Bayes linear uncertainty analysis for oil reservoirs based on multiscale computer experiments.

Reservoir simulators are important and widely-used tools for oil reservoir management. These simulators are computer implementations of high-dimensional mathematical models for reservoirs, where the model inputs are physical parameters, such as the permeability and porosity of various regions of the reservoir, the extent of potential faults, aquifer strengths and so forth. The outputs of the model, for a given choice of inputs, are observable characteristics such as pressure readings, oil and gas production levels and so forth, for the various wells in the reservoir.