA) technique was also adopted in this study to further increase computational speed. The optimized method for pulse sequences is mainly based on projections of the 3D NMR spectra in the two-dimensional (2D) and one-dimensional (1D) domains. These projections can identify missing NMR properties of different fluids. Because of the efficiency and stability of this novel algorithm and the optimized strategy, the proposed methods presented in this paper could further promote the widespread application of 3D NMR.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chen, J., Chen, S., Smith, E., Shao, W., Itter, D.: Determination of gas-oil ratio and live-oil viscosity from NMR log incorporating oil-based mudfiltrate invasion. Presented at the SPWLA 51st Annual Logging Symposium, Perth (2010)

    Google Scholar 

  2. Dunn, K.J., Bergman, D.J., Latorraca, G.A.: Nuclear magnetic resonance: petrophysical and logging applications, vol. 32, p 293. Hand book of Geophysical Exploration: Section I Seismic Exploration, Pergamon (2002)

    Google Scholar 

  3. Dunn, K.J., Latorraca, G.A.: The inversion of NMR log data sets with different measurement errors. J. Magn. Reson. 140, 153–161 (1999)

    Article  Google Scholar 

  4. Gu, Z.B., Liu, W.: The inversion of two-dimensional NMR map. Chin. J. Magn. Reson. 24(3), 311–319 (2007)

    Google Scholar 

  5. George, R, Coates, X.L.Z., et al.: NMR logging principle and applications. Halliburton Energy Services (1998)

  6. Hurlimann, M.D., Venkataramanan, L.: Quantitative measurement of two-dimensional distribution functions of diffusion and relaxation in grossly inhomogeneous fields. J. Magn. Reson. 157, 31–42 (2002)

    Article  Google Scholar 

  7. Hursan, G., Chen, S., Murphy, E.: New NMR two-dimensional inversion of T1/T2 app method for gas well petrophysical interpretation. Presented at the SPWLA 46th Annual Logging Symposium, New Orleans (2005)

    Google Scholar 

  8. Lessenger, M., Murkel, D., Medina, R., Ramakrishna, S., Chen, S., Balliet, R., Xie, H., Bhattad, P., Carnerup, A., Knackstedt, M.: Subsurface fluid characterization using downhole and core NMR T1/T2 maps combined with pore-scale imaging techniques. Presented at the SPWLA 56th Annual Logging Symposium, Long Beach (2015)

    Google Scholar 

  9. Medellín, D., Ravi, V.R., Torres-Verdín, C.: Multidimensional NMR inversion without Kronecker products: multilinear inversion. J. Magn. Reson. 269, 24–35 (2016)

    Article  Google Scholar 

  10. Chen, S., Shao, W., Balliet, R.: New robust multidimensional NMR inversion methods for improving fluid typing and rock characterization. Presented at the SPWLA 57th Annual Logging Symposium, Reykjavik (2016)

    Google Scholar 

  11. Chen, S., Shao, W., Balliet, R.: New approaches of 3D NMR inversion for improving fluid typing. Interpretation 3(2), SF67–SF79 (2016)

    Article  Google Scholar 

  12. Sun, B., Duun, K.J., Bilodeau, B.J., Van Dalen, S.C., Stonard, S.W.: Two-dimensional NMR logging and field test results. Presented at the SPWLA 45th Annual Logging Symposium, Noordwijk (2004)

    Google Scholar 

  13. Sun, B.Q., Dunn, K.J.: A global inversion method for multi-dimensional NMR logging. J. Magn. Reson. 40(2), 152–160 (2005)

    Article  Google Scholar 

  14. Tan, M.J., Zou, Y.L.: Two-dimensional nuclear magnetic resonance hybrid inversion method and observation parameters affected. Chin. Geophys. 55(2), 668–673 (2012)

    Google Scholar 

  15. Tan, M., Wang, P., Mao, K.: Comparative study of inversion methods of three-dimensional NMR and sensitivity to fluids. J. Appl. Geophys. 103, 12–30 (2014)

    Article  Google Scholar 

  16. Xiao, L.Z.: NMR imaging logging principle and NMR petrophysics experiment (in Chinese). Beijing Science Press, Beijing (1998)

  17. Xie, R.H., Xiao, L.Z.: Two-dimensional NMR logging method for identifying reservoir fluids. Geophysics 52(9), 2410–2418 (2009)

    Google Scholar 

Download references

Funding

This work was supported by the National Natural Science Foundation of China (nos. 41474100 and 41674131), National Key Foundation for Exploring Scientific Instrument of China (2013YQ170463), and Fundamental Research Funds for the Central Universities (16CX06048A).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xufei Hu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hu, X., Fan, Y., Sun, H. et al. A novel efficient inversion method for three-dimensional NMR and the optimization of activation sequences and acquisition parameters. Comput Geosci 22, 867–883 (2018). https://doi.org/10.1007/s10596-018-9730-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10596-018-9730-z

Keywords

Navigation