I made some corrections to my post. I have been having problems with vision in my left eye and I am not picking up obvious errors. So I am reposting with corrections. My eyes are not what they used to be:
Having designed a number of municipal water treatment plants you actually can get more water to be filtered through a gravity filter. It all has to do with the sizing of the filter effluent rate control valve which is typically a butterfly valve. You typically determine what the minimum and maximum desired flow rate through your filter. These are your boundary operating conditions.
1. The best control range of a 90 degree butterfly valve is to size it so that it operates between 20 degrees open and 70 degrees open. In this range, the response is close to being linear (i.e. for a slight change in valve position your flow meter will pick up a change in flow)
2. In a standard rate filter you want to be able to filter water between, for example, 1 gpm/ft2 to 4 gpm/ft2.
3. Use the centerline of the effluent rate control valve as your elevation datum. You know what the operating water level is in the filter is in relation to the centerline of the effluent rate control valve. Say that is 14 ft
4. A freshly backwashed filter may have an initial head loss of 3 ft at 4 gpm/ft2 flow. Therefore at 4 gpm/ft2 flow, with a clean filter, you need to kill 11 ft of head. In the old days we used the BIF butterfly valve graphical tables that would show what the valve position would. At 1 gpm/ft2 flow, with a clean filter, you need to kill 11 ft of head the graph will tell you what the valve position will be.
5. A dirty filter may have a terminal head loss of 6 ft. Therefore at 4 gpm/ft2 flow, with a dirty filter, you need to kill 9 ft of head. In the old days we used the BIF butterfly valve graphical tables that would show what the valve position would. At 1 gpm/ft2 flow, with a dirty filter, you need to kill 9 ft of head the graph will tell you what the valve position will be.
6. Therefore (4) and (5) are your boundary conditions. Your valve should be working in the 20 degree to 70 degree open position range for these extreme boundary conditions. It stands to reason that the valve will be more open with a 4 gpm/ft2 flow with a dirty filter when you need to kill 9 ft of head compared to 1 gpm/ft2 flow with a clean filter when you need to kill 11 ft of head.
7. Getting back to achieving 6 gpm/ft2 filter rates. This means your filter effluent rate control valve will be bigger. An analogy would be your kitchen sink. If you want to drain it faster you have to have a bigger drain pipe. The more flow through the filter the more head loss you will have in the filter when it is clean. The filter runs will be shorter because the 6 ft terminal head loss will be reached faster.
8. Having high rate filters are probably okay for turbidity floc situations. It is definitely not okay for color floc. You may need to use polymers to toughen up the floc
9. There are implications upstream in the floc tanks. The increased flow reduces residence mixing time. Will that affect your floc formation
Nowadays, people don’t use graphs. You enter numbers into a valve supplier’s computer program to tell what the valve position will be. One more thing, in addition to the head loss in the filter you also have to take into account the loss in the filter effluent piping up to the filter effluent rate control valve. I think you now have enough to figure it out. Hope this helps