$(60$ points$)$ The following data are from a pumping test where a well was pumped at a rate of $200$ gal per minute. Drawdown as shown was measured in an observation well $250$ ft away from the pumped well. The geologist's log of the well is as follows:

$\backslash$table$[[0-23ft,$Glacial till, brown, clayey$],[23-77ft,$Dolomite, fractured$],[77-182ft,$Shale, black, dense$],[182-217ft,$Sandstone, well$-$cemented, coarse$],[217-221ft,$Shale, gray, limy$]]$

$\backslash$table$[[$Elapsed Time $($min$),$Drawdown $($ft$)],[0,0\mathrm{.}0],[1,0\mathrm{.}66],[1\mathrm{.}5,0\mathrm{.}87],[2\mathrm{.}0,0\mathrm{.}99],[2\mathrm{.}5,1\mathrm{.}11],[3\mathrm{.}0,1\mathrm{.}21],[4\mathrm{.}0,1\mathrm{.}36],[5,1\mathrm{.}49],[6,1\mathrm{.}59],[8,1\mathrm{.}75],[10,1\mathrm{.}86],[12,1\mathrm{.}97]]$