A well is producing in a radial reservoir at a bottom hole pressure of 5,500 psi. The reservoir pressure is 6,000 psi. Oil viscosity is 0.25 ep and the formation volume factor is 1.5 bb/STB. If the permeability of the reservoir is 20 md, the thickness is 30 ft and the drainage radius is 1,000 ft.
i. At what rate will the well produce?
ii. The well bore radius is 6". If, by applying artificial lift method, the bottom hole pressure is reduced to 3,000 psi, at what rate will the well produce?