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Uncertainty quantification for flow and transport in highly heterogeneous porous media based on simultaneous stochastic model dimensionality reduction
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Crevillén-García, D., Leung, P. K., Rodchanarowan, A. and Shah, Akeel A. (2019) Uncertainty quantification for flow and transport in highly heterogeneous porous media based on simultaneous stochastic model dimensionality reduction. Transport in Porous Media, 126 . pp. 79-95. doi:10.1007/s11242-018-1114-2 ISSN 0169-3913.
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Official URL: http://dx.doi.org/10.1007/s11242-018-1114-2
Abstract
Groundwater flow models are usually subject to uncertainty as a consequence of the random representation of the conductivity field. In this paper, we use a Gaussian process model based on the simultaneous dimension reduction in the conductivity input and flow field output spaces in order quantify the uncertainty in a model describing the flow of an incompressible liquid in a random heterogeneous porous medium. We show how to significantly reduce the dimensionality of the high-dimensional input and output spaces while retaining the qualitative features of the original model, and secondly how to build a surrogate model for solving the reduced-order stochastic model. A Monte Carlo uncertainty analysis on the full-order model is used for validation of the surrogate model.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TC Hydraulic engineering. Ocean engineering |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
Library of Congress Subject Headings (LCSH): | Groundwater flow -- Mathematical mdoels, Gaussian processes, Monte Carlo method | ||||||||
Journal or Publication Title: | Transport in Porous Media | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0169-3913 | ||||||||
Official Date: | 15 January 2019 | ||||||||
Dates: |
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Volume: | 126 | ||||||||
Page Range: | pp. 79-95 | ||||||||
DOI: | 10.1007/s11242-018-1114-2 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 10 September 2018 | ||||||||
Date of first compliant Open Access: | 10 September 2018 | ||||||||
RIOXX Funder/Project Grant: |
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