This paper presents the process of the temporal and spatial functioning of the water distribution system in the mathematical modeling process. The research was carried out on the Bialystok water network model with particular emphasis on the efficiency and energy efficiency of the pumping units located on the analyzed water distribution system (SDW). The calculations and calibration of the model were performed using the ISYDYW software, with particular emphasis on time and spatial distribution. Particular situations were analyzed, especially when the system operated in exceptional conditions, which most often resulted in failure, leading to a shortage of water supply, and thus energy losses of the pumping units. The obtained results allowed demonstrating the auxiliary role of the simulation method in determining and predicting the effects on the existing emergency states. Possible scenarios were prepared for the observed changes, both in the entire network and at the selected points of the pump systems. Assuming the duration of the failure, its consequences were determined and presented in the form of the indicators discussed.