Uncertainty quantification for flow in highly heterogeneous porous media [electronic resource].
- Washington, D.C. : United States. Dept. of Energy, 2004. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- 10 pages : digital, PDF file
- Additional Creators:
- Los Alamos National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- Natural porous media are highly heterogeneous and characterized by parameters that are often uncertain due to the lack of sufficient data. This uncertainty (randomness) occurs on a multiplicity of scales. We focus on geologic formations with the two dominant scales of uncertainty: a large-scale uncertainty in the spatial arrangement of geologic facies and a small-scale uncertainty in the parameters within each facies. We propose an approach that combines random domain decompositions (RDD) and polynomial chaos expansions (PCE) to account for the large- and small-scales of uncertainty, respectively. We present a general framework and use a one-dimensional flow example to demonstrate that our combined approach provides robust, non-perturbative approximations for the statistics of the system states.
- Published through SciTech Connect., 01/01/2004., "la-ur-04-0349", " la-ur-04-349", Submitted to: XV International Conference, "Computational Methods in Water Resources," Chapel Hill, NC, June 13-17, 2004., and Tartakovsky, D. M. (Daniel M.); Xiu, D. (Dongbin).
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