Direct computation of stochastic flow in reservoirs with uncertain parameters (Q676357)

A direct method is developed for determining the uncertainty in reservoir pressure, flow, and net present value using the time-dependent, one phase, two- or three-dimensional equations of flow through a porous medium. The uncertainty in the solution is modelled as a probability distribution function and is computed from given statistical data for input parameters such as permeability. The procedure can be applied easily to other physical systems modelled by linear or nonlinear partial differential equations with uncertain data.