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Estimation of the Remaining Oil Saturation (ROS, the fraction of pore volume occupied by oil at a given location and time) in a reservoir is one of the key processes in oil field monitoring and exploitation. Because of the various geological, structural, and chemical heterogeneities that exist within the formations composing an oil field, the evolution of ROS as the reservoir gets drained will be heterogeneous as well. Such discrepancies can occur at different scales, from the microscopic (pore size) to the macros...