Sample Problem:

You are tasked with assessing the radial groundwater flow from a well in an unconfined aquifer. The well is located in an area with a water table at an initial elevation of $50$ meters. The hydraulic conductivity of the aquifer material is $0\mathrm{.}005\frac{m}{s},$ and the radius of influence $($distance from the well where the impact of pumping is significant$)$ is $100$ meters. The pumping rate is $0\mathrm{.}002\frac{m^3}{s}.$ Determine the radial flow rate at a radial distance of $50$ meters from the well.