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

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 corr...

Full description

Bibliographic Details
Main Authors: Zhe Ban, Ali Ghaderi, Nima Janatian, Carlos F. Pfeiffer
Format: Article
Language:English
Published: Norwegian Society of Automatic Control 2022-04-01
Series:Modeling, Identification and Control
Subjects:
Online Access:http://www.mic-journal.no/PDF/2022/MIC-2022-2-1.pdf
_version_ 1811290721709195264
author Zhe Ban
Ali Ghaderi
Nima Janatian
Carlos F. Pfeiffer
author_facet Zhe Ban
Ali Ghaderi
Nima Janatian
Carlos F. Pfeiffer
author_sort Zhe Ban
collection DOAJ
description 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.
first_indexed 2024-04-13T04:18:51Z
format Article
id doaj.art-94c5645db6c04125ab22e9e6087a7580
institution Directory Open Access Journal
issn 0332-7353
1890-1328
language English
last_indexed 2024-04-13T04:18:51Z
publishDate 2022-04-01
publisher Norwegian Society of Automatic Control
record_format Article
series Modeling, Identification and Control
spelling doaj.art-94c5645db6c04125ab22e9e6087a75802022-12-22T03:02:54ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13282022-04-01432395310.4173/mic.2022.2.1Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings AlgorithmZhe BanAli GhaderiNima JanatianCarlos F. PfeifferOil 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.http://www.mic-journal.no/PDF/2022/MIC-2022-2-1.pdfgas lifting oil wellparameter estimationmarkov chain monte carlo
spellingShingle Zhe Ban
Ali Ghaderi
Nima Janatian
Carlos F. Pfeiffer
Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
Modeling, Identification and Control
gas lifting oil well
parameter estimation
markov chain monte carlo
title Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
title_full Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
title_fullStr Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
title_full_unstemmed Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
title_short Parameter Estimation for a Gas Lifting Oil Well Model Using Bayes' Rule and the Metropolis–Hastings Algorithm
title_sort parameter estimation for a gas lifting oil well model using bayes rule and the metropolis hastings algorithm
topic gas lifting oil well
parameter estimation
markov chain monte carlo
url http://www.mic-journal.no/PDF/2022/MIC-2022-2-1.pdf
work_keys_str_mv AT zheban parameterestimationforagasliftingoilwellmodelusingbayesruleandthemetropolishastingsalgorithm
AT alighaderi parameterestimationforagasliftingoilwellmodelusingbayesruleandthemetropolishastingsalgorithm
AT nimajanatian parameterestimationforagasliftingoilwellmodelusingbayesruleandthemetropolishastingsalgorithm
AT carlosfpfeiffer parameterestimationforagasliftingoilwellmodelusingbayesruleandthemetropolishastingsalgorithm