Uncertainty Quantification in Discrete Fracture Network Models: Stochastic Geometry

被引：26

作者：

Berrone, Stefano ^{[1
]}

Canuto, Claudio ^{[1
]}

Pieraccini, Sandra ^{[2
]}

Scialo, Stefano ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, Turin, Italy

[2] Politecn Torino, Dipartimento Ingn Meccan & Aerospaziale, Turin, Italy

来源：

WATER RESOURCES RESEARCH | 2018年 / 54卷 / 02期

关键词：

uncertainty quantification; stochastic geometry; discrete fracture network; subsurface flow; multilevel Monte Carlo; VIRTUAL ELEMENT METHOD; TRANSIENT DARCY FLOW; HYBRID MORTAR METHOD; STEADY-STATE METHOD; SOLVING FLOW; POROUS-MEDIA; DIFFERENTIAL-EQUATIONS; OPTIMIZATION APPROACH; SIMULATIONS; TRANSPORT;

D O I：

10.1002/2017WR021163

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

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.

引用

页码：1338 / 1352

页数：15

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