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Main Authors: Seabra, G. S., Mücke, N. T., Silva, V. L. S., Voskov, D., Vossepoel, F.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.06110
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author Seabra, G. S.
Mücke, N. T.
Silva, V. L. S.
Voskov, D.
Vossepoel, F.
author_facet Seabra, G. S.
Mücke, N. T.
Silva, V. L. S.
Voskov, D.
Vossepoel, F.
contents This study investigates the integration of machine learning (ML) and data assimilation (DA) techniques, focusing on implementing surrogate models for Geological Carbon Storage (GCS) projects while maintaining high fidelity physical results in posterior states. Initially, we evaluate the surrogate modeling capability of two distinct machine learning models, Fourier Neural Operators (FNOs) and Transformer UNet (T-UNet), in the context of CO$_2$ injection simulations within channelized reservoirs. We introduce the Surrogate-based hybrid ESMDA (SH-ESMDA), an adaptation of the traditional Ensemble Smoother with Multiple Data Assimilation (ESMDA). This method uses FNOs and T-UNet as surrogate models and has the potential to make the standard ESMDA process at least 50% faster or more, depending on the number of assimilation steps. Additionally, we introduce Surrogate-based Hybrid RML (SH-RML), a variational data assimilation approach that relies on the randomized maximum likelihood (RML) where both the FNO and the T-UNet enable the computation of gradients for the optimization of the objective function, and a high-fidelity model is employed for the computation of the posterior states. Our comparative analyses show that SH-RML offers better uncertainty quantification compared to conventional ESMDA for the case study.
format Preprint
id arxiv_https___arxiv_org_abs_2402_06110
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle AI enhanced data assimilation and uncertainty quantification applied to Geological Carbon Storage
Seabra, G. S.
Mücke, N. T.
Silva, V. L. S.
Voskov, D.
Vossepoel, F.
Machine Learning
J.2
This study investigates the integration of machine learning (ML) and data assimilation (DA) techniques, focusing on implementing surrogate models for Geological Carbon Storage (GCS) projects while maintaining high fidelity physical results in posterior states. Initially, we evaluate the surrogate modeling capability of two distinct machine learning models, Fourier Neural Operators (FNOs) and Transformer UNet (T-UNet), in the context of CO$_2$ injection simulations within channelized reservoirs. We introduce the Surrogate-based hybrid ESMDA (SH-ESMDA), an adaptation of the traditional Ensemble Smoother with Multiple Data Assimilation (ESMDA). This method uses FNOs and T-UNet as surrogate models and has the potential to make the standard ESMDA process at least 50% faster or more, depending on the number of assimilation steps. Additionally, we introduce Surrogate-based Hybrid RML (SH-RML), a variational data assimilation approach that relies on the randomized maximum likelihood (RML) where both the FNO and the T-UNet enable the computation of gradients for the optimization of the objective function, and a high-fidelity model is employed for the computation of the posterior states. Our comparative analyses show that SH-RML offers better uncertainty quantification compared to conventional ESMDA for the case study.
title AI enhanced data assimilation and uncertainty quantification applied to Geological Carbon Storage
topic Machine Learning
J.2
url https://arxiv.org/abs/2402.06110