A horizontal oil-hearing stratum is \(3 \mathrm{~m}\) high and, after hydraulic fracturing ("fracking"), provides a volume flow rate of \(Q=1000 \mathrm{~m}^{3} / \mathrm{hr}\). The flow moves radially inward and is collected by a vertical porous pipe having an outer radius of \(1.0 \mathrm{~m}\). The Laplace equation for the potential flow model of the oil is

\[ \frac{1}{r}\left(\frac{\partial \Phi}{\partial r}\right)+\frac{\partial^{2} \Phi}{\partial r^{2}}+\frac{1}{r^{2}}\left(\frac{\partial^{2} \Phi}{\partial \theta^{2}}\right)=0 \]

Find \(\Phi\).