Application of Mathematical Models in Defining Optimal Groundwater Yield

In this paper are given the results of ground water mathematical modeling of the source zone Sokolovići in order to define the optimal water exploitation. After processing and analyzing the results of hydrogeological and hydrological research of source of Sarajevsko Polje, boundary conditions are selected, and after that were made calibration of mathematical models for Sokolovići zone.Given the complexity and importance of groundwater sources Sokolovići, optimization of the results of the mathematical model is also made in this paper. Optimal exploitation (optima yield) of groundwater is selected based on the three criteria: 1st the provision of river inflow in amount of that will not exceed the natural infiltration in accordance with the appropriate geometry and boundary conditions; 2nd ensuring at least minimum required flow to downstream groundwater source, in quantities that exploitation of Sokolovići water well will not compromise, and 3rd preservation of filtration stability of wells in the Sokolovići area.