### “Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm”

**Authors:**Zhe Ban, Ali Ghaderi, Nima Janatian and Carlos F. Pfeiffer,

**Affiliation:**University of South-Eastern Norway

**Reference:**2022, Vol 43, No 2, pp. 39-53.

**Keywords:**Gas Lifting Oil Well, Parameter Estimation, Markov Chain Monte Carlo

**Abstract:**Oil well models are frequently used in the oil production process. Estimation of unknown parameters of these models has long been a question of great interest in the oil industry field. Data collected from an oil well system can be useful for identifying and characterizing the parameters in the corresponding model. In this article, we present a solution to estimate the parameters and uncertainty of a gas lifting oil well model by designing Bayesian inference and using the Metropolis-Hastings algorithm. To present and evaluate the estimation, the performance of the chains and the distributions of the parameters were shown, followed by posterior predictive distributions and sensitivity analysis. Compared with the conventional maximum likelihood estimation methods that tried to identify one optimum value for each parameter, more information of the parameters is obtained by using the proposed model. The insights gained from this study can benefit the optimization and advanced control for the oil well operation.

PDF (1883 Kb) DOI: 10.4173/mic.2022.2.1

**DOI forward links to this article:**

[1] Kushila Jayamanne and Bernt Lie (2023), doi:10.4173/mic.2023.1.2 |

[2] Zhe Ban and Carlos Pfeiffer (2023), doi:10.1002/iis2.13046 |

[3] Zhe Ban and Carlos Pfeiffer (2024), doi:10.1016/j.geoen.2024.212954 |

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**BibTeX:**

@article{MIC-2022-2-1,

title={{Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm}},

author={Ban, Zhe and Ghaderi, Ali and Janatian, Nima and Pfeiffer, Carlos F.},

journal={Modeling, Identification and Control},

volume={43},

number={2},

pages={39--53},

year={2022},

doi={10.4173/mic.2022.2.1},

publisher={Norwegian Society of Automatic Control}

};