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Numerical simulation of (T 2, T 1) 2D NMR and fluid responses

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Abstract

One-dimensional nuclear magnetic resonance (1D NMR) logging technology is limited for fluid typing, while two-dimensional nuclear magnetic resonance (2D NMR) logging can provide more parameters including longitudinal relaxation time (T 1) and transverse relaxation time (T 2) relative to fluid types in porous media. Based on the 2D NMR relaxation mechanism in a gradient magnetic field, echo train simulation and 2D NMR inversion are discussed in detail. For 2D NMR inversion, a hybrid inversion method is proposed based on the damping least squares method (LSQR) and an improved truncated singular value decomposition (TSVD) algorithm. A series of spin echoes are first simulated with multiple waiting times (T W s) in a gradient magnetic field for given fluid models and these synthesized echo trains are inverted by the hybrid method. The inversion results are consistent with given models. Moreover, the numerical simulation of various fluid models such as the gas-water, light oil-water, and vicious oil-water models were carried out with different echo spacings (T E s) and T W s by this hybrid method. Finally, the influences of different signal-to-noise ratios (SNRs) on inversion results in various fluid models are studied. The numerical simulations show that the hybrid method and optimized observation parameters are applicable to fluid typing of gas-water and oil-water models.

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References

  • Bi, L. R., 2007, Latest advances in NMR logging technology: Chinese Journal of Engineering Geophysics, 4(4), 369–374.

    Google Scholar 

  • Coates, G. R., Xiao, L. Z., and Prammer, M. G., 1998, NMR logging principle & applications: Gulf Publishing Company, Texas.

    Google Scholar 

  • Dunn, K. J., and Latorraca, G. A., 1999, The inversion of NMR log data sets with different measurement errors: Journal of Magnetic Resonance, 140, 153–161.

    Article  Google Scholar 

  • Gu, Z. B., and Liu, W., 2007, The inversion of two-dimensional NMR map: Chinese Journal of Magnetic Resonance, 24(3), 311–319.

    Google Scholar 

  • Gu, Z. B., Liu, W., and Sun, D. Q., 2009, Application of 2D NMR techniques in petroleum logging: Chinese Journal of Magnetic Resonance, 26(4), 560–568.

    Google Scholar 

  • Hurlimann, M. D., Venkataramanan, L., and Flaum, C., et al., 2002, Diffusion-editing: New NMR measurement of saturation and pore geometry: Paper FFF in 43rd Annual Symposium of SPWLA, Oiso, Japan, June 3–6.

  • Liu, J. S., and Liu, F. T., 2006, Seismic tomography LSQR algorithm parallelization: Geophysics, 49(2), 540–545.

    Google Scholar 

  • Shao, W. Z., 2003, On the effect of NMR differential and shifted spectrum method in laboratory: Well Logging Technology, 27(6), 502–507.

    Google Scholar 

  • Sun, B. Q., and Dunn, K. J., 2005, A global inversion method for multi-dimensional NMR logging: Journal of Magnetic Resonance, 40(2), 152–160.

    Article  Google Scholar 

  • Tan, M. J., Zhao, W. J., and Fan, Y. R., 2006, Identification of reservoir fluid with double-T w NMR logging activity properties: Natural Gas Industry, 26(4), 38–40.

    Google Scholar 

  • Tan, M. J., Shi, Y. L., and Zhao, W. J., et al., 2008, A joint inversion method for NMR dual-T w logging data and fluid typing: Chinese Journal of Geophysics, 51(5), 1100–1109.

    Google Scholar 

  • Tan, M. J., Zou, Y. L., and Liu, B. K., et al., 2011, Inversion simulation of (T 2,D) 2D NMR logging and analysis of observation parameters effects in gas-water model: Well Logging Technology, 35(2), 130–136.

    Google Scholar 

  • Wang, Z. D., Wang, H., and Xiang, T. D., 2001, Integration of NMR DT w logs and DT E logs to improve the oil bed interpretation accuracy: Well Logging Technology, 25(5), 365–368.

    Google Scholar 

  • Xiao, L. Z., 1998, Nuclear magnetic imaging logging, rock NMR experiment and applications: Science Press, Beijing.

    Google Scholar 

  • Xiao, L. Z., 2007, Some important issues for NMR logging applications in China: Well Logging Technology, 31(5), 401–407.

    Google Scholar 

  • Xie, R. H., Xiao, L. Z., Dunn, K. J., et al., 2005, Two-dimensional NMR logging: Well Logging Technology, 29(5), 430–434.

    Google Scholar 

  • Xie, R. H., Xiao, L. Z., and Fu, S. Q., et al., 2007, Experimental study on nuclear magnetic resonance relaxation characteristic of crude oil at variable temperature: Journal of China University of Petroleum, 31(4), 34–37.

    Google Scholar 

  • Xie, R. H., Xiao, L. Z., and Lu, D. W., 2009, (T 2, T 1) Two-dimensional NMR method for fluid typing: Well Logging Technology, 33(1), 10–20.

    Google Scholar 

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

    Google Scholar 

  • Yang, W., Liu, S. X., and Feng, Y. Q., 2008, Crosshole tomography LSQR algorithm: Geophysical and Geochemical Exploration, 32(2), 199–202.

    Google Scholar 

  • Yun, H. Y., and Tan, M. J., 2006, Observation way and analytical approach of dual waiting time by nuclear magnetic resonance logging: Petroleum Geology and Recover Efficiency, 13(4), 96–98.

    Google Scholar 

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The work is sponsored by the National Natural Science Foundation of China (41172130), the Fundamental Research Funds for the Central Universities (2-9-2012-48), the National Major Projects (No. 2011ZX05014-001), and CNPC Innovation Foundation (No. 2011D-5006-0305).

Tan Mao-Jin, an Associate Professor at China University of Geosciences (Beijing). He gained a PhD at China University of Petroleum in 2006 and was a postdoctoral fellow of GUCAS in Geophysics from 2006 to 2008. He is interested in well logging theory and logging interpretation and evaluation of complex reservoirs.

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Tan, MJ., Zou, YL., Zhang, JY. et al. Numerical simulation of (T 2, T 1) 2D NMR and fluid responses. Appl. Geophys. 9, 401–413 (2012). https://doi.org/10.1007/s11770-012-0351-3

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  • DOI: https://doi.org/10.1007/s11770-012-0351-3

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