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Research Article

Solution gas-oil ratio estimation using histogram gradient boosting regression, machine learning, and mathematical models: a comparative analysis

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Pages 379-396 | Received 01 Oct 2023, Accepted 12 Nov 2023, Published online: 29 Nov 2023
 

ABSTRACT

Quantifying gas solubility in oil under reservoir conditions is essential in reservoir engineering. Several laboratory techniques have been suggested to quantify it; nevertheless, these procedures are characterized by their demanding time requirements and high costs. Estimating the solution gas-oil ratio relies significantly on applying mathematical and artificial intelligence models. The research commenced by collecting 757 datasets from published articles. Subsequently, the data was partitioned into two distinct categories: training and test data. Following this data preparation phase, artificial intelligence models, including Histogram Gradient Boosting Regression (HGBoost), Adaptive Boosting (AdaBoost), Support Vector Regression (SVR), and the Adaptive Neuro-Fuzzy Inference System (ANFIS), were employed to model the solution gas-oil ratio. Additionally, the Memetic algorithm (MA) was employed to recompute the coefficients of the Petrosky and Farshad model, initially developed with 81 data points, using an expanded dataset of 605 training instances. Subsequently, model accuracy and performance were assessed through statistical and visual analyses. The results indicate that the HGBoost model performs best, achieving an overall R2 of 0.9886 and an overall RMSE of 41.29 scf/STB. Notably, among the mathematical models, the modified Petrosky and Farshad model stands out with an overall R2 of 0.9078 and an overall RMSE of 114.49 scf/STB. The Taylor diagram and violin plot both indicate that the HGBoost model and the modified Petrosky and Farshad model outperform other machine learning models and mathematical models, respectively. These results demonstrate the accuracy of the models described in this study.

Nomenclature

AdaBoost=

Adaptive Boosting

AI=

Artificial Intelligence

ANFIS=

Adaptive Neuro-Fuzzy Inference System

ANN=

Artificial Neural Network

API=

API oil gravity, (API)

DT=

Decision Tree

FIS=

Fuzzy Inference System

GEP=

Gene-Expression Programming

HGBoost=

Histogram Gradient Boosting Regression

LSSVM=

Least Square Support Vector Machine

MA=

Memetic algorithm

MAD=

Mean Absolute Deviation

MF=

Membership Function

ML=

Machine Learning

MLP=

Multi-Layer Perceptron

N=

Count of data records

O=

Output

Pb=

Bubble point pressure, (psi)

PSO=

Particle Swarm Optimization

PVT=

Pressure-volume-temperature

R2=

Coefficient of determination

RBF=

Radial Basis Function

RMSE=

Root mean-square error

Rs=

Solution gas-oil ratio, scf/STB

SAA=

Simulated Annealing Algorithm

SG=

Gas Specific Gravity

SI=

Scatter Index

SVM=

Support Vector Machine

SVR=

Support Vector Regression

T=

Temperature, F

TSK=

Takagi-Sugeno-Kang

w=

Weight

γg=

Gas Specific Gravity

γo=

Oil Specific Gravity

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data will be obtainable upon request.

Author contributions

H.Y.: Conceptualization, Methodology, Investigation, Software, Data curation, Visualization, Writing-Original Draft, Writing-Review & Editing, Validation.

Additional information

Correspondence and requests for materials should be addressed to H.Y.

Acknowledgments

The author acknowledges ChatGPT version 3.5 and Grammarly for enhancing the text quality through paraphrasing in this article. The original text of the essay was written based on scientific sources and subsequently rephrased using ChatGPT version 3.5 and Grammarly to enhance its quality.

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