A well is producing from an unsaturated oil reservoir and following data is available:

a$.$ Find the value of productivity index $($J$)$ under the assumption of Darcy's flow. $($calculate $r_e$ from $135$ acre production well spacing. $1$ acre $=43,560f{t}^2)$

b$.$ Find the specific productivity index $(J_s)$

c$.$ Find the total productivity index $(J_T).$

d$.$ Find the productivity index $($Jo$)$ from the well test data.

e$.$ If the drainage area is shaped by faults and its shape resembles to a triangle $($the production well is located in the center of the triangle$)$ what will be the productivity index?

f$.$ Calculate and plot the pressure profile assuming a circular drainage area $1000ft)$ during the stabilized well test. You may use a spreadsheet program to calculate the pressures and plot the pressure profile.