In the daily operation of an oil production system, it is often required to choke back some of the oil production wells to ensure that the processing capacity is not over-utilized. When the capacity of some processing resource is over-utilized, wells having large ratios between the consumption of the resource and the oil production rate are choked back. When there is free processing capacity, the chokes of the wells having small ratios are opened. Often, the gas or water oil ratios (derived from the water cuts) are used as such ratios. These ratios are uncertain. This paper proposes to use information about the uncertainties of the gas or water oil ratios to find the order of opening and closing the wells to maximize the expected total oil production rate from the wells. In a computational study based on field data, it is found that the order may be different from the one found using the expected value of the gas or water oil ratios and that the expected total oil production rate was increased by 10.1 % for this particular case.

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