I am looking to identify the optimal parameters for a sand water filter (a ratio of coarse sand to fine sand) which has the fastest flow rate with the minimum cloudiness in the effluent water.

Without running multiple iterations of this sand filter, with different ratios, is it possible for me to try and build a model which will help me to identify the correct parameters of the sand filter while minimizing the number of iterations of the testing?

My first thought would be a linear model, with perhaps 3-5 test iterations, and then estimate the inflection point where I would want to set my sand filter ratio?

Thanks for your insights.

I am looking to identify the optimal parameters for a sand water filter (a ratio of coarse sand to fine sand) which has the fastest flow rate with the minimum cloudiness in the effluent water.

Without running multiple iterations of this sand filter, with different ratios, is it possible for me to try and build a model which will help me to identify the correct parameters of the sand filter while minimizing the number of iterations of the testing?

My first thought would be a linear model, with perhaps 3-5 test iterations, and then estimate the inflection point where I would want to set my sand filter ratio?