Abstract
The advanced water treatment system of activated carbon filtration with ozonization was introduced to the Kanamachi Purification Plant in the Tokyo Metropolitan Government according to recent raw water pollution. This new system requires some mathematical expressions for the plant operation. We proposed some mathematical equations for water head loss in an activated carbon pond and the expansion ratio of activated carbon in a backwashing process. These equations composed of flow flux, water temperature, and a carbon size coincided with the experimental results very well. These expressions also could reduce the activated carbon cost and show the optimum size distribution for the activated carbon. Moreover, they determined the minimum amount of backwashing water.