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A stochastic optimization model for short-term production of offshore oil platforms with satellite wells using gas lift

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Abstract

Continuous gas lift is a popular method to enhance productivity in offshore oil platforms. We propose a steady-state two-stage stochastic programming model to maximize production, where the first-stage injection level determines the production potential, while recourse actions ensure capacity and platform constraints for each uncertainty realization. In particular, we develop a concave approximation of the performance curve that incorporates uncertainty in the water cut (WC) and gas–oil ratio (GOR). We generate WC and GOR realizations using a two-step data-driven approach: we extrapolate the trends using a \(\ell _1\)-filter, and bootstrap historical deviations to generate future realizations of WC and GOR. We present numerical results for the sample average approximation of the problem and assess the solution quality using standard techniques in the literature. Our numerical results suggest that taking uncertainty into account in the problem can lead to considerable gains.

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Fig. 1

adapted from Foss and Jensen (1981)

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Notes

  1. SOS2 stands for Special Ordered Sets of type 2, which is an ordered set of non-negative variables with the following properties: at most two can be non-zero, and if two are non-zero these must be consecutive in their ordering.

  2. Here, \(\xi\) is viewed as a particular realization of the random variable \(\xi\); we use the same symbol in order to alleviate the notation, the interpretation will be clear from the context.

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Acknowledgements

The authors acknowledge the support of Cenpes and Embrapii.

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Authors and Affiliations

  1. Industrial Engineering Department, PUC-Rio, Rio de Janeiro, Brazil

    Carlos Gamboa, Thuener Silva & Davi Valladão

  2. School of Business, Universidad Adolfo Ibáñez, Santiago, Chile

    Bernardo K. Pagnoncelli & Tito Homem-de-Mello

  3. CENPES, Petrobras, Rio de Janeiro, Brazil

    Bruno Vieira & Alex Teixeira

Authors
  1. Carlos Gamboa
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  2. Thuener Silva
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  3. Davi Valladão
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  4. Bernardo K. Pagnoncelli
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  5. Tito Homem-de-Mello
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  6. Bruno Vieira
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  7. Alex Teixeira
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Correspondence to Carlos Gamboa.

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Gamboa, C., Silva, T., Valladão, D. et al. A stochastic optimization model for short-term production of offshore oil platforms with satellite wells using gas lift. TOP 28, 549–574 (2020). https://doi.org/10.1007/s11750-020-00547-0

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