Uncertainty Propagation for Compositional Flow Using a Probability Distribution Method

Abstract

The paper presents a novel approach for uncertainty propagation in multicomponent two-phase displacements. This approach originates from and extends the frozen streamlines (FROST) distribution method for two-phase Buckley–Leverett displacements described in Ibrahima et al. (Transp Porous Media 109(1):81–107, 2015). The developed FROST method for multicomponent systems relies on the analytical solutions of gas–oil displacements provided by the theory of gas injection processes. With examples considering a stochastic porosity field in 1-D, we apply the developed framework to uncertainty propagation in three- and four-component systems to obtain the probability distribution of different compositions in space and time and verify that the results are in excellent agreement with the reference analytical Monte Carlo simulations.