Abstract
In this paper we derive new solutions to the problem of harmonic flow in a bounded porous medium with inclusion of wellbore storage and skin. We present new solutions to varying radial boundary conditions and pay special attention to the cases of pseudo steady and steady state flow. These solutions have a new, special application to cyclically produced wells undergoing artificial lift under these conditions.It is normally difficult for engineers to determine the Productivity Index (PI) or permeability of production wells undergoing cyclic operation. The relationship between bottomhole pressure, cycles, run time % and formation properties is quite non-linear, which we will illustrate here. However, the new theory allows simple determination of PI for such wells. The results will have application to artificially lifted wells or those wells intentionally pulsed in bounded reservoirs. A calculation method is shown for this type of problem along with field application.
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