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The objective of this work is to characterize the mechanism of imbibition, both forced and spontaneous, through the formulation and solution of a mathematical physical model that allows the estimation of the injection rate to achieve imbibition assistance, as well as the prediction of oil production in reservoirs that have similar characteristics to those of the Peruvian northwest. The reservoirs in the northwest are good candidates for additional oil recovery through the water imbibition process, since the low permeability of these reservoirs allows a better performance of capillary forces and the hydraulic fractures provide an important contact area between the rock and the fluid, generating an important opportunity for additional oil recovery. Through this mechanism, it is feasible that mobile oil, without energy to move within the reservoir, can be expelled and replaced by a wetting ...