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Multiscale permutation entropy analysis of oil-in-water type two-phase flow pattern

Du Meng Jin Ning-De Gao Zhong-Ke Zhu Lei Wang Zhen-Ya

Multiscale permutation entropy analysis of oil-in-water type two-phase flow pattern

Du Meng, Jin Ning-De, Gao Zhong-Ke, Zhu Lei, Wang Zhen-Ya
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  • We investigate the dynamic characteristics of vertical upward water-dominant oil-water two-phase flow by multiscale permutation entropy algorithm. We first measure the two-phase flow conductance fluctuation signals in a 20 mm inner-diameter pipe. Then we calculate the multiscale permutation entropies for different water-dominant flow patterns. The results indicate that multiscale permutation entropy rate and average of mutiscale permutation entropy can be used as quantitative parameters for measuring complexity of water dominant oil-water two-phase flow. In addition, we propose a new approach to identify different water-dominant flow patterns by using the joint distribution of multiscale permutation entropy rate and cumulant of increment series.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 41174109, 50974095, 61104148), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006).
    [1]

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

    [2]

    Lucas G P, Panagiotopoulos N 2009 Flow Meas. Instrum. 20 127

    [3]

    Gao H, Gu H Y, Guo L J 2003 Int. J. Heat Mass Transf. 46 749

    [4]

    Brauner N, Ullmann A 2002 Int. J. Multiphase Flow 28 1177

    [5]

    Rouhani S Z, Sohal M S 1983 Prog. Nucl. Energ. 11 219

    [6]

    Jones O C, Zuber N 1975 Int. J. Multiphase Flow 2 273

    [7]

    Vincea M A, Lahey Jr R T 1982 Int. J. Multiphase Flow 8 93

    [8]

    Chakrabarti D P, Das G, Das P K 2006 AIChE J. 52 3668

    [9]

    Nguyen V T, Euh D J, Song C H 2010 Int. J. Multiphase Flow 36 755

    [10]

    Ding H, Huang Z, Song Z, Yan Y 2007 Flow Meas. Instrum. 18 37

    [11]

    He Z, Zhang D, Cheng B, Zhang W 1997 AIChE J. 43 345

    [12]

    Sun B, Wang E P, Zheng Y J 2011 Acta Phys. Sin. 60 014701 (in Chinese) [孙斌, 王二鹏, 郑永军 2011 物理学报 60 014701]

    [13]

    Sun B, Wang E P, Ding Y, Bai H Z, Huang Y M 2011 Chin. J. Chem. Eng. 19 243

    [14]

    Li H W, Zhou Y L, Liu X, Sun B 2012 Acta Phys. Sin. 61 030508 (in Chinese) [李洪伟, 周云龙, 刘旭, 孙斌 2012 物理学报 61 030508]

    [15]

    Sæther G, Bendiksen K, Müller J, Froland E 1990 Int. J. Multiphase Flow 16 1117

    [16]

    Franca F, Acikgoz M, Lahey R T, Clausse A 1991 Int. J. Multiphase Flow 17 545

    [17]

    Oddie G M 1991 Flow Meas. Instrum. 2 225

    [18]

    Yuan Z L, Shen X L, Xu Y Q 1994 Science in China A 24 986 (in Chinese) [袁竹林, 沈湘林, 徐益谦 1994 中国科学(A辑) 24 986]

    [19]

    Xiao N, Jin N D 2007 Acta Phys. Sin. 56 5149 (in Chinese) [肖楠, 金宁德 2007 物理学报 56 5149]

    [20]

    Lee J Y, Kim N S, Ishii M 2008 Nucl. Eng. Des. 238 945

    [21]

    Govier G W, Sullivan G A, Wood R K 1961 Can. J. Chem. Eng. 4 67

    [22]

    Flores J G, Chen X T, Sarica C, Brill J P 1999 SPE Prod. Facil. 14 102

    [23]

    Du M, Jin N D, Gao Z K, Wang Z Y, Zhai L S 2012 Int. J. Multiphase Flow 41 91

    [24]

    Cao B, Lü X Q, Zeng M, Wang Z M, Huang S S 2006 Acta Phys. Sin. 55 1696 (in Chinese) [曹彪, 吕小青, 曾敏, 王振民, 黄石生 2006 物理学报 55 1696]

    [25]

    Li Q, Wang T Y, Leng Y G, He G Y, He H L 2007 Acta Phys. Sin. 56 6803 (in Chinese) [李强, 王太勇, 冷永刚, 何改云, 何慧龙 2007 物理学报 56 6803]

    [26]

    Zhuang J J, Ning X B, Zou M, Sun B, Yang X 2008 Acta Phys. Sin. 57 2805 (in Chinese) [庄建军, 宁新宝, 邹鸣, 孙飙, 杨希 2008 物理学报 57 2805]

    [27]

    Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 物理学报 57 1976]

    [28]

    He W P, Wu Q, Zhang W, Wang Q G, Zhang Y 2009 Acta Phys. Sin. 58 2862 (in Chinese) [何文平, 吴琼, 张文, 王启光, 张勇 2009 物理学报 58 2862]

    [29]

    Zhang C T, Ma Q L, Peng H 2010 Acta Phys. Sin. 59 7623 (in Chinese) [张春涛, 马千里, 彭宏 2010 物理学报 59 7623]

    [30]

    Zhang C T, Ma Q L, Peng H, Jiang Y Y 2011 Acta Phys. Sin. 60 020508 (in Chinese) [张春涛, 马千里, 彭宏, 姜友谊 2010 物理学报 60 020508]

    [31]

    Zhang W C, Yang L J, Lü X Q 2011 Acta Phys. Sin. 60 020601 (in Chinese) [张伟超, 杨立军, 吕小青 2011 物理学报 60 020601]

    [32]

    He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 物理学报 60 049202]

    [33]

    Shen W, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 物理学报 60 118702]

    [34]

    Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102

    [35]

    Costa M, Goldberger A L, Peng C K 2005 Phys. Rev. E 71 021906

    [36]

    Zheng G B, Jin N D 2009 Acta Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德 2009 物理学报 58 4485]

    [37]

    Costa M, Peng C K, Goldberger A L 2003 Physica A 330 53

    [38]

    He L, Du L, Zhuang Y Q, Li W H, Chen J P 2008 Acta Phys. Sin. 57 6545 (in Chinese) [何亮, 杜磊, 庄奕琪, 李伟华, 陈建平 2008 物理学报 57 6545]

    [39]

    Li Z W, Zhang Y K 2008 Stoch. Environ. Res. Risk. Assess. 22 507

    [40]

    Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林, 崔胜忠, 宁新宝, 卞春华 2009 物理学报 58 8160]

    [41]

    Yan B G, Zhao T T 2011 Acta Phys. Sin. 60 078701 (in Chinese) [严碧歌, 赵婷婷 2011 物理学报 60 078701]

    [42]

    Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102

    [43]

    Sun K H, Tan G Q, Sheng L Y 2008 Acta Phys. Sin. 57 3359 (in Chinese) [孙克辉, 谈国强, 盛利元 2008 物理学报 57 3359]

    [44]

    Cao Y, Tung W, Gao J B 2004 Phys. Rev. E 70 046217

    [45]

    Hou W, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2663 (in Chinese) [侯威, 封国林, 董文杰, 李建平 2006 物理学报 55 2663]

    [46]

    Zunino L, Zanin M, Tabak B M, Pérez D G, Rosso O A 2009 Physica A 388 2854

    [47]

    Li D, Li X, Liang Z, Vossa L J, Sleigh J W 2010 J. Neural Eng. 7 046010

    [48]

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

    [49]

    Ashkenazy Y, Ivanov P C, Havlin S, Peng C K, Goldberger A L, Stanley H E 2001 Phys. Rev. Lett. 86 1900

    [50]

    Ashkenazy Y, Havlin S, Ivanov P C, Peng C K, Schulte-Frohlinde V, Stanley H E 2003 Physica A 323 19

  • [1]

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

    [2]

    Lucas G P, Panagiotopoulos N 2009 Flow Meas. Instrum. 20 127

    [3]

    Gao H, Gu H Y, Guo L J 2003 Int. J. Heat Mass Transf. 46 749

    [4]

    Brauner N, Ullmann A 2002 Int. J. Multiphase Flow 28 1177

    [5]

    Rouhani S Z, Sohal M S 1983 Prog. Nucl. Energ. 11 219

    [6]

    Jones O C, Zuber N 1975 Int. J. Multiphase Flow 2 273

    [7]

    Vincea M A, Lahey Jr R T 1982 Int. J. Multiphase Flow 8 93

    [8]

    Chakrabarti D P, Das G, Das P K 2006 AIChE J. 52 3668

    [9]

    Nguyen V T, Euh D J, Song C H 2010 Int. J. Multiphase Flow 36 755

    [10]

    Ding H, Huang Z, Song Z, Yan Y 2007 Flow Meas. Instrum. 18 37

    [11]

    He Z, Zhang D, Cheng B, Zhang W 1997 AIChE J. 43 345

    [12]

    Sun B, Wang E P, Zheng Y J 2011 Acta Phys. Sin. 60 014701 (in Chinese) [孙斌, 王二鹏, 郑永军 2011 物理学报 60 014701]

    [13]

    Sun B, Wang E P, Ding Y, Bai H Z, Huang Y M 2011 Chin. J. Chem. Eng. 19 243

    [14]

    Li H W, Zhou Y L, Liu X, Sun B 2012 Acta Phys. Sin. 61 030508 (in Chinese) [李洪伟, 周云龙, 刘旭, 孙斌 2012 物理学报 61 030508]

    [15]

    Sæther G, Bendiksen K, Müller J, Froland E 1990 Int. J. Multiphase Flow 16 1117

    [16]

    Franca F, Acikgoz M, Lahey R T, Clausse A 1991 Int. J. Multiphase Flow 17 545

    [17]

    Oddie G M 1991 Flow Meas. Instrum. 2 225

    [18]

    Yuan Z L, Shen X L, Xu Y Q 1994 Science in China A 24 986 (in Chinese) [袁竹林, 沈湘林, 徐益谦 1994 中国科学(A辑) 24 986]

    [19]

    Xiao N, Jin N D 2007 Acta Phys. Sin. 56 5149 (in Chinese) [肖楠, 金宁德 2007 物理学报 56 5149]

    [20]

    Lee J Y, Kim N S, Ishii M 2008 Nucl. Eng. Des. 238 945

    [21]

    Govier G W, Sullivan G A, Wood R K 1961 Can. J. Chem. Eng. 4 67

    [22]

    Flores J G, Chen X T, Sarica C, Brill J P 1999 SPE Prod. Facil. 14 102

    [23]

    Du M, Jin N D, Gao Z K, Wang Z Y, Zhai L S 2012 Int. J. Multiphase Flow 41 91

    [24]

    Cao B, Lü X Q, Zeng M, Wang Z M, Huang S S 2006 Acta Phys. Sin. 55 1696 (in Chinese) [曹彪, 吕小青, 曾敏, 王振民, 黄石生 2006 物理学报 55 1696]

    [25]

    Li Q, Wang T Y, Leng Y G, He G Y, He H L 2007 Acta Phys. Sin. 56 6803 (in Chinese) [李强, 王太勇, 冷永刚, 何改云, 何慧龙 2007 物理学报 56 6803]

    [26]

    Zhuang J J, Ning X B, Zou M, Sun B, Yang X 2008 Acta Phys. Sin. 57 2805 (in Chinese) [庄建军, 宁新宝, 邹鸣, 孙飙, 杨希 2008 物理学报 57 2805]

    [27]

    Wang Q G, Zhang Z P 2008 Acta Phys. Sin. 57 1976 (in Chinese) [王启光, 张增平 2008 物理学报 57 1976]

    [28]

    He W P, Wu Q, Zhang W, Wang Q G, Zhang Y 2009 Acta Phys. Sin. 58 2862 (in Chinese) [何文平, 吴琼, 张文, 王启光, 张勇 2009 物理学报 58 2862]

    [29]

    Zhang C T, Ma Q L, Peng H 2010 Acta Phys. Sin. 59 7623 (in Chinese) [张春涛, 马千里, 彭宏 2010 物理学报 59 7623]

    [30]

    Zhang C T, Ma Q L, Peng H, Jiang Y Y 2011 Acta Phys. Sin. 60 020508 (in Chinese) [张春涛, 马千里, 彭宏, 姜友谊 2010 物理学报 60 020508]

    [31]

    Zhang W C, Yang L J, Lü X Q 2011 Acta Phys. Sin. 60 020601 (in Chinese) [张伟超, 杨立军, 吕小青 2011 物理学报 60 020601]

    [32]

    He W P, He T, Cheng H Y, Zhang W, Wu Q 2011 Acta Phys. Sin. 60 049202 (in Chinese) [何文平, 何涛, 成海英, 张文, 吴琼 2011 物理学报 60 049202]

    [33]

    Shen W, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 物理学报 60 118702]

    [34]

    Costa M, Goldberger A L, Peng C K 2002 Phys. Rev. Lett. 89 068102

    [35]

    Costa M, Goldberger A L, Peng C K 2005 Phys. Rev. E 71 021906

    [36]

    Zheng G B, Jin N D 2009 Acta Phys. Sin. 58 4485 (in Chinese) [郑桂波, 金宁德 2009 物理学报 58 4485]

    [37]

    Costa M, Peng C K, Goldberger A L 2003 Physica A 330 53

    [38]

    He L, Du L, Zhuang Y Q, Li W H, Chen J P 2008 Acta Phys. Sin. 57 6545 (in Chinese) [何亮, 杜磊, 庄奕琪, 李伟华, 陈建平 2008 物理学报 57 6545]

    [39]

    Li Z W, Zhang Y K 2008 Stoch. Environ. Res. Risk. Assess. 22 507

    [40]

    Huang X L, Cui S Z, Ning X B, Bian C H 2009 Acta Phys. Sin. 58 8160 (in Chinese) [黄晓林, 崔胜忠, 宁新宝, 卞春华 2009 物理学报 58 8160]

    [41]

    Yan B G, Zhao T T 2011 Acta Phys. Sin. 60 078701 (in Chinese) [严碧歌, 赵婷婷 2011 物理学报 60 078701]

    [42]

    Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102

    [43]

    Sun K H, Tan G Q, Sheng L Y 2008 Acta Phys. Sin. 57 3359 (in Chinese) [孙克辉, 谈国强, 盛利元 2008 物理学报 57 3359]

    [44]

    Cao Y, Tung W, Gao J B 2004 Phys. Rev. E 70 046217

    [45]

    Hou W, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 2663 (in Chinese) [侯威, 封国林, 董文杰, 李建平 2006 物理学报 55 2663]

    [46]

    Zunino L, Zanin M, Tabak B M, Pérez D G, Rosso O A 2009 Physica A 388 2854

    [47]

    Li D, Li X, Liang Z, Vossa L J, Sleigh J W 2010 J. Neural Eng. 7 046010

    [48]

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

    [49]

    Ashkenazy Y, Ivanov P C, Havlin S, Peng C K, Goldberger A L, Stanley H E 2001 Phys. Rev. Lett. 86 1900

    [50]

    Ashkenazy Y, Havlin S, Ivanov P C, Peng C K, Schulte-Frohlinde V, Stanley H E 2003 Physica A 323 19

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  • Received Date:  14 March 2012
  • Accepted Date:  11 June 2012
  • Published Online:  05 December 2012

Multiscale permutation entropy analysis of oil-in-water type two-phase flow pattern

  • 1. School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 41174109, 50974095, 61104148), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006).

Abstract: We investigate the dynamic characteristics of vertical upward water-dominant oil-water two-phase flow by multiscale permutation entropy algorithm. We first measure the two-phase flow conductance fluctuation signals in a 20 mm inner-diameter pipe. Then we calculate the multiscale permutation entropies for different water-dominant flow patterns. The results indicate that multiscale permutation entropy rate and average of mutiscale permutation entropy can be used as quantitative parameters for measuring complexity of water dominant oil-water two-phase flow. In addition, we propose a new approach to identify different water-dominant flow patterns by using the joint distribution of multiscale permutation entropy rate and cumulant of increment series.

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