The aquifer water is not totally pure, it contains dissolved constituents from natural solids sources such as sulfates and chlorides. Also, there are organic liquids, organic and inorganic constituents dissolved or pathogens from an anthropogenic source. It is important the contaminated water remediation with the control or removal of the source of contamination, avoiding the continuous propagation of the contamination plume in the aquifer and the reduction of contaminant concentration levels. Control and capture of the contamination plume can be done by pumping wells positioned at the edge of the plume, forming the capture zones to prevent the plume propagation to the not contaminated areas and to remove the pollutant from the aquifer. This extraction should be with a few water volumes, as this should be decontaminated and used or discarded. With this research direction, this work is based on the development of a software to simulate the water flow in a confined aquifer and the formation of the capture zone by pumping wells. Also, it is based on the investigation of different pumping operation features to maximize the contaminant extraction with the minimizing of the withdrawn water volume. The developed software uses bi and three-dimensional finite elements; time variation of monophasic flow conditions; obtains the solution in time by the method of direct temporal integration. The numerical studies considered homogeneous or heterogeneous and isotropic aquifer, and the groundwater flow follows Darcy s law. The formation of the capture zone under different hydrogeological conditions was analyzed; also, with pupping wells in different positions, with different flows conditions and with constant pumping and; the use of injection wells reinjecting extracted water. It was verified that the numerical modeling is important to the evaluation of pumping strategies that provide the greatest removal of solute mass with the lowest water volume extraction.