Q1. Calculate and plot the production rate and the cumulative production as functions of time for two year period, assuming the skin factor is zero. If pseudo-steady-state is reached, assume that the average reservoir pressure declines at a rate of 500 psi/year after that time. At what time has half of the 2 year's cumulative production been produced? Repeat all calculations, assuming that the skin factor is 10. Hints: At time t,a, both the transient inflow performance relationship (IPR) and the PSS IPR yield the same flow rate. Your goal is to calculate and plot the production rate and cumulative production as function of time. In order to get the cumulative recovery you need to integrate. You can cither do this numerically, or, use some quadrature rule you leamed in calculus for approximating the integral (sec e.g hitp://mathworid wolfram com/TrapezoidalRule. html)