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The Use of Linear Programming and Mathematical Models in Under-Ground Oil Production

Author

Listed:
  • J. S. Aronofsky

    (Socony Mobil Oil Company, Inc., New York City)

  • A. C. Williams

    (Socony Mobil Oil Company, Inc., New York City)

Abstract

This paper describes how linear programming models can be used to solve crude-oil producing problems for the purpose of economic planning of coordinated operations. Although the methods of linear programming have been used extensively in the oil industry, very little work has been reported to date in extending these methods to the area of underground oil production. Two separate models are presented. The first model schedules production and assumes either a completely developed field, or, in the case of only partially developed fields, it assumes a given drilling schedule. The second model schedules drilling-rig operations when it is assumed that the production from a given well follows a specified production-decline curve. Consideration also is given to a means for optimizing the investors rate of return which appears as a nonlinear parameter in the objective function.

Suggested Citation

  • J. S. Aronofsky & A. C. Williams, 1962. "The Use of Linear Programming and Mathematical Models in Under-Ground Oil Production," Management Science, INFORMS, vol. 8(4), pages 394-407, July.
    • Handle: RePEc:inm:ormnsc:v:8:y:1962:i:4:p:394-407
    DOI: 10.1287/mnsc.8.4.394
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    Cited by:

    1. Carmona-Benítez, Rafael Bernardo & Cruz, Héctor, 2023. "A multiproduct gasoline supply chain with product standardization and postponement strategy," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    2. Kazemi, Yasaman & Szmerekovsky, Joseph, 2015. "Modeling downstream petroleum supply chain: The importance of multi-mode transportation to strategic planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 111-125.
    3. Abdul-Salam, Yakubu & Kemp, Alex & Phimister, Euan, 2022. "Energy transition in the UKCS – Modelling the effects of carbon emission charges on upstream petroleum operations," Energy Economics, Elsevier, vol. 108(C).
    4. Farahani, Mohsen & Rahmani, Donya, 2017. "Production and distribution planning in petroleum supply chains regarding the impacts of gas injection and swap," Energy, Elsevier, vol. 141(C), pages 991-1003.
    5. Amrie Singh & David Dawson & Mark Trigg & Nigel Wright, 2021. "A review of modelling methodologies for flood source area (FSA) identification," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 107(2), pages 1047-1068, June.
    6. Alessandro Aliakbargolkar & Edward F. Crawley, 2013. "Architecting methodology for spatially and temporally distributed resource extraction systems," Systems Engineering, John Wiley & Sons, vol. 16(3), pages 277-286, September.

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