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Efficient Simulations for Contamination of Groundwater Aquifers under Uncertainties
Author(s) -
Litvinenko Alexander,
Logashenko Dmitry,
Tempone Raul,
Wittum Gabriel,
Keyes David
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900023
Subject(s) - aquifer , groundwater contamination , groundwater , contamination , parametric statistics , polynomial chaos , permeability (electromagnetism) , biological dispersal , environmental science , pollution , porosity , groundwater flow , flow (mathematics) , soil science , hydrology (agriculture) , mathematical optimization , geology , mathematics , geotechnical engineering , statistics , monte carlo method , ecology , population , genetics , demography , membrane , sociology , biology , geometry
Accurate modeling of contamination in subsurface flow and water aquifers is crucial for agriculture and environmental protection. Here, we demonstrate a parallel method to quantify the propagation of the uncertainty in the dispersal of pollution in density‐driven flow. We solve an Elder‐like problem, where we use random fields to model the limited knowledge on the porosity and permeability. The uncertain solution, mass fraction, is approximated via low‐cost generalized polynomial chaos expansion (gPCE). Parallelization is done in both the physical and parametric spaces.