Abstract
Abstract Mathematical models to predict oil production accurately by gravity drainage have been few. To this end, an analytical model was developed to determine the ultimate oil recovery by free-fall gravity drainage. An empirical oil recovery model was proposed accordingly to match and predict oil production. The model was tested against experimental, numerical, and field data of oil production by free-fall gravity drainage. The results demonstrated that the oil recovery model could work satisfactorily in the oil-gas cases studied. Initial oil production rate, entry capillary pressure, and average residual oil saturation can be estimated using the oil recovery model. An approach was also developed to infer capillary pressure curves from the oil production data by free-fall gravity drainage.
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