Skip to main content
Log in

On the problem of spacing of oil wells and control of their production rates

  • Determinate Systems
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A statement and a numerical solution of the optimization problem for sites of spacing of wells (well clusters) and modes of their operation in an oil field are presented. The mathematical problem represents a parametric problem of optimal control of the distributed system with concentrated sources, which is described by partial differential equations. Similar problems arise in the development and control of technological processes of various assignments and the design of control systems of technical objects. For its numerical solution, the initial problem is reduced to a finite-dimensional optimization problem with constraints of special features. Formulas of a gradient of the functional of the reduced problem are derived. Results of the solution of control problems are given.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Charnyi, I.A., Podzemnaya gidrogazodimamika (Underground Hydrogasdynamics), Moscow: GNTI, 1963.

    Google Scholar 

  2. Aziz, H. and Settari, E., Matematicheskoe modelirovanie plastovykh system (Mathematical Modeling of Stratum Systems), Moscow: Nedra, 1982.

    Google Scholar 

  3. Butkovskii, A.G., Metody upravleniya sistemami s raspredelennymi parametrami (Methods of Control Systems with Distributed Parameters), Moscow: Nauka, 1975.

    Google Scholar 

  4. Akhmetzyanov, A.V. and Kulibanov, V.N., On the Optimal Control of Oil Deposit Mining, Avtom. Telemekh., 1999, no. 4, pp. 5–13.

  5. Akhmetzyanov, A.V. and Kulibanov, V.N., Optimal Source Placement of Stationary Scalar Fields, Avtom. Telemekh., 1999, no. 6, pp. 50–58.

  6. Ayda-zade, K.R. and Handzel, A.V., Optimization of Oil Field Wells’ Placement, III Int. Conf. Math. Comput. Appl. (ICMCA-2002), Turkey, 2002, pp. 108–110.

  7. Abdulaev, F.M., Ayda-zade, K.R., and Kalaushin, M.A., The Control System of the Yamburg Field, Pribor. Sist. Upravlen., 1990, no. 2, pp. 32–37.

  8. Ayda-zade, K.R., Investigation and the Numerical Solution of Finite-Dimensional Approximation of Control Problems of Distributed Systems, Zh. Vychisl. Mat. Mat. Fiz., 1989, no. 3, pp. 122–130.

  9. Polyak, B.T., Vvedenie v optimizatsiyu (Introduction to Optimization), Moscow: Nauka, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © K.R. Ayda-zade, A.G. Bagirov, 2006, published in Avtomatika i Telemekhanika, 2006, No. 1, pp. 52–62.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ayda-zade, K.R., Bagirov, A.G. On the problem of spacing of oil wells and control of their production rates. Autom Remote Control 67, 44–53 (2006). https://doi.org/10.1134/S0005117906010024

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117906010024

Keywords

Navigation