Journal
ADVANCES IN WATER RESOURCES
Volume 34, Issue 4, Pages 478-489Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2011.01.001
Keywords
Upscaling; Heterogeneity; Solute transport; Mass transfer
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Funding
- ENRESA [0079000029]
- European Commission
- China Scholarship Council (CSC)
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A methodology for transport upscaling of three-dimensional highly heterogeneous formations is developed and demonstrated. The overall approach requires a prior hydraulic conductivity upscaling using an interblock-centered full-tensor Laplacian-with-skin method followed by transport upscaling. The coarse scale transport equation includes a multi-rate mass transfer term to compensate for the loss of heterogeneity inherent to all upscaling processes. The upscaling procedures for flow and transport are described in detail and then applied to a three-dimensional highly heterogeneous synthetic example. The proposed approach not only reproduces flow and transport at the coarse scale, but it also reproduces the uncertainty associated with the predictions as measured by the ensemble variability of the breakthrough curves. (C) 2011 Elsevier Ltd. All rights reserved.
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