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Mathematical Models for Optimal Timing of Drilling on Multilayer Oil and Gas Fields

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  • Djangir A. Babayev

    (Institute of Cybernetics, Academy of Sciences of Azerbaijan SSR, Baku)

Abstract

The following problem of optimal control of multilayer gas and oil fields is formulated: for a given planning horizon find an optimal number of wells to be drilled on each layer and to be transferred between layers as a function of time to meet technological constraints and requirements, and to provide minimum total reduced cost per unit output. The optimal control problem is presented in the form of a mathematical programming problem with a nonlinear fractional objective function containing separable concave functions, and with separable concave constraints. Constraints describing specific features of gas and oil fields are considered. Solution procedures and applications are discussed.

Suggested Citation

  • Djangir A. Babayev, 1975. "Mathematical Models for Optimal Timing of Drilling on Multilayer Oil and Gas Fields," Management Science, INFORMS, vol. 21(12), pages 1361-1369, August.
  • Handle: RePEc:inm:ormnsc:v:21:y:1975:i:12:p:1361-1369
    DOI: 10.1287/mnsc.21.12.1361
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