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Production from highly stratified reservoirs can result in significant crossflow between layers through wellbores. This paper describes a new, relatively simple superposition method to represent this, crossflow in a numerical simulator. The method calculates vertical wellbore saturation variations throughout the wellbore and gives more accurate results than a fully mixed wellbore method. Equations are given for the new method, a fully mixed wellbore method, and the exact solution for crossflow in a well completed in a column of gridblocks. Three examples, including a field-scale depletion, are given comparing exact results with those from the superposition and fully mixed wellbore methods.

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