We consider the problem of uncertainty quantification analysis of the output of underground flow simulations. We consider in particular fractured media described via the discrete fracture network model; within this framework, we address the relevant case of networks in which the geometry of the fractures is described by stochastic parameters. In this context, due to a possible lack of smoothness in the quantity of interest with respect to the stochastic parameters, well assessed techniques such as stochastic collocation may fail in providing reliable estimates of first-order moments of the quantity of interest. In this paper, we overcome this issue by applying the Multilevel Monte Carlo method, using as underlying solver an extremely robust method.
Uncertainty quantification in Discrete Fracture Network models: stochastic geometry / Berrone, Stefano; Canuto, Claudio; Pieraccini, Sandra; Scialo', Stefano. - In: WATER RESOURCES RESEARCH. - ISSN 1944-7973. - STAMPA. - 54:2(2018), pp. 1338-1352. [10.1002/2017WR021163]
Uncertainty quantification in Discrete Fracture Network models: stochastic geometry
BERRONE, Stefano;CANUTO, CLAUDIO;PIERACCINI, SANDRA;SCIALO', STEFANO
2018
Abstract
We consider the problem of uncertainty quantification analysis of the output of underground flow simulations. We consider in particular fractured media described via the discrete fracture network model; within this framework, we address the relevant case of networks in which the geometry of the fractures is described by stochastic parameters. In this context, due to a possible lack of smoothness in the quantity of interest with respect to the stochastic parameters, well assessed techniques such as stochastic collocation may fail in providing reliable estimates of first-order moments of the quantity of interest. In this paper, we overcome this issue by applying the Multilevel Monte Carlo method, using as underlying solver an extremely robust method.File | Dimensione | Formato | |
---|---|---|---|
WRR_Berrone_Canuto_Pieraccini_Scialo.pdf
Open Access dal 28/08/2018
Descrizione: Articolo principale
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Pubblico - Tutti i diritti riservati
Dimensione
1.9 MB
Formato
Adobe PDF
|
1.9 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2673700
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo