A $300$ mm diameter well with a screen length $20$ m is to be placed in an aquifer of

thickness $40$ m$.$ a$)$ Calculate the specific capacity of this well as percent of the maximum $($full

penetration$).$ b$)$ If you wanted to improve the design in order to reach $98\%$ of the maximum

specific capacity, how many screened sections and of what length would you need to install? c$)$

Comment on the applicability of the equations used in that case.