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Multi-scale recurrence plot analysis of inclined oil-water two phase flow structure based on conductance fluctuation signals


The measurement of flow parameters in inclined oil-water two phase flow system is greatly affected by the complex flow structure. Based on conductance fluctuation signals from the vertical multiple electrode array sensor, the signal characteristic in time and frequency domain are analyzed firstly, then, the recurrence plot texture of inclined water dominated counter flow pattern and transitional flow pattern are studied by multi-scale recurrence plots analysis, and the performance of flow pattern classification based on this method is validated by chaotic attractor morphological description method. The results show that the texture evolvement of multi-scale recurrence plots corresponds to flow pattern transition, especially the complex inclined water dominated oil-water two phase flow structure can be identified from the trend of multi-scale recurrence rate. This study shows that the multi-scale recurrence plots analysis is a valuable tool to characterize the inclined oil-water two phase flow structure.

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  • A.D. Hill, T. Oolman, J. Petrol. Tech. 34, 2432 (1982)

    Google Scholar 

  • G.P. Lucas, N.D. Jin, Meas. Sci. Technol. 12, 1529 (2001)

    Google Scholar 

  • J.G. Flores, C. Sarica, T.X. Chen, J.P. Brill, J. Energy Resour. Technol. 120, 8 (1998)

    Google Scholar 

  • F. Zavareh, A.D. Hill, A.L. Podio, Paper SPE 18215, 63rd Annual Technical Conference and Exhibition (Houston, Texas, 1988)

  • P. Tabeling, O. Pouliquen, B. Theron, G. Catala, Proceedings of the BHRG 5th International Conference on Multiphase Flow Production (Cannes, France, 1991), p. 294

  • S.D. Mobbs, G.P. Lucas, Appl. Sci. Res. 51, 263 (1993)

    Google Scholar 

  • J.G. Flores, X.T. Chen, Cem Sarica, J.P. Brill, SPE Annual Technical Conference and Exhibition in San Antonio (Texas, 1997), p. 601

  • N.D. Jin, X.B. Nie, Y.Y. Ren, X.B. Liu, Flow. Meas. Instrum. 14, 169 (2003)

    Google Scholar 

  • N.D. Jin, G.B. Zheng, F. Dong, W.P. Chen, Lect. Notes Comp. Sci., Proc. FSKD 4223 (Springer-Verlag, Berlin, 2006), p. 1213

  • A.K. Jana, G. Das, P.K. Das, Chem. Eng. Sci. 61, 1500 (2006)

  • G.B. Zhao, Y.R. Yang, AIChE J. 49, 869 (2003)

    Google Scholar 

  • H.J. Wu, F.D. Zhou, Y.Y. Wu, Int. J. Multiphase Flow 27, 459 (2001)

    Google Scholar 

  • D.P. Chakrabarti, G. Das, P.K. Das, Chem. Eng. Sci. 62, 1861 (2007)

    Google Scholar 

  • N.D. Jin, Z. Xin, J. Wang, Z.Y. Wang, X.H. Jia, W.P. Chen, Meas. Sci. Technol. 19, 045403 (2008)

    Google Scholar 

  • I. Daubechies, Commun. Pure Appl. Math. 41, 909 (1988)

    Google Scholar 

  • F. Takens, Lect. Notes Math. 898 (Springer-Verlag, Berlin, 1981), p. 366

  • J.P. Eckmann, S.O. Kamphorst, D. Ruelle, Europhys. Lett. 5, 973 (1987)

  • N. Marwan, N. Wessel, J. Kurths, Phys. Rev. E 66, 026702 (2002)

  • N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Phys. Rep. 438, 237 (2007)

    Google Scholar 

  • J.P. Zbilut, N. Thomasson, C.L. Webber, Med. Eng. Phys. 24, 53 (2002)

    Google Scholar 

  • E.N. Lorenz, J. Atmos. Sci. 20, 130 (1963)

    Google Scholar 

  • J.P. Zbilut, C.L. Webber, Phys. Lett. A 171, 199 (1992)

    Google Scholar 

  • C.L. Webber, J.P. Zbilut, J. Appl. Phys. 76, 965 (1994)

    Google Scholar 

  • M.A. Riley, R. Balasubramaniam, M.T. Turvey, Gait. Posture 9, 65 (1999)

    Google Scholar 

  • J.B. Franch, D. Contreras, L.T. Lledo, Physica D 171, 249 (2002)

    Google Scholar 

  • A. Facchini, C. Mocenni, N. Marwan, A. Vicino, E. Tiezzi, Ecol. Model. 203, 339 (2007)

  • M. Annunziato, H.D.I. Abarbanel, Proceedings of International Conference on Soft Computing, SOCO (Genova, Italy, 1999)

  • F.X. Llauró, M.F. Llop, Int. J. Multiphase Flow 32, 1397 (2006)

    Google Scholar 

  • N. Xiao, N.D. Jin, Acta Phys. Sin. 56, 5149 (2007)

    Google Scholar 

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Zong, Y., Jin, N. Multi-scale recurrence plot analysis of inclined oil-water two phase flow structure based on conductance fluctuation signals. Eur. Phys. J. Spec. Top. 164, 165–177 (2008).

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  • European Physical Journal Special Topic
  • Power Spectrum Density
  • Line Texture
  • Incline Angle
  • Recurrence Plot