The geological evaluation of a vertical cylindrical rock formation $($radius: $r=1km,$ depth: $h=3km)$ yields three successive layers of obsidian, sandstone and granite $($in order of increasing depth$).$ Each layer's thickness is $10\%$ larger than that of the previous one. The most promising of these layers has a permeability of $30D.$ The oilfield development company has decided to install an influx sleeve in the respective part of the well, and not in other layers. The pressure at the outer formation boundary is: $P_e=1\mathrm{.}2,$ and reservoir crude viscosity can be approximated as: $=3$ Pas. Compute the volumetric flow $($litres per hour$)$ achievable for a vertical well $($diameter: $1m)$ drilled at the centre of the formation. What happens if the diameter changes?

Draw a diagram; state all assumptions; define all symbols used, as well as their units. $($you should do all these always, even if the problem does not explicitly ask for them$).$