Skip to main content

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Haken, H.: Synergetics: Introduction and Advanced Topics. Springer, Berlin (2004)

    Book  Google Scholar 

  2. Mirzajanzadeh, A., Shahverdiyev, A.: Dynamic processes in oil and gas production: system analysis, diagnosis, prognosis. Nauka, Moscow (1997)

    Google Scholar 

  3. Mirzajanzadeh, A., Hasanov, M., Bahtizin, R.: Modeling of oil and gas production processes. ICR, Moscow (2004)

    Google Scholar 

  4. Mirzajanzadeh, A., Aliev, N., Yusifzade, Kh.: Fragments on development of offshore oil and gas fields. Elm, Baku, Azerbaijan (1997)

    Google Scholar 

  5. Mandelbrot, B.: Fractals, Hasard et Finance. Flammarion, Paris (1997)

    Book  Google Scholar 

  6. Peters, E.: Chaos and Order in the Capital Markets. Wiley, New York (1996)

    Google Scholar 

  7. Mandelbrot, B.: Statistical self-similarity and fractional dimension. Science 156, 636–638 (1967)

    Article  Google Scholar 

  8. Mandelbrot, B.: The Fractal Geometry of Nature. Freeman, New York (1982)

    MATH  Google Scholar 

  9. Hardy, H., Beier, R.: Fractals in Reservoir Engineering. World Scientific, London (1994)

    Book  Google Scholar 

  10. Abbasov, A., Suleymanov, A., Ismaylov, A.: Determination of fractal dimension of time series. Azerbaijan Oil Ind. 6, 8–11 (2000)

    Google Scholar 

  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)

    Article  Google Scholar 

  12. Feder, E.: Fractals. Plenum Press, New York (1988)

    Book  Google Scholar 

  13. Peters, E.: Fractal Market Analysis. Wiley, New York (2003)

    Google Scholar 

  14. Dake, L.: The Practice of Reservoir Engineering. Elsevier, New York (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Kh. Malikov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ramazanova, E.E., Abbasov, A.A., Malikov, H.K., Suleymanov, A.A. (2019). Fractal Analysis of Chaotic Fluctuations in Oil Production. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Sadikoglu, F. (eds) 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. ICAFS 2018. Advances in Intelligent Systems and Computing, vol 896. Springer, Cham. https://doi.org/10.1007/978-3-030-04164-9_65

Download citation

Publish with us

Policies and ethics