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dc.contributor.authorLitvinenko, Alexander
dc.contributor.authorLogashenko, Dmitry
dc.description.abstractIn many countries, groundwater is the strategic reserve, which is used as drinking water and as an irrigation resource. Therefore, accurate modeling of the pollution of the soil and groundwater aquifer is highly important. As a model, we consider a density-driven groundwater flow problem with uncertain porosity and permeability. This problem may arise in geothermal reservoir simulation, natural saline-disposal basins, modeling of contaminant plumes and subsurface flow. This strongly non-linear problem describes how salt or polluted water streams down building ''fingers". The solving process requires a very fine unstructured mesh and, therefore, high computational resources. Consequently, we run the parallel multigrid solver UG4 ( on Shaheen II supercomputer. The parallelization is done in both - the physical space and the stochastic space. The novelty of this work is the estimation of risks that the pollution will achieve a specific critical concentration. Additionally, we demonstrate how the multigrid UG4 solver can be run in a black-box fashion for testing different scenarios in the density-driven flow. We solve Elder's problem in 2D and 3D domains, where unknown porosity and permeability are modeled by random fields. For approximations in the stochastic space, we use the generalized polynomial chaos expansion. We compute different quantities of interest such as the mean, variance and exceedance probabilities of the concentration. As a reference solution, we use the solution, obtained from the quasi-Monte Carlo method.
dc.rightsCC0 1.0 Universal
dc.subjectdensity driven flow with uncertain parameters
dc.subjectgeneralized PCE
dc.subjectuncertainty quantification
dc.subjectrandom field
dc.subjectparallel computation
dc.subjectDarcy flow
dc.subjectuncertain porosity
dc.subjectreservoir simulation
dc.titleUncertainty quantification of groundwater contamination
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.conference.dateOctober 8, 2018
dc.conference.nameExtreme Computing Research Center Group Seminar at KAUST

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CC0 1.0 Universal
Except where otherwise noted, this item's license is described as CC0 1.0 Universal