Application of multiscale finite element method in the uncertainty qualification of large-scale groundwater flow View Full Text


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Article Info

DATE

2012-03

AUTHORS

Liangsheng Shi, Jinzhong Yang, Lingzao Zeng

ABSTRACT

In this article, we discuss the application of multiscale finite element method (MsFEM) to groundwater flow in heterogeneous porous media. We investigate the ability of MsFEM in qualifying the flow uncertainty. Monte Carlo simulation is employed to implement the stochastic analysis, and MsFEM is used to avoid a full resolution to the spatial variable conductivity field. Large-scale flow with high variability is investigated by inspecting the single realization as well as the probability distribution functions of head and velocity. The numerical results show that the performance of MsFEM depends on the ratio between the correlation length and the coarse element size. An accurate prediction to the velocity requires a much lower ratio than the head. The MsFEM has different convergence rates for the head and the velocity, while the convergence rates do not deteriorate as the variance grows. More... »

PAGES

393-404

References to SciGraph publications

  • 2009-01. Stochastic analysis of transient three-phase flow in heterogeneous porous media in STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
  • 1989-12. Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media in TRANSPORT IN POROUS MEDIA
  • 2009-08. A stochastic approach to nonlinear unconfined flow subject to multiple random fields in STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
  • 2000-06. Real gas flow through heterogeneous porous media: theoretical aspects of upscaling in STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
  • 2004-08. On the application of stochastic approaches in hydrogeology in STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT
  • 1994. Homogenization of Differential Operators and Integral Functionals in NONE
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    http://scigraph.springernature.com/pub.10.1007/s00477-011-0507-3

    DOI

    http://dx.doi.org/10.1007/s00477-011-0507-3

    DIMENSIONS

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