Skip to main content
Log in

Nuclear magnetic resonance T2 spectrum: multifractal characteristics and pore structure evaluation

  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

Pore structure characteristics are important to oil and gas exploration in complex low-permeability reservoirs. Using multifractal theory and nuclear magnetic resonance (NMR), we studied the pore structure of low-permeability sandstone rocks from the 4th Member (ES4) of the Shahejie Formation in the south slope of the Dongying Sag. We used the existing pore structure data from petrophysics, core slices, and mercury injection tests to classify the pore structure into three categories and five subcategories. Then, the T2 spectra of samples with different pore structures were interpolated, and the one- and three-dimensional fractal dimensions and the multifractal spectrum were obtained. Parameters α (intensity of singularity) and f (α) (density of distribution) were extracted from the multifractal spectra. The differences in the three fractal dimensions suggest that the pore structure types correlate with α and f (α). The results calculated based on the multifractal spectrum is consistent with that of the core slices and mercury injection. Finally, the proposed method was applied to an actual logging profile to evaluate the pore structure of low-permeability sandstone reservoirs.

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

  • Angulo, R. F., Alvaraso, V., and Gonzalea, H., 1992, Fractal dimensions from mercury intrusion capillary tests: The Second Latin American Petroleum Engineering Conference, II LAPEC, of the Society of Petroleum Engineers, SPE 23695 255–263.

    Google Scholar 

  • Avnir, D., Farin D., and Pfeifer P., 1984, Molecular fractal surfaces: Nature, 308(5956), 261–263.

    Google Scholar 

  • Chhabra, A., and Jensen, R. V., 1989, Direct determination of the f(α) singularity spectrum: Physical Review Letters, 62(12), 1327–1330.

    Google Scholar 

  • Falconer, K. J., 1985, The geometry of fractal sets: Cambridge, England.

    Book  Google Scholar 

  • Ge, X. M., Fan, Y. R., Li, J. T., et al., 2015, Pore structure characterization and classification using multifractal theoryAn application in Santanghu basin of western China: Journal of Petroleum Science and Engineering, 127 297–304.

    Google Scholar 

  • Hansen, J. P., and Skjeltorp, A. T., 1988, Fractal pore space and rock permeability implications: Physical Review B, 38(4), 2635–2638.

    Google Scholar 

  • He, Y. D., Mao,Z. Q., Xiao, L. Z., et al., 2005, An improved method of using NMR T 2 distribution to evaluate pore size distribution: Chinese Journal of

    Google Scholar 

  • Hu, F. L, Zhou, C., Li, C. L., et al., 2016, Water spectrum method of NMR logging for identifying fluids: Petroleum Exploration and Development, 43(2), 244–252.

    Google Scholar 

  • Katz, A. J., and Thompson, A. H., 1985, Fractal sandstone pores: Implications for conductivity and pore formation: Physical Review Letters, 54(12), 1325–1328.

    Google Scholar 

  • Krohn, C. E., 1988, Sandstone fractal and euclidean pore volume distributions: Journal of Geophysical Research-Solid Earth and Planets, 93(B4), 3286–3296.

    Google Scholar 

  • Li, J. H., and Zheng B., 2015, A New method for fractal characterization of microscopic pores and its application in shale reservoirs: Natural Gas Industry, 2015, 35(5), 52–59.

    Google Scholar 

  • Mandelbrot, B. B., 1977, Fractals: Form, Chance and Dimension, San Francisco, W. H. Freeman.

    Google Scholar 

  • Pape, H., Riepe, L., and Schopper, J. R., 1982, A pigeonholemodel for relating permeability to specific surface: The Log Analyst, 23(1), 5–13.

    Google Scholar 

  • Peng, R. D., Yang Y. C., Ju, Y., et al., 2011, Computation of fractal dimension of rock pores based on gray CT images: Chinese Science Bulletin, 56(26), 2256–2266.

    Google Scholar 

  • Pfeifer, P., and Avnir, D., 1983, Chemistry in noninteger dimensions between two and three, fractal theory of heterogenous surface: Journal of Chemical Physics, 79(7), 3558–3565.

    Google Scholar 

  • Subhakar, D., and Chandrasekhar, E., 2016, Reservoir characterization using multifractal detrended fluctuation analysis of geophysical well-log data: Physica A, 445(1), 57–65.

    Google Scholar 

  • Tan, M. J., Mao, K. Y., Song, X. D., et al., 2015, NMR petrophsical interpretation method of gas shale on core NMR experiment: Journal of Petroleum Science and Engineering, 136 100–111.

    Google Scholar 

  • Tsakiroglou, C. D., and Fleury, M., 1999, Resistivity index of fractional wettability porous media: Journal of Petroleum Science and Engineering, 22 253–274.

    Google Scholar 

  • Volokitin, Y., Looyestigin, W. J., and Slijkerman, W. F. J., et al., 2001, A practical approach to obtain primary drainage capillary pressure curves from NMR core and log data: Petrophysics, 42(4), 334–343.

    Google Scholar 

  • Wang, K.W., and Li, N., 2008, Numerical simulation of rock pore throat structure effects on NMR T2 distribution, Applied Geophysics, 5(2), 86–91.

    Google Scholar 

  • Wen, H. M., 2003, Study of Fractal Log Interpretation Theory and Method: PhD Thesis, Chengdu University of Technology, Chengdu.

    Google Scholar 

  • Xiao, L. Z., 2007, Frontiers Investigation in Well Logging Science: Petroleum Industry Press, Beijing.

    Google Scholar 

  • Xiao, L. Z., and Zhang, W., 2008, A new method to construct reservoir capillary pressure curves using NMR log data and its application: Applied Geophysics, 5(2), 92–98.

    Google Scholar 

  • Xie, S. Y., He, Z. L., Qiang, Y. X., et al., 2015, Multifractality of 3D pore structures of carbonate rocks based on CT images: Journal of Geology, 39(1), 4653.

    Google Scholar 

  • Xu, Z. X., 2014, Heterogeneity of shale reservoirs based on CT images: Lithologic Reservoirs, 26(6), 46–49.

    Google Scholar 

  • Yun, H. Y., Zhao, W. J., Liu, B. K., et al., 2002, Researching Rock Pore Structure with T2 Distribution: Well Logging Technology, 26(1), 18–21.

    Google Scholar 

  • Zhang, C. M., Chen, Z. B., Zhang, Z. S., et al., 2007, Fractal Characteristics of Reservoir Rock Pore Structure based on NMR T 2 Distribution: Journal of Oil and Gas Technology, 29(4), 80–86.

    Google Scholar 

  • Zhou, L., and Kang, Z., 2016, Fractal characterization of pores in shales using NMR: A case study from the Lower Cambrian Niutitang Formation in the Middle Yangtze, Platform, Southwest China: Journal of Natural Gas Science and Engineering, 35(Part A), 860–872.

    Google Scholar 

  • Zhou, S., Liu, D., M., Cai, Y. D., et al., 2016, Fractal characterization of pore–fracture in low-rank coals using a low-field NMR relaxation method: Fuel, 181 218–226.

    Google Scholar 

Download references

Acknowledgments

We would also like to thank Hu Falong and Tan Maojin for the constructive suggestions that significantly improved the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian-Ping Yan.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 41202110) and Open Fund of State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation (Southwest Petroleum University) (Grant No. PLN201612), the Applied Basic Research Projects in Sichuan Province (Grant No. 2015JY0200) and Open Fund Project from Sichuan Key Laboratory of Natural Gas Geology (Grant No. 2015trqdz07).

Yan Jian-Ping, associate professor, graduated in 2004 from China University of Petroleum (Hua Dong) with a degree in Exploration Technology and Engineering. Subsequently, he received his master’ s in Earth Exploration and Information Technology in 2007 and Ph.D. in Marine Geology from Tongji University in 2010. His research interests are rock physics and evaluation of unconventional reservoirs.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yan, JP., He, X., Geng, B. et al. Nuclear magnetic resonance T2 spectrum: multifractal characteristics and pore structure evaluation. Appl. Geophys. 14, 205–215 (2017). https://doi.org/10.1007/s11770-017-0614-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-017-0614-0

Keywords

Navigation