Abstract A semi-analytical model for the production interference of multiple reservoirs sharing a common aquifer is presented in this work. A two dimensional finite aquifer is considered, with nr reservoirs located across the aquifer domain. Water injection is allowed through nw arbitrarily located injection wells. The solution to this problem provides the pressure distribution in the aquifer and the average pressure and water influx for each of the reservoirs, as a function of time. The flow behavior in a given aquifer-reservoirs system was found to be governed by the hydraulic diffusivity of the aquifer, ηα, the pore volume-total compressibility of the aquifer, (Vpct)a, and of the reservoirs, (Vpct)r, r = 1,2,…,nr the aquifer dimensions, xe,ye, and the location of the reservoirs within the aquifer. These parameters can be estimated through the model by history matching the average pressure of the reservoirs; the estimation of the water influx in each reservoir is obtained through the matching process. A field application of the model is presented, which consists of the characterization of a system of three naturally fractured reservoirs sharing a common aquifer in the Gulf of México. Parameters estimated through the model were found most valuable as input data for numerical reservoir simulation of the system.