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Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro mechanical coupling
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SYSNO ASEP 0533163 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Bayesian inversion for steady flow in fractured porous media with contact on fractures and hydro mechanical coupling Tvůrce(i) Blaheta, Radim (UGN-S) RID, SAI, ORCID
Béreš, Michal (UGN-S) ORCID, RID, SAI
Domesová, Simona (UGN-S) ORCID, SAI, RID
Horák, David (UGN-S) SAI, ORCIDCelkový počet autorů 4 Zdroj.dok. Computational Geosciences. - : Springer - ISSN 1420-0597
Roč. 24, February 2020 (2020), s. 1911-1932Poč.str. 22 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova porous media with fractures ; coupled hydro-mechanics ; Bayesian inversion ; multi-dimensional flow model ; contact mechanics on fractures Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP GA19-11441S GA ČR - Grantová agentura ČR ED1.1.00/02.0070 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Způsob publikování Omezený přístup Institucionální podpora UGN-S - RVO:68145535 UT WOS 000517019300001 EID SCOPUS 85081326146 DOI 10.1007/s10596-020-09935-8 Anotace The paper is motivated by a strong interest in numerical analysis of flow in fractured porous media, e.g., rocks in geo-engineering applications. It follows the conception of porous media as a continuum with fractures which are represented as lower dimensional objects. In the paper, the finite element discretization of the flow in coupled continuum and fractures is used. Fluid pressures serve as the basic unknowns. In many applications, the flow is connected with deformations of the porous matrix, therefore, the hydro-mechanical coupling is also considered. The fluid pressure is transferred to the mechanical load in both pores and fractures and the considered mechanical model involves elastic deformations of the porous matrix and opening/closing of the fractures with the non-penetration constraint. The mechanical model with this constraint is implemented via the technique of the Lagrange multipliers, duality formulation, and combination with a suitable domain decomposition method. There is usually lack of information about problem parameters and they undergo many uncertainties coming e.g. from the heterogeneity of rock formations and complicated realization of experiments for parameter identification. These experiments rarely provide some of the asked parameters directly but require solving inverse problems. The stochastic (Bayesian) inversion is natural due to the mentioned uncertainties. In this paper, the implementation of the Bayesian inversion is realized via Metropolis-Hastings Markov chain Monte Carlo approach. For the reduction of computational demands, the sampling procedure uses the delayed acceptance of samples based on a surrogate model which is constructed during a preliminary sampling process. The developed hydro-mechanical model and the implemented Bayesian inversion are tested on two types of model inverse problems. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2021 Elektronická adresa https://link.springer.com/article/10.1007/s10596-020-09935-8
Počet záznamů: 1