Uncertainty Quantification in Subsurface Modeling

TL;DR: The following techniques for uncertainty and sensitivity analysis are briefly summarized: Monte Carlo analysis, differential analysis, response surface methodology, Fourier amplitude sensitivity test, Sobol’ variance decomposition, and fast probability integration.

TL;DR: In this paper, the authors investigated the validity of the assumed pdf model for the case of inert mixing of two scalars and extended the applicability of the model to multiple scalar mixing.

TL;DR: In this paper, a unified Eulerian-Lagrangian theory is presented for the transport of a conservative solute in a random velocity field that satisfies locally ∇ ∆c(x, t)/∂t + ∇ · ∆(c, t) = ∆∆ t + ∆ (∆, t), where ∆ is a random function including sources and/or the time derivative of head Solute concentration satisfies locally the eulerian equation ∆ c(x and t), t/∆(∆) =

TL;DR: In this article, the authors review the state of the art of stochastic description of hydrogeology with an emphasis on statisticallyinhomogeneous (nonstationary) models.