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Fractal Analysis of Chaotic Fluctuations in Oil Production

  • E. E. Ramazanova
  • A. A. Abbasov
  • H. Kh. Malikov
  • A. A. Suleymanov
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 896)

Abstract

Diagnosis criteria of dynamic series chaotic data are described in this paper.

The chaotic data can conventionally divide in rectifiable and non-rectifiable in fractal surface.

A simplified approach of fractal dimension evaluation of dynamic series has been developed.

Developed a coefficient for calculating of processes with neighbor fractal dimensions.

Offered nonparametric criteria for non-rectifiable on fractal surface chaotic data. The criteria are can recognize changing in dynamical system state.

The offered methods have been validated on modeling and oil field cases. Diagnosis of oil well performance has been realized as a case study of practical using.

Evaluation of the offered methods is easily carried out which is valuable in practical computations.

Keywords

Chaotic fluctuations Fractal analysis Oil production 

References

  1. 1.
    Haken, H.: Synergetics: Introduction and Advanced Topics. Springer, Berlin (2004)CrossRefGoogle Scholar
  2. 2.
    Mirzajanzadeh, A., Shahverdiyev, A.: Dynamic processes in oil and gas production: system analysis, diagnosis, prognosis. Nauka, Moscow (1997)Google Scholar
  3. 3.
    Mirzajanzadeh, A., Hasanov, M., Bahtizin, R.: Modeling of oil and gas production processes. ICR, Moscow (2004)Google Scholar
  4. 4.
    Mirzajanzadeh, A., Aliev, N., Yusifzade, Kh.: Fragments on development of offshore oil and gas fields. Elm, Baku, Azerbaijan (1997)Google Scholar
  5. 5.
    Mandelbrot, B.: Fractals, Hasard et Finance. Flammarion, Paris (1997)CrossRefGoogle Scholar
  6. 6.
    Peters, E.: Chaos and Order in the Capital Markets. Wiley, New York (1996)Google Scholar
  7. 7.
    Mandelbrot, B.: Statistical self-similarity and fractional dimension. Science 156, 636–638 (1967)CrossRefGoogle Scholar
  8. 8.
    Mandelbrot, B.: The Fractal Geometry of Nature. Freeman, New York (1982)zbMATHGoogle Scholar
  9. 9.
    Hardy, H., Beier, R.: Fractals in Reservoir Engineering. World Scientific, London (1994)CrossRefGoogle Scholar
  10. 10.
    Abbasov, A., Suleymanov, A., Ismaylov, A.: Determination of fractal dimension of time series. Azerbaijan Oil Ind. 6, 8–11 (2000)Google Scholar
  11. 11.
    Suleymanov, A., Abbasov, A., Ismaylov, A.: Application of fractal analysis of time series in oil and gas production. Pet. Sci. Technol. 27, 915–922 (2009)CrossRefGoogle Scholar
  12. 12.
    Feder, E.: Fractals. Plenum Press, New York (1988)CrossRefGoogle Scholar
  13. 13.
    Peters, E.: Fractal Market Analysis. Wiley, New York (2003)Google Scholar
  14. 14.
    Dake, L.: The Practice of Reservoir Engineering. Elsevier, New York (2001)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • E. E. Ramazanova
    • 1
  • A. A. Abbasov
    • 2
  • H. Kh. Malikov
    • 1
  • A. A. Suleymanov
    • 1
  1. 1.Scientific Research Institute “Geotechnological Problems of Oil, Gas and Chemistry”BakuAzerbaijan
  2. 2.SOCAR, Oil and Gas Reservoirs and Reserves Management DepartmentBakuAzerbaijan

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