Uncertainty Quantification of the Buckley Leverett Equation with Random Oil Viscosity

Reservoir simulation is an important but tough task in the petroleum sector. Reservoir properties (rocks and uids) exhibit uncertainties in their values thus, quantification of uncertainty of reservoir prediction models becomes a necessity. In this paper, an application of uncertainty quantification has been carried out using the Buckley Leverett model for two-phase immiscible ow in porous media considering the randomness of oil viscosity in the model. Based on the Monte Carlo method for uncertainty quantification, we use a finite volume scheme to obtain the deterministic solution. Our solutions revealed that water saturation during water ooding process for secondary oil recovery can be affected by randomness of oil viscosity.