Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recoveryOpen Access

Keil T, Kleikamp H, Lorentzen R, Oguntola M, Ohlberger M

Research article (journal) | Peer reviewed

Abstract

In this contribution, we develop an efficient surrogate modeling frame- work for simulation-based optimization of enhanced oil recovery, where we particularly focus on polymer flooding. The computational approach is based on an adaptive training procedure of a neural network that directly approximates an input-output map of the underlying PDE- constrained optimization problem. The training process thereby focuses on the construction of an accurate surrogate model solely related to the optimization path of an outer iterative optimization loop. True evalua- tions of the objective function are used to finally obtain certified results. Numerical experiments are given to evaluate the accuracy and efficiency of the approach for a heterogeneous five-spot benchmark problem.

Details about the publication

JournalAdvances in Computational Mathematics (Adv. Comp. Math)
Volume2022
Issue48
Article number73
StatusPublished
Release year2022 (09/11/2022)
Language in which the publication is writtenEnglish
Keywordsenhanced oil recovery; PDE-constrained optimization; surrogate model; neural networks

Authors from the University of Münster

Keil, Tim
Kleikamp, Hendrik
Ohlberger, Mario

Doctorates the publication originates from

Parametrized optimal control and transport-dominated problems: Reduced basis methods, nonlinear reduction strategies and data driven surrogates
Candidate: Kleikamp, Hendrik | Supervisors: Ohlberger, Mario | Reviewers: Ohlberger, Mario; Breiten, Tobias
Period of time: 01/01/2021 - 19/12/2024
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster