A$.$ Consider the incompressible fluid flow problem in the $1$ D porous body shown in figure below $($viscosity of the fluid is $2\mathrm{.}0$ cp $,$ the formation volume factor is $1$resbb$\frac{l}{S}TB).$

If the well in Block $2$ is produced at a steady flow rate of $-450ST\frac{B}{D},$ and this rate creates a pressure distribution of $p_1=2,400,p_2=800,$ and $p_3=800,$ what is the permeability of this linear, homogeneous system?

What kind of boundary condition would you assign to the extreme left end of the system? Quantify your answer.

If all the length dimensions of Blocks $1,2,$ and $3$ are doubled, what would the flow rate into the well be if the same pressure distribution is assigned to the new system?

Assume that the viscosity of the fluid of Part $1$ is $4$ cp and the wellblock pressure is maintained at $800$ psia. What would the well$-$flow rate and the pressures in Blocks $1$ and $3$ be if the extreme ends of the system represent no$-$flow boundaries?