Polynomial chaos expansion for global sensitivity analysis applied to a model of radionuclide migration in a randomly heterogeneous aquifer

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Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations (2015, background): “Reference Objective of PCE application Type of problem Number/name of uncertain inputs Uncertain output(s) Type of polynomial Order of PCE(s) Method for selection of data points Method for the estimation of PCE coefficients Li and Zhang (2007) UP Flow in saturated media (1D, 2D/HE) 6, 7/hydraulic co”
Efficient posterior exploration of a high‐dimensional groundwater model from two‐stage Markov chain Monte Carlo simulation and polynomial chaos expansion (2013, methodology): “…analysis with known parameter distributions [e.g., Li and Zhang, 2007; Li et al., 2009] or global sensitivity analysis [e.g., Fajraoui et al., 2011; Ciriello et al., 2013], but rarely within the context of parameter estimation [some notable exceptions are Saad and Ghanem, 2009; Zeng and Zhang,…”
Probabilistic assessment of seawater intrusion under multiple sources of uncertainty (2015, background): “The generalized Polynomial Chaos Expansion (gPCE) (e.g. [19,28,36,38,42]) can be employed to build surrogate models of target quantities at a relatively affordable computational cost (see, e.g., [11,15,17] and references therein).”