A deliberately simplified aquifer budget
A fictional class models an aquifer covering 500 square kilometers. Annual recharge is prescribed as 45 millimeters uniformly over that area, while annual pumping is prescribed as 40 cubic hectometers. For this calculation only, the model sets all other boundary inflows, natural discharge, evaporation and exchanges with rivers to zero. These are explicit exercise assumptions rather than a description of any real Spanish aquifer. Students are asked to compute recharge volume and the change in storage over one year. One report treats all rainfall as recharge, although the exercise has already supplied recharge separately. Another converts 45 millimeters to 0.45 meters. A final report correctly calculates a negative storage change but declares that every well must fall by exactly the same number of meters. No storage coefficient, saturated thickness or well geometry has been supplied, so that final inference requires separate examination.
1. Calculate recharge and annual storage change.
Read the worked answer
Forty-five millimeters is 0.045 meters;500 square kilometers is 500 million square meters. Recharge is 22.5 million cubic meters, or 22.5 cubic hectometers. With the stated zero-other-flow assumptions, storage change is 22.5-40=-17.5 cubic hectometers for the year.
2. Can the uniform water-level fall be calculated?
Read the worked answer
No. A volume change alone does not specify a uniform head or water-table change. The calculation would need storage properties, geometry and the appropriate aquifer model. Real groundwater budgets must also restore the flows deliberately excluded from this classroom exercise.