Abstract

Machine-learning technologies have exhibited robust competences in solving many petroleum engineering problems. The accurate predictivity and fast computational speed enable a large volume of time-consuming engineering processes such as history-matching and field development optimization. The Southwest Regional Partnership on Carbon Sequestration (SWP) project desires rigorous history-matching and multi-objective optimization processes, which fits the superiorities of the machine-learning approaches. Although the machine-learning proxy models are trained and validated before imposing to solve practical problems, the error margin would essentially introduce uncertainties to the results. In this paper, a hybrid numerical machine-learning workflow solving various optimization problems is presented. By coupling the expert machine-learning proxies with a global optimizer, the workflow successfully solves the history-matching and CO2 water alternative gas (WAG) design problem with low computational overheads. The history-matching work considers the heterogeneities of multiphase relative characteristics, and the CO2-WAG injection design takes multiple techno-economic objective functions into accounts. This work trained an expert response surface, a support vector machine, and a multi-layer neural network as proxy models to effectively learn the high-dimensional nonlinear data structure. The proposed workflow suggests revisiting the high-fidelity numerical simulator for validation purposes. The experience gained from this work would provide valuable guiding insights to similar CO2 enhanced oil recovery (EOR) projects.

Highlights

  • The Southwest Regional Partnership on Carbon Sequestration (SWP) project focuses on the design and monitoring of a field-scale CO2 enhanced oil recovery (EOR) process in the Farnsworth Unit (FWU) located in the Anadarko Basin, Texas

  • Due to the long production period, completing one simulation case takes more than 12,000 s of central processing unit (CPU) time, which makes the computational cost of the history-matching process prohibitively expensive

  • The support vector machine (SVM) is a robust regression model employed in this work

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. In the field of reservoir simulation, the machine-learning models comprehend the fluid transportation dynamics in porous media via learning the data structure presented by a knowledge base instead of solving the partial differential equations using numerical and analytical methods [19]. For certain field specified problems, the machine-learning models can be trained utilizing seismic, well-log, and production data, which is competent to assess the production performance within the area covered by the seismic survey [25]. In this case, the machine-learning model can make reliable predictions without the presence of hydrodynamic (permeability, relative permeability, etc.) and petrophysical (fluid composition, pressure-volume-temperature (PVT) data, etc.). We employ case studies by imposing the proposed workflow on the FWU field

Reservoir Modeling
Hydraulic Flow Unit
Updated Geological Model
Injection Pattern Model
Response Surface Models
Multi-Layer Neural Networks
Support Vector Machines
Optimization Protocols
Objective Functions and Constraints
Technical Objective Functions
Treatment of Multiple-Objective Optimizations
Pareto
Optimization Algorithms
Evaluation compute the finesses
1: Initialization
2: Velocity calculation
Multi-Objective
A Multi-Objective Optimization
Note thatthat thethe
Objective
Objective function
Conclusive Remarks
Full Text
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