BAYESIAN INVERSION USING GLOBAL-LOCAL FORWARD MODELS APPLIED TO FRACTURE PROPAGATION IN POROUS MEDIA

authored by: Nima Noii, Amirreza Khodadadian, Thomas Wick
Abstract: In this work, we are interested in parameter estimation in fractured media using Bayesian inversion. Therein, to reduce the computational costs of the forward model, a nonintrusive global–local approach is employed, rather than using fine-scale high-fidelity simulations. The crack propagates within the local region, and a linearized coarse model is employed in the global region. Here, a predictor–corrector mesh refinement approach is adopted, in which the local domain is dynamically adjusted to the current fracture state. Both subdomains change during the fluid injection time. Our algorithmic developments are substantiated with some numerical tests using phase-field descriptions of hydraulic fractures. The obtained results indicate that the global-local approach is an efficient technique for Bayesian inversion. It has the same accuracy as the full approach; however, the computational time is significantly lower.
Organisation(s): Institute of Continuum Mechanics
Institute of Applied Mathematics
External Organisation(s): École normale supérieure Paris-Saclay (ENS Paris-Saclay)
Type: Article
Journal: International Journal for Multiscale Computational Engineering
Volume: 20
Pages: 57-79
No. of pages: 23
ISSN: 1543-1649
Publication date: 2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Control and Systems Engineering, Computational Mechanics, Computer Networks and Communications
Electronic version(s): https://doi.org/10.1615/IntJMultCompEng.2021039958 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{804d6131e88041a1ba793357f5d2db13,
title = "BAYESIAN INVERSION USING GLOBAL-LOCAL FORWARD MODELS APPLIED TO FRACTURE PROPAGATION IN POROUS MEDIA",
abstract = "In this work, we are interested in parameter estimation in fractured media using Bayesian inversion. Therein, to reduce the computational costs of the forward model, a nonintrusive global–local approach is employed, rather than using fine-scale high-fidelity simulations. The crack propagates within the local region, and a linearized coarse model is employed in the global region. Here, a predictor–corrector mesh refinement approach is adopted, in which the local domain is dynamically adjusted to the current fracture state. Both subdomains change during the fluid injection time. Our algorithmic developments are substantiated with some numerical tests using phase-field descriptions of hydraulic fractures. The obtained results indicate that the global-local approach is an efficient technique for Bayesian inversion. It has the same accuracy as the full approach; however, the computational time is significantly lower.",
keywords = "Bayesian inversion, global-local, hydraulic fractures, multiscale, phase-field, porous media",
author = "Nima Noii and Amirreza Khodadadian and Thomas Wick",
note = "Funding Information: Noii was founded by the Priority Program DFG SPP 2020 that is, Cyclical Damage Processes in High-Performance Concrete, within its second funding phase. Wick has been supported by the German Research Foundation, Priority Program 1962 (DFG SPP 1962) within the subproject, Optimizing Fracture Propagation Using a Phase-Field Approach, with the Project No. 314067056. ",
year = "2022",
doi = "10.1615/IntJMultCompEng.2021039958",
language = "English",
volume = "20",
pages = "57--79",
journal = "International Journal for Multiscale Computational Engineering",
issn = "1543-1649",
publisher = "Begell House Inc.",
number = "3",
}