Efficient Uncertainty Quantification Techniques using Multiscale Models
Abstract: In petroleum engineering and hydrology, large uncertainties in reservoirs can greatly affect production and decision making. Better decisions can be made by reducing this uncertainty, making the quantification and reduction of the uncertainty a very important and challenging problem in subsurface modeling. A Langevin method used to sample the posterior distribution of the permeability (conductivity) fields in porous media flows will be presented. Various modifications to this method will be discussed. We will provide computational results applied to two-phase flow using multiscale finite element methods.