Cost function for sludge band filters:

The original cost function (A1) for the band filter is as follows:

This has as variable (x) the sludge pumping rate in gallons per minute. Applying the conversion factors from gallons per minute to liters per second, applying a factor of 5% which represents the sludge production that occurs in a plant and applying the elasticity factor, the function obtained is as follows:


Bibliography

Preliminary Cost Estimation Models for Construction, Operation, and Maintenance of Water Treatment Plants. 2013. Jwala R. Sharma, Ph.D., M.ASCE; Mohammad Najafi, Ph.D., P.E., F.ASCE; and Syed R. Qasim, Ph.D., P.E., M.ASCE. | https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29IS.1943-555X.0000155